· lectures on the ricci flow peter topping university of warwick after describing the basic...

All orders from individuals must be prepaid or charged on American Express, VISAor MasterCard. Forthcoming titles can be ordered now and will be shipped whenthey become available. Please feel free to share this information with your colleagues.The order form may be photocopied.

To place a telephone order of $25 or more between the hours of 9:00 AM and 5:00 PM ET Monday through Friday: call 1-800-872-7423 in the U.S. and Canada.In Mexico call 55 5519 59 39.

Libraries are encouraged to use their wholesalers.

Please visit us at www.cambridge.org/us/textbooks to request an examination copyof a textbook. You may also speak with a college sales representative at toll free1 866 257 3385 or email your request to [email protected]

We are always pleased to hear about new book proposals. Please contact ourMathematics editor, Roger Astley, at [email protected]

To place an order or to view a complete listing of Cambridge University Press booksin print, please visit our web site at: www.cambridge.org/us. If you would like to beon our electronic mailing list and receive regular information about our new books,please visit: www.cambridge.org/alerts

The best of the backlist is available at a 20% discount, only atwww.cambridge.org/us/promotion/math

Highlights ..........................................p. 3

Logic and Combinatorics ...................p. 4

Algebra .............................................p. 5

Number Theory..................................p. 8

Geometry and Topology ..................p. 10

Analysis and Probability ...................p. 12

Mathematical Physics.......................p. 15

Mathematical Biology ......................p. 17

Statistics ..........................................p. 19

Fluid Dynamics and SolidMechanics ....................................p. 21

Applied Math and ComputationalScience........................................ p. 23

Computer Science ...........................p. 26

General Interest ...............................p. 30

Journals .................................Order Form

Contents

New and Forthcoming Books in

Mathematics

32 Avenue of the AmericasNew York, NY 10013-2473

Mail orders

Phone orders

Library orders

Text

Book Proposals

Web orders

Selected backlist online sale

Cover: Image from Super Fractals, by Michael Fielding BarnsleyCatalog cover design by Logan Johnson & Paul Hanger

Highlights

SuperFractalsMichael Fielding BarnsleyAustralian National University, Canberra

SuperFractals is the long-awaitedsuccessor to Fractals Everywhere, inwhich the power and beauty of IteratedFunction Systems (IFS) were introducedand applied to producing startling andoriginal images that reflect complexstructures found, for example, in nature.This provoked the question of whetherthere is a deeper connection betweentopology, geometry, IFS, and codes on theone hand and biology, DNA, and proteindevelopment on the other. Now, 20 yearslater, Barnsley brings the story up to dateby explaining how IFS have developed inorder to address this issue. New ideassuch as fractal tops and superIFS areintroduced, and the classical deterministicapproach is combined with probabilisticideas to produce new mathematics andalgorithms that open a whole theory thatcould have applications in computergraphics, bioinformatics, economics, signalprocessing, and beyond. For the first time,these ideas are explained in book formand illustrated with breathtaking pictures.Contents:Part I. Geometries and Transformations: 1. Codes,metrics and topologies; 2. Transformations ofpoints, sets, pictures and measures; 3. Semigroupson sets, measures and pictures; Part II. IteratedFunction Systems: 4. IFS acting on measures; 5.More on IFS; Part III. Applications to Graphics: 6.Digital content production; 7. Image compression;8. Super IFS.2006/464 pp./250 color figures84493-2/Hb/$35.00

The Art of MathematicsCoffee Time in MemphisBela BollobásTrinity College, Cambridge

Can a Christian escape from a lion? Howquickly can a rumor spread? Can you foolan airline into accepting oversizebaggage? Recreational mathematics is fullof frivolous questions where themathematician’s art can be brought tobear. But play often has a purpose. Inmathematics, it can sharpen skills, provideamusement, or simply surprise, and booksof problems have been the stock-in-tradeof mathematicians for centuries. Thequestions range in difficulty; the most

challenging offer a glimpse of deepresults that engage mathematicianstoday, while even the easiest promptreaders to think about mathematics. Allcome with solutions, many with hints, andmost with illustrations. Whether you arean expert or amateur mathematician, thisbook will delight for a lifetime.2006/374 pp./85 line diagrams87228-6/Hb/$85.0069395-0/Pb/$34.99

CAMBRIDGE UNIVERSITY PRESSCONGRATULATES TERENCE TAO,

WINNER OF A 2006 FIELDSMEDAL!

Additive CombinatoricsTerence TaoUniversity of California, Los AngelesVan H. VuRutgers University, New Jersey

Additive combinatorics is the theory ofcounting additive structures in sets. Thistheory has seen exciting developmentsand dramatic changes in direction inrecent years, thanks to its connectionswith areas such as number theory, ergodictheory, and graph theory. This graduate-level textbook will allow students andresearchers easy entry into this fascinatingfield. Here, for the first time, the authorsbring together the many different toolsand ideas that are used in the moderntheory, presenting them in an accessible,coherent, and intuitively clear manner, andproviding immediate applications toproblems in additive combinatorics. Thepower of these tools is well demonstratedin the presentation of recent advancessuch as Szemerédi’s theorem onarithmetic progressions, the Kakeyaconjecture and Erdos distance problems,and the developing field of sum-productestimates. The text is supplemented by alarge number of exercises and newresults.Contents:Prologue; 1. The probabilistic method; 2. Sum setestimates; 3. Additive geometry; 4. Fourier analyticmethods; 5. Inverse sumset theorems; 6. Graphtheoretic methods; 7. The Littlewood-Offordproblem; 8. Incidence geometry; 9. Algebraicmethods; 10. Szemerédi’s theorem for k = 3; 11.Szemerédi’s theorem for k > 3; 12. Longarithmetic progressions in sumsets; Bibliography.Cambridge Studies in AdvancedMathematics2006/530 pp./635 exercises85386-9/Hb/$85.00

Lectures on the RicciFlowPeter ToppingUniversity of Warwick

After describing the basic properties of,and intuition behind, the Ricci flow, coreelements of the theory are discussed,including consequences of various formsof maximum principle, issues related toexistence theory, and basic properties ofsingularities in the flow. A detailedexposition of Perelman’s entropyfunctionals is combined with a descriptionof Cheeger-Gromov-Hamiltoncompactness of manifolds and flows toshow how a ‘tangent’ flow can beextracted from a singular Ricci flow.Finally, all these threads are pulledtogether to give a modern proof ofHamilton’s theorem that a closed three-dimensional manifold which carries ametric of positive Ricci curvature is aspherical space form.Contents:1. Introduction; 2. Riemannian geometrybackground; 3. The maximum principle; 4.Comments on existence theory for parabolic PDE;5. Existence theory for the Ricci flow; 6. Ricci flowas a gradient flow; 7. Compactness of Riemannianmanifolds and flows; 8. Perelman’s W entropyfunctional; 9. Curvature pinching and preservedcurvature properties under Ricci flow; 10. Three-manifolds with positive Ricci curvature andbeyond.London Mathematical Society LectureNote Series2006/124 pp.68947-3/Pb/$45.00

PercolationBela BollobásOliver RiordanTrinity College, Cambridge

Percolation theory was initiated some fiftyyears ago as a mathematical frameworkfor the study of random physicalprocesses such as flow through adisordered porous medium. It has provedto be a remarkably rich theory, withapplications beyond natural phenomenato topics such as network modelling. Theaims of this book are twofold. First, topresent classical results in a way that isaccessible to non-specialists. Second, todescribe, for the first time in a book,recent results of Smirnov in conformalinvariance, and outline the proof that thecritical probability for random Voronoipercolation in the plane is 1/2. It will beessential for mathematicians, physicists,

Mathematics

3www.cambridge.org/us/mathematics

electrical engineers, and computerscientists working in this exciting area.Contents:Preface; 1. Basic concepts; 2. Probabilistic tools;3. Percolation on Z2 - the Harris-Kesten Theorem;4. Exponential decay and critical probabilities -theorems of Menshikov and Aizenman & Barsky;5. Uniqueness of the infinite open cluster andcritical probabilities; 6. Estimating criticalprobabilities; 7. Conformal invariance - Smirnov’sTheorem; 8. Continuum percolation; Bibliography;Index; List of notation.2006/334 pp./112 line diagrams87232-4/Hb/$75.00

The Math Behind theMusicLeon HarkleroadMathematics has been used for centuriesto describe, analyze, and create music. Inthis book, Leon Harkleroad explores themath related aspects of music from itsacoustical bases to compositionaltechniques to music criticism, touching onovertones, scales, and tuning systems; themusical dice game attributed to Mozartand Haydn; the several-hundred-year-oldstyle of bell-playing known as ‘ringing thechanges’; the twelve-tone school ofcomposition that strongly influencedmusic throughout the 20th century; andmany other topics involving mathematicalideas from probability theory to Fourierseries to group theory. Both themathematical and the musical conceptsare described in an elementary way,making the book accessible to generalreaders as well as to mathematicians andmusicians of all levels. The book isaccompanied by an audio CD of musicalexamples.OutlooksCo-published with the MAA2006/158 pp.81095-7/Hb/$70.0000935-9/Pb/$24.99

Music: A MathematicalOfferingDavid J. BensonUniversity of Aberdeen

Since the time of the Ancient Greeks,much has been written about the relationbetween mathematics and music, fromharmony and number theory to musicalpatterns and group theory. Here, Bensonprovides a wealth of information toenable the teacher, the student, or theinterested amateur to understand, at

varying levels of technicality, the realinterplay between these two ancientdisciplines. The story involves physics,biology, psychoacoustics, the history ofscience, and digital technology as well as,of course, mathematics and music.Contents:Preface; Introduction; Acknowledgements; 1.Waves and harmonics; 2. Fourier theory; 3. Amathematician’s guide to the orchestra; 4.Consonance and dissonance; 5. Scales andtemperaments: the fivefold way; 6. More scalesand temperaments; 7. Digital music; 8. Synthesis;9. Symmetry in music; Appendix A. Besselfunctions; Appendix B. Equal tempered scales;Appendix C. Frequency and MIDI chart; AppendixD. Intervals; Appendix E. Just, equal andmeantone scales compared; Appendix F. Musictheory; Appendix G. Recordings; Bibliography;Index.2006/400 pp./243 line diagrams/20 half-tones/17 color figures85387-7/Hb/$90.00*61999-8/Pb/$42.99*

Optimization Methods inFinanceGerard CornuejolsCarnegie Mellon University, PennsylvaniaReha TutuncuOptimization models play an increasinglyimportant role in financial decisions. Thisis the first textbook devoted to explaininghow recent advances in optimizationmodels, methods, and software can beapplied to solve problems incomputational finance more efficientlyand accurately. It will be welcomed byapplied mathematicians, operationalresearchers, and others who work inmathematical and computational finance.Contents:1. Introduction; 2. Linear programming: theoryand algorithms; 3. LP models: asset/liability cashflow matching; 4. LP models: asset pricing andarbitrage; 5. Nonlinear programming: theory andalgorithms; 6. NLP volatility estimation; 7.Quadratic programming: theory and algorithms; 8.QP models: portfolio optimization; 9. Conicoptimization tools; 10. Conic optimization modelsin finance; 11. Integer programming: theory andalgorithms; 12. IP models: constructing an indexfund; 13. Dynamic programming methods; 14. DPmodels: option pricing; 15. DP models: structuringasset backed securities; 16. Stochasticprogramming: theory and algorithms; 17. SPmodels: value-at-risk; 18. SP models: asset/liabilitymanagement; 19. Robust optimization: theory andtools; 20. Robust optimization models in finance;Appendix A. Convexity; Appendix B. Cones;Appendix C. A probability primer; Appendix D. Therevised simplex method; Bibliography; Index.Mathematics, Finance and Risk2006/360 pp./43 line diagrams/44 tables/177exercises/15 worked examples86170-5/Hb/$70.00

Logic andCombinatorics

How to Prove ItA Structured Approach2nd EditionDaniel J. VellemanAmherst College, Massachusetts“The prose is clear and cogent ... theexercises are plentiful and are pitchedat the right level.... I recommend thisbook very highly!”MAA Reviews

Geared to preparing students to make thetransition from solving problems toproving theorems, this text teaches themthe techniques needed to read and writeproofs. This new edition contains over 200new exercises, selected solutions, and anintroduction to Proof Designer software.Contents:1. Sentential logic: 2. Quantificational logic; 3.Proofs; 4. Relations; 5. Functions; 6. Mathematicalinduction; 7. Infinite sets.2006/398 pp./10 tables/536 exercises86124-1/Hb/$75.0067599-5/Pb/$29.99

Combinatorics ofSymmetric DesignsYury J. IoninMohan S. ShrikhandeCentral Michigan University

Providing a unified exposition of thetheory of symmetric designs with anemphasis on recent developments, thisvolume covers the combinatorial aspectsof the theory, giving particular attentionto the construction of symmetric designsand related objects. Detailed proofs and alarge number of exercises make it suitableas a text for an advanced course incombinatorial designs.Contents:1. Combinatorics of finite sets; 2. Introduction todesigns; 3. Vector spaces over finite fields; 4.Hadamard matrices; 5. Resolvable designs; 6.Symmetric designs and t-designs; 7. Symmetricdesigns and regular graphs; 8. Block intersectionstructure of designs; 9. Difference sets; 10.Balanced generalized weighing matrices; 11.Decomposable symmetric designs; 12. Subdesignsof symmetric designs; 13. Non-embeddable quasi-residual designs; 14. Ryser designs; Appendix;Bibliography; Index.New Mathematical Monographs2006/534 pp./200 exercises/170 workedexamples81833-8/Hb/$130.00

Mathematics

4Call 1-800-872-7423 • Fax 845-353-4141

Modal Logic forPhilosophersJames W. GarsonUniversity of Houston

This book provides an accessibletreatment of modal logic and itsphilosophical applications, including fullcoverage of quantified modal logic, non-rigid designators, definite descriptions,and the de-re de-dictio distinction.Contents:Introduction; 1. The system K; 2. Extensions of K;3. Intensional semantics; 4. Trees for K; 5. Theaccessibility relation; 6. Trees for extensions of K;7. Converting trees to proofs; 8. Adequacy ofpropositional modal logics; 9 Completeness usingcanonical models; 10. The general axiom; 11.Relations between the modal logics; 12. Systemsfor quantified modal logic; 13. Semantics forquantified modal logics; 14. Trees for quantifiedmodal logic; 15. The adequacy of quantifiedmodal logics; 16. Completeness of quantifiedmodal logics using trees; 17. Completeness usingcanonical models; 18. Descriptions; 19. Lambdaabstraction.2006/472 pp.86367-8/Hb/$80.0068229-0/Pb/$34.99

Grounded Consequencefor Defeasible LogicAldo AntonelliUniversity of California, Irvine

This book explores the foundations ofdefeasible logic, which explores theformal properties of everyday reasoningpatterns whereby people jump toconclusions, reserving the right to retractthem in the light of further information.Although technical in nature, the bookcontains sections that outline basic issuesby means of intuitive and simpleexamples.Contents:1. The logic of defeasible inference; 2. Cyclicnetworks; 3. General extensions; 4. Defeasibleconsequence.2005/130 pp./15 line diagrams84205-0/Hb/$55.00

Mainstream and FormalEpistemologyVincent HendricksRoskilde Universitetscenter, Denmark“Hendricks has succeeded in writing avery useful book…Philosophically itgoes to the heart of issues related tothe conceptual significance of a recentplethora of formal work in epistemiclogic and learning theory. Formally itoffers a very useful landscape ofrecent work including novelcontributions in computationallearning theory by the author andcollaborators.”Notre Dame Philosophy Reviews

Contents:Preface; 1. Introduction; 2. Priming the pump; 3.Mainstream epistemology; 4. Counterfactualepistemology; 5. Contextual epistemology; 6.Logical epistemology; 7. Computationalepistemology; 8. Modal operator epistemology; 9.‘Plethoric’ epistemology; Bibliography.2005/200 pp.85789-9/Hb/$70.00

AlgebraForthcoming…

Handbook of TiltingTheoryEditorsLidia Angeleri HügelUniversità degli Studi dell’Insubria, ItalyDieter HappelTechnische Universität Chemnitz-Zwickan,GermanyHenning KrauseUniversität-Gesamthochschule Paderborn,Germany

The aim of this book is to present thebasic concepts of tilting theory as well asthe variety of applications. It contains acollection of key articles, which togetherform a handbook of the subject andprovide both an introduction andreference for newcomers and expertsalike.Contents and Contributors:1. Introduction; 2. Basic results of classic tiltingtheory L. Angeleri Hügel, D. Happel and H. Krause;3. Classification of representation-finite algebrasand their modules T. Brüstle; 4. A spectralsequence analysis of classical tilting functors S.Brenner and M. C. R. Butler; 5. Derived categoriesand tilting B. Keller; 6. Fourier-Mukai transforms L.Hille and M. Van den Bergh; 7. Tilting theory andhomologically finite subcategories withapplications to quasihereditary algebras I. Reiten;8. Tilting modules for algebraic groups and finitedimensional algebras S. Donkin; 9. Combinatorialaspects of the set of tilting modules L. Unger; 10.Cotilting dualities R. Colpi and K. R. Fuller; 11.Infinite dimensional tilting modules and cotorsionpairs J. Trlifaj; 12. Infinite dimensional tilting

modules over finite dimensional algebras Ø. Solberg; 13. Representations of finite groupsand tilting J. Chuang and J. Rickard; 14. Moritatheory in stable homotopy theory B. Shipley.London Mathematical Society LectureNote Series2007/480 pp.68045-X/Pb/$80.00

Theory of Finite SimpleGroupsGerhard MichlerThis book provides the first representationtheoretic and algorithmic approach to thetheory of abstract finite simple groups.Contents:Introduction; 1. Prerequisites from group theory;2. Group representations and character theory; 3.Modular representation theory; 4. Group orderformulas and structure theorem; 5. Permutationrepresentations; 6. Concrete character tables ofmatrix groups; 7. Methods for constructing finitesimple groups; 8. Finite simple groups with propersatellites; 9. Janko group J1; 10. Higman-Simsgroup HS; 11. Harada group Ha; 12. Thompsongroup Th; Bibliography; List of symbols; Index.New Mathematical Monographs2006/614 pp./200 tables86625-1/Hb/$145.00

Integral Closure ofIdeals, Rings, andModulesIrena SwansonCraig HunekeUniversity of Kansas

This book collects the central notions ofintegral closure and presents a unifiedtreatment. With many worked examplesand exercises, this book will providegraduate students and researchers incommutative algebra or ring theory withan approachable introduction leading intothe current literature.Contents:Table of basic properties; Notation and basicdefinitions; Preface; 1. What is the integral closure;2. Integral closure of rings; 3. Separability; 4.Noetherian rings; 5. Rees algebras; 6. Valuations; 7.Derivations; 8. Reductions; 9. Analyticallyunramified rings; 10. Rees valuations; 11.Multiplicity and integral closure; 12. The conductor;13. The Briançon-Skoda theorem; 14. Two-dimensional regular local rings; 15. Computing theintegral closure; 16. Integral dependence ofmodules; 17. Joint reductions; 18. Adjoints ofideals; 19. Normal homomorphisms; Appendix A.Some background material; Appendix B. Height anddimension formulas; References; Index.London Mathematical Society LectureNote Series2006/446 pp.68860-4/Pb/$65.00

Mathematics


Selected Backlist online sale The best of the backlist is

available at a 20% discount,only at

www.cambridge.org/us/promotion/math

Central Simple Algebrasand Galois CohomologyPhilippe GilleCentre National de la Recherche Scientifique(CNRS), ParisTamás SzamuelyAlfréd Rényi Institute of Mathematics, HungarianAcademy of Sciences, Budapest

This book is the first comprehensive,modern introduction to the theory ofcentral simple algebras over arbitraryfields. Starting from the basics, it reachessuch advanced results as the Merkurjev-Suslin theorem. The book is suitable as atextbook for graduate students and as areference for researchers working inalgebra, algebraic geometry, or K-theory.Contents:1. Quaternion algebras; 2. Central simple algebrasand Galois descent; 3. Techniques from groupcohomology; 4. The cohomological Brauer group;5. Severi-Brauer varieties; 6. Residue maps; 7.Milnor K-theory; 8. The Merkurjev-Suslin theorem;9. Symbols in positive characteristic; Appendix: Abreviary of algebraic geometry; References; Index.Cambridge Studies in AdvancedMathematics2006/356 pp./80 exercises86103-9/Hb/$75.00

Free Ideal Rings andLocalization in GeneralRingsP. M. CohnUniversity College London

This book presents the theory of free idealrings (firs) in detail. There is also a fullaccount of localization, which is treatedfor general rings, but the features arisingin firs are given special attention.Contents:Preface; Note to the reader; Terminology,notations and conventions used; List of specialnotation; 0. Preliminaries on modules; 1. Principalideal domains; 2. Firs, semifirs and the weakalgorithm; 3. Factorization; 4. 2-firs with adistributive factor lattice; 5. Modules over firs andsemifirs; 6. Centralizers and subalgebras; 7. Skewfields of fractions; Appendix; Bibliography andauthor index; Subject index.New Mathematical Monographs2006/594 pp./38 line diagrams/864exercises/19 figures85337-0/Hb/$140.00

Combinatorial MatrixClassesRichard A. BrualdiUniversity of Wisconsin, Madison

This is the first book devoted exclusivelyto existence questions, constructivealgorithms, enumeration questions, andother properties concerning classes ofmatrices of combinatorial significance.Contents:1. Introduction; 2. Basic existence theorems formatrices with prescribed properties; 3. The classA(R; S) of (0,1)-matrices; 4. More on the classA(R; S) of (0,1)-matrices; 5. The class T(R) oftournament matrices; 6. Interchange graphs; 7.Classes of symmetric integral matrices; 8. Convexpolytopes of matrices; 9. Doubly stochasticmatrices.Encyclopedia of Mathematics and itsApplications2006/554 pp./4 tables86565-4/Hb/$110.00

Forthcoming…

Groups St Andrews 2005EditorsC. M. CampbellUniversity of St AndrewsM. R. QuickE. F. RobertsonUniversity of St AndrewsG. C. SmithUniversity of Bath

This two-volume work contains selectedpapers from the international conference“Groups St Andrews 2005,” which washeld at the University of St Andrews inAugust 2005. The regular Proceedings ofGroups St Andrews conferences haveprovided snapshots of the state ofresearch in group theory throughout thepast 25 years. Earlier volumes have had amajor impact on the development ofgroup theory and it is anticipated thatthese volumes will be equally important.London Mathematical Society LectureNote Series

Volume 12007/360 pp.69469-8/Pb/$75.00*

Volume 22007/350 pp.69470-1/Pb/$75.00*

Elements of theRepresentation Theoryof Associative AlgebrasTechniques of Representation TheoryVolume 1Ibrahim AssemUniversité de Sherbrooke, CanadaAndrzej SkowronskiDaniel SimsonUniwersytet Mikolaja Kopernika, Poland“It was written as the basis of a majorcourse introducing graduate studentsto the representation theory ofassocciative algebras. It benefits fromand also reveals the sophisticationnow developed for the treatment ofthis material.... A great deal ofimportant mathematics has been setout in this first volume.”Mathematical Reviews

This first part of a two-volume set offers amodern account of the representationtheory of finite dimensional associativealgebras over an algebraically closed field.The authors present this topic from theperspective of linear representations offinite-oriented graphs (quivers) andhomological algebra. The volume will beof great interest to graduate studentsbeginning research in the representationtheory of algebras and to mathematiciansfrom other fields.Contents:0. Introduction; 1. Algebras and modules; 2.Quivers and algebras; 3. Representations andmodules; 4. Auslander-Reiten theory; 5. Nakayamaalgebras and representation-finite group algebras;6. Tilting theory; 7. Representation-finitehereditary algebras; 8. Tilted algebras; 9. Directingmodules and postprojective components; A.Appendix. Categories functors and homology.London Mathematical Society StudentTexts2006/468 pp.58423-X/Hb/$90.0058631-3/Pb/$45.00

Mathematics

6Call 1-800-872-7423 • Fax 845-353-4141

CALL:1-800-872-7423

FAX ORDERS TO:(845) 353-4141

LOG ON TO:www.cambridge.org/us

ModularRepresentations ofFinite Groups of Lie TypeJames E. HumphreysUniversity of Massachusetts, Amherst

Finite groups of Lie type encompass mostof the finite simple groups. Theirrepresentations and characters have beenstudied intensively for half a century,though some key problems remainunsolved. This is the first comprehensivetreatment of the representation theory offinite groups of Lie type over a field of thedefining prime characteristic.Contents:1. Finite groups of Lie type; 2. Simple modules; 3.Weyl modules and Lusztig’s conjecture; 4.Computation of weight multiplicities; 5. Otheraspects of simple modules; 6. Tensor products; 7.BN-pairs and induced modules; 8. Blocks; 9.Projective modules; 10. Comparison withFrobenius kernels; 11. Cartan invariants; 12.Extensions of simple modules; 13. Loewy series;14. Cohomology; 15. Complexity and supportvarieties; 16. Ordinary and modularrepresentations; 17. Deligne-Lusztig characters;18. The groups G2; 19. General and special lineargroups; 20. Suzuki and Ree groups; Bibliography;Frequently used symbols; Index.London Mathematical Society LectureNote Series2006/250 pp.67454-9/Pb/$55.00

Singularities andComputer AlgebraEditorsChristoph LossenGerhard PfisterUniversität Kaiserslautern

This volume surveys important topics insingularity theory, with a particular focuson computational aspects of the subject.The contributors to this volume describethe development of various areas ofsingularity theory over many years, and arange of open questions are discussed.Researchers in singularity theory,computer algebra, or related subjects willfind that this book contains a wealth ofvaluable information.Contents and Contributors:Preface; Invited lectures; List of participants; 1.Aspects of Gert-Martin Greuel’s mathematicalwork C. Lossen and G. Pfister; 2. Exterior algebramethods for the construction of rational surfacesin the projective fourspace H. Abo and F.-O.Schreyer; 3. Superisolated surface singularities E.Artal Bartolo, I. Luengo and A. Melle Hernandez;4. Linear free divisors and quiver representationsR.-O. Buchweitz and D. Mond; 5. Derivedcategories of modules and coherent sheaves Y. A.Drozd; 6. Monodromy W. Ebeling; 7. Algorithmicresolution of singularities A. Fruhbis-Kruger and G.Pfister; 8. Newton polyhedra of descriminants: acomputation E. Garci a Barroso and B. Teissier; 9.

Depth and differential forms H. A. Hamm; 10. Thegeometry of the versal deformation L. D. Tráng;11. 21 years of SINGULAR experiments inmathematics C. Lossen and H. Schonemann; 12.The patchworking construction in tropicalenumerative geometry E. Shustin; 13. Adjunctionconditions for one-forms on surfaces in projectivethree-space J. H. M. Steenbrink; 14. Sexticsurfaces with ten triple points J. Stevens; 15.Some problems on Lagrangian singularities D. vanStraten; 16. Topology, geometry, and equations ofnormal surface singularities J. Wahl.London Mathematical Society LectureNote Series2006/408 pp.68309-2/Pb/$75.00

Algebra and GeometryAlan F. BeardonUniversity of Cambridge“Beardon has written a fineintroductory text...[he] outlines abeautiful course.”MAA Reviews

“Beardon has prepared a book thatthis reviewer will keep on his shelf asa reference. Highly recommended.”Choice

Contents:1. Groups and permutations; 2. The real numbers;3. The complex plane; 4. Vectors in three-dimensional space; 5. Spherical geometry; 6.Quaternions and isometries; 7. Vector spaces; 8.Linear equations; 9. Matrices; 10. Eigenvectors;11. Orthonormal bases of Euclidean space; 12.Groups; 13. The Möbius group; 14. Group actions;15. Hyperbolic geometry.2005/338 pp./40 line diagrams81362-X/Hb/$90.0089049-7/Pb/$39.99

Lie Algebras of Finiteand Affine TypeRoger CarterUniversity of Warwick

This book provides a thoroughmathematical treatment of the subject,including both the Cartan-Killing-Weyltheory of finite dimensional simplealgebras and the more modern theory ofKac-Moody algebras. Proofs are given indetail and the only prerequisite is a soundknowledge of linear algebra. TheAppendix provides a summary of the basicproperties of each Lie algebra of finiteand affine type.Contents:1. Basic concepts; 2. Representations of solubleand nilpotent Lie algebras; 3. Cartan subalgebras;4. The Cartan decomposition; 5. The root systemsand the Weyl group; 6. The Cartan matrix and theDynkin diagram; 7. The existence and uniquenesstheorems; 8. The simple Lie algebras; 9. Someuniversal constructions; 10. Irreducible modulesfor semisimple Lie algebras; 11. Further propertiesof the universal enveloping algebra; 12. Character

and dimension formulae; 13. Fundamentalmodules for simple Lie algebras; 14. GeneralizedCartan matrices and Kac-Moody algebras; 15. Theclassification of generalised Cartan matrices; 16The invariant form, root system and Weyl group;17. Kac-Moody algebras of affine type; 18.Realisations of affine Kac-Moody algebras; 19.Some representations of symmetrisable Kac-Moody algebras; 20. Representations of affineKac-Moody algebras; 21. Borcherds Lie algebras;Appendix.Cambridge Studies in AdvancedMathematics2005/650 pp./10 line diagrams85138-6/Hb/$80.00

Linear and ProjectiveRepresentations ofSymmetric GroupsAlexander KleshchevUniversity of Oregon

The representation theory of symmetricgroups is one of the most beautiful,popular, and important parts of algebrawith many deep relations to other areasof mathematics, such as combinatorics, Lietheory, and algebraic geometry. Kleshchevdescribes a new approach to the subject,based on the recent work of Lascoux,Leclerc, Thibon, Ariki, Grojnowski,Brundan, and the author. This uniquebook will be welcomed by graduatestudents and researchers as a modernaccount of the subject.Contents:Introduction; Part I. Linear Representations: 1.Notations and generalities; 2. Symmetric groups I;3. Degenerate affine Hecke algebra; 4. First resultson Hn-modules; 5. Crystal operators; 6. Charactercalculations; 7. Integral representations andcyclotomic Hecke algebras; 8. Functors ei and fi;9. Construction of UZ + and irreducible modules;10. Identification of the crystal; 11. Symmetricgroups II; Part II. Projective representations: 12.Generalities on superalgebra; 13. Sergeevsuperalgebras; 14. Affine Sergeev superalgebras;15. Integral representations and cyclotomicSergeev algebras; 16. First results on Xn-modules;17. Crystal operators on Xn; 18. Charactercalculations for Xn; 19. Operators ei and fi; 20.Construction of UZ + and irreducible modules;21. Identification of the crystal; 22. Double covers;Bibliography.Cambridge Tracts in Mathematics2005/292 pp.83703-0/Hb/$80.00

Mathematics





Solving PolynomialEquation Systems IIMacaulay’s Paradigm and GröbnerTechnologyTeo MoraUniversity of Genoa

A complete survey of Gröbner bases andtheir applications, this book will beessential for all workers in commutativealgebra, computational algebra, andalgebraic geometry.Contents:Preface; Part III. Gauss, Euclid, Buchberger -Elementary Gröbner Bases: 20. Hilbert; 21. Gauss;22. Buchberger; 23. Macaulay I; 24. Gröbner I;25. Gebauer and Traverso; 26. Spear; Part IV.Duality: 27. Noether; 28. Möller I; 29. Lazard; 30.Macaulay II; 31. Gröbner II; 32. Gröbner III; 33.Möller II; Part IV. Beyond Dimension Zero: 34.Gröbner IV; 35. Gianni Trager Zacharias; 36.Macaulay III; 37. Galligo; 38. Giusti; Bibliography;Index.Encyclopedia of Mathematics and itsApplications2005/782 pp.81156-2/Hb/$150.00

Poincaré DualityAlgebras, Macaulay’sDual Systems, andSteenrod OperationsDagmar M. MeyerLarry SmithGeorg-August-Universität, Göttingen, Germany

Poincaré duality algebras originated in thework of topologists on the cohomology ofclosed manifolds, and Macaulay’s dualsystems in the study of irreducible idealsin polynomial algebras. Steenrodoperations also originated in algebraictopology and they provide anoncommutative tool to studycommutative algebras over a Galois field.The authors skillfully bring together theseideas and apply them to problems ininvariant theory. A number of remarkableand unexpected interdisciplinaryconnections are revealed that will interestresearchers in the areas of commutativealgebra, invariant theory, or algebraictopology.Contents:Introduction; Part I. Poincaré Duality Quotients:Part II. Macaulay’s Dual Systems and FrobeniusPowers: Part III. Poincaré Duality and the SteenrodAlgebra: Part IV. Dickson, Symmetric, and OtherCoinvariants: Part V. The Hit Problem mod 2: PartVI. Macaulay’s Inverse Systems and Applications:References; Notation; Index.Cambridge Tracts in Mathematics2005/202 pp./5 line diagrams/5 tables/5figures/25 worked examples85064-9/Hb/$75.00

Number Theory

Elliptic FunctionsV. ArmitageW. F. EberleinIn its first six chapters, this text presentsthe basic ideas and properties of theJacobi elliptic functions as a historicalessay. Accordingly, it is based on the ideaof inverting integrals which arise in thetheory of differential equations and, inparticular, the differential equation thatdescribes the motion of a simplependulum. The later chapters present amore conventional approach to theWeierstrass functions and to ellipticintegrals, and the reader is introduced tothe richly varied applications of the ellipticand related functions.Contents:1. The ‘simple’ pendulum; 2. Jacobian ellipticfunctions of a complex variable; 3. Generalproperties of elliptic functions; 4. Theta functions;5. The Jacobian elliptic functions for complex k; 6.Introduction to transformation theory; 7. TheWeierstrass elliptic functions; 8. Elliptic integrals;9. Applications of elliptic functions in geometry;10. An application of elliptic functions in algebrasolution of the general quintic equation; 11. Anarithmetic application of elliptic functions; 12.Applications in mechanics and statistics and othertopics; Appendix; Bibliography.London Mathematical Society StudentTexts2006/402 pp./25 line diagrams/5 tables/25figures78078-0/Hb/$90.0078563-4/Pb/$42.99

Multiplicative NumberTheory IClassical TheoryHugh L. MontgomeryUniversity of Michigan, Ann ArborR. C. VaughanPennsylvania State University

Prime numbers are the multiplicativebuilding blocks of natural numbers.Understanding their overall influence andespecially their distribution gives rise tocentral questions in mathematics andphysics. In particular, their finerdistribution is closely connected with theRiemann hypothesis, the most importantunsolved problem in the mathematicalworld. This book comprehensively coversall the topics met in first courses onmultiplicative number theory and thedistribution of prime numbers.

Contents:Preface; Notation; 1. Dirichlet series-I; 2. Theelementary theory of arithmetic functions; 3.Principles and first examples of sieve methods; 4.Primes in arithmetic progressions-I; 5. Dirichletseries-II; 6. The prime number theorem; 7.Applications of the prime number theorem; 8.Further discussion of the prime number theorem;9. Primitive characters and Gauss sums; 10.Analytic properties of the zeta function and L-functions; 11. Primes in arithmetic progressions-II;12. Explicit formulae; 13. Conditional estimates;14. Zeros; 15. Oscillations of error terms;Appendix A. The Riemann-Stieltjes integral;Appendix B. Bernoulli numbers and the Euler-MacLaurin summation formula; Appendix C. Thegamma function; Appendix D. Topics in harmonicanalysis.Cambridge Studies in AdvancedMathematics2006/584 pp./510 exercises/7 figures84903-9/Hb/$90.00

Hilbert’s Tenth ProblemDiophantine Classes and Extensionsto Global FieldsAlexandra ShlapentokhEast Carolina University

In the late sixties Matiyasevich, buildingon the work of Davis, Putnam, andRobinson, showed that there was noalgorithm to determine whether apolynomial equation in several variablesand with integer coefficients has integersolutions. Hilbert gave finding such analgorithm as problem number ten on a listhe presented at an international congressof mathematicians in 1900. Thus theproblem, which has become known asHilbert’s Tenth Problem, was shown to beunsolvable. This book presents an accountof results extending Hilbert’s TenthProblem to integrally closed subrings ofglobal fields including, in the functionfield case, the fields themselves.Contents:1. Introduction; 2. Diophantine classes: definitionand basic facts; 3. Diophantine equivalence anddiophantine decidability; 4. Integrality at finitelymany primes and divisibility of order at infinitelymany primes; 5. Bound equations for numberfields and their consequences; 6. Units of rings ofW-integers of norm 1; 7. Diophantine classes overnumber fields; 8. Diophantine undecidability offunction fields; 9. Bounds for function fields; 10.Diophantine classes over function fields; 11.Mazur’s conjectures and their consequences; 12.Results of Poonen; 13. Beyond global fields; A.Recursion theory; B. Number theory; Bibliography;Index.New Mathematical Monographs2006/370 pp./18 line diagrams83360-4/Hb/$99.00

Mathematics

8Call 1-800-872-7423 • Fax 845-353-4141

Automorphic Forms andL-Functions for theGroup GL(n,R)Dorian GoldfeldColumbia University, New York

L-functions associated to automorphicforms encode all classical numbertheoretic information. They are akin toelementary particles in physics. This bookprovides an entirely self-containedintroduction to the theory of L-functionsin a style accessible to graduate studentswith a basic knowledge of classicalanalysis, complex variable theory, andalgebra.Contents:Introduction; 1. Discrete group actions; 2.Invariant differential operators; 3. Automorphicforms and L-functions for SL(2,Z); 4. Existence ofMaass forms; 5. Maass forms and Whittakerfunctions for SL(n,Z); 6. Automorphic forms and L-functions for SL(3,Z); 7. The Gelbert-Jacquet lift; 8.Bounds for L-functions and Siegel zeros; 9. TheGodement-Jacquet L-function; 10. LanglandsEisenstein series; 11. Poincaré series andKloosterman sums; 12. Rankin-Selbergconvolutions; 13. Langlands conjectures;Appendix. The GL(n)pack manual; References.Cambridge Studies in AdvancedMathematics2006/508 pp.83771-5/Hb/$90.00

Heights in DiophantineGeometryEnrico BombieriWalter Gubler“Bombieri and Gubler have written anexcellent introduction to someexciting mathematics...written with anexcellent combination of clarity andrigor, with the authors highlightingwhich parts can be skipped on a firstreading and which parts areparticularly important for latermaterial. The book also contains aglossary of notation, a good index,and a nice bibliography collectingmany of the primary sources in thisfield.”MAA Reviews

Diophantine geometry has been studiedby number theorists for thousands ofyears, since the time of Pythagoras, andhas continued to be a rich area of ideassuch as Fermat’s Last Theorem and, mostrecently, the ABC conjecture. Thismonograph is a bridge between theclassical theory and modern approach viaarithmetic geometry. The authors providea clear path through the subject forgraduate students and researchers.

Contents:I. Heights; II. Weil heights; III. Linear tori; IV. Smallpoints; V. The unit equation; VI. Roth’s theorem;VII. The subspace theorem; VIII. Abelian varieties;IX. Neron-tate heights; X. The Mordell-Weilthereom; XI. Faltings theorem; XII. The ABC-conjecture; XIII. Nevanlinna theory; XIV. The Vojtaconjectures; Appendix A. Algebraic geometry;Appendix B. Ramification; Appendix C. Geometryof numbers; Bibliography; Glossary of notation;Index.New Mathematical Monographs2006/668 pp./4 line diagrams/4 figures84615-3/Hb/$130.00

An Introduction to SieveMethods and TheirApplicationsAlina Carmen CojocaruPrinceton University, New JerseyM. Ram MurtyQueen’s University, Ontario“This book provides a sort of unifyingtheory of sieve methods, thusproviding an indispensable resourcefor undergraduate and graduatestudents.”MAA Reviews

Sieve theory has a rich and romantichistory. The ancient question of whetherthere exist infinitely many twin primes(primes p such that p+2 is also prime),and Goldbach’s conjecture that every evennumber can be written as the sum of twoprime numbers, are two of the problemsthat have inspired the development of thetheory. This book provides a motivatingintroduction to sieve theory. Rather thanfocus on technical details which canobscure the beauty of the theory, theauthors focus on examples andapplications, developing the theory inparallel. The text can be used for a seniorlevel undergraduate course or anintroductory graduate course in analyticnumber theory.Contents:1. Some basic notions; 2. Some elementary sieves;3. The normal order method; 4. The Turan sieve; 5.The sieve of Eratosthenes; 6. Brun’s sieve; 7.Selberg’s sieve; 8. The large sieve; 9. TheBombieri-Vinogradov theorem; 10. The lowerbound sieve; 11. New directions in sieve theory;Bibliography.London Mathematical Society StudentTexts2006/236 pp./275 exercises84816-4/Hb/$90.0061275-6/Pb/$39.99

Elementary NumberTheory in Nine Chapters2nd EditionJames J. TattersallProvidence College, Rhode Island“Every chapter has a remarkablecollection of exercises of variousdegrees of difficulty and contains awealth of historical information,which makes interesting reading.”Mathematical Reviews

Intended to serve as a one-semesterintroductory course in number theory, thissecond edition has been revisedthroughout. In particular, the field ofcryptography is highlighted.Contents:1. The intriguing natural numbers; 2. Divisibility; 3.Prime numbers; 4. Perfect and amicable numbers;5. Modular arithmetic; 6. Congruences of higherdegree; 7. Cryptography; 8. Representations; 9.Partitions; Tables; Answers to selected exercises;Bibliography.2005/442 pp./20 tables/200 exercises85014-2/Hb/$85.0061524-0/Pb/$34.99

A ComputationalIntroduction to NumberTheory and AlgebraVictor ShoupNew York University“This is an outstanding and well-written book whose aim is tointroduce the reader to a broad rangeof material — ranging from basic torelatively advanced — withoutrequiring any prior knowledge on thepart of the reader other than calculusand mathematical maturity. That thebook succeeds at this goal is quite anaccomplishment! ...this book is amust-read for anyone interested incomputational number theory oralgebra and especially applications ofthe latter to cryptography. I would nothesitate, though, to recommend thisbook even to students ‘only’interested in the algebra itself (andnot the computational aspectsthereof); especially for computerscience majors, this book is one of thebest available introductions to thatsubject.”SIGACT News

Contents:0. Preliminaries; 1. Basic properties of theintegers; 2. Congruences; 3. Computing with largeintegers; 4. Euclid’s algorithm; 5. The distributionof primes; 6. Finite and discrete probabilitydistributions; 7. Probabilistic algorithms; 8.

Mathematics


Abelian groups; 9. Rings; 10. Probabilisticprimality testing; 11. Finding generators anddiscrete logarithms in Zp*; 12. Quadratic residuesand quadratic reciprocity; 13. Computationalproblems related to quadratic residues; 14.Modules and vector spaces; 15. Matrices; 16.Subexponential-time discrete logarithms andfactoring; 17. More rings; 18. Polynomialarithmetic and applications; 19. Linearlygenerated sequences and applications; 20. Finitefields; 21. Algorithms for finite fields; 22.Deterministic primality testing; Appendix: someuseful facts; Bibliography; Index of notation;Index.2005/534 pp./450 exercises/150 workedexamples85154-8/Hb/$55.00

Geometry andTopology

Methods in BanachSpace TheoryEditorsJesús M. F. CastilloUniversidad de ExtremaduraWilliam B. JohnsonTexas A & M University

This book presents an overview of modernBanach space theory. It contains sixteenpapers that reflect the wide expanse ofthe subject. Articles are gathered into fivesections according to methodology ratherthan the topics considered. The sectionsare: geometrical methods; homologicalmethods; topological methods; operatortheoretic methods; and function spacemethods. Each section contains surveyand research papers describing the state-of-the-art in the topic considered as wellas some of the latest, most importantresults. Researchers working in Banachspace theory, functional analysis, oroperator theory will find much of interesthere.Contributors:S. A. Agyros, A. D. Arvanitakis, A. G. Tolias, J.Becerra, M. Martín, I. Gasparis, E. Odell, B. Wahl,F. C. Sanchez, J. M. F. Castillo, Y. Moreno, N. J.Kalton, J. Wengenroth, M. J. Campión, J. C.Candeal, A. S. Granero, E. Indurain, M. Fabian, M.Sánchez, P. Aiena, M. T. Biondi, E. Saksman, H.-O.Tylli, J. Suárez, L. Weis, J. Caballero, B. López, K.Sadarangani, A. Defant, C. Prengel, A. PelczynskiLondon Mathematical Society LectureNote Series2006/370 pp.68568-0/Pb/$75.00

Spaces of KleinianGroupsEditorsYair N. MinskyYale University, ConnecticutMakoto SakumaUniversity of Osaka, JapanCaroline SeriesUniversity of Warwick

The subject of Kleinian groups andhyperbolic 3-manifolds is currentlyundergoing explosively fast development,the last few years having seen theresolution of many longstandingconjectures. This volume containsimportant expositions and original workby some of the main contributors ontopics such as topology and geometry of3-manifolds, curve complexes, classicalAhlfors-Bers theory, computerexplorations, and projective structures.Researchers in these and related areaswill find much of interest here from theexplosion in the area over recent years,including important and original researchfrom leading names in the field.Contributors:Y. Minsky, M. Sakuma, C. Series, K. Bromberg,K. Oshika, H. Miyachi, C. Lecuire, B. Martelli,H. Akiyoshi, U. Hamenstädt, J. Aramayona,S. A. Wolpert, A. Marden, Y. Komori, J. Gilman,D. J. Wright, S. Kojima, S. Mizushima, S. P. Tan,K. Ito, Y. YamashitaLondon Mathematical Society LectureNote Series2006/398 pp.61797-9/Pb/$70.00

Riemannian GeometryA Modern Introduction2nd EditionIsaac ChavelCity College, City University of New York

Isaac Chavel covers introductory ideasfollowed by a selection of more specializedtopics in this second edition. He providesa clearer treatment of many topics, withnew proofs of some theorems and a newchapter on the Riemannian geometry ofsurfaces. Among the classical topics shownin a new setting is isoperimetricinequalities in curved spaces. Completelynew themes created by curvature includethe classical Rauch comparison theoremand its consequences in geometry andtopology, and the interaction ofmicroscopic behavior of the geometry withthe macroscopic structure of the space.Contents:1. Riemannian manifolds; 2. Riemanniancurvature; 3. Riemannian volume; 4. Riemanniancoverings; 5. Surfaces; 6. Isoperimetric inequalities

(constant curvature); 7. The kinetic density; 8.Isoperimetric inequalities (variable curvature); 9.Comparison and finiteness theorems.Cambridge Studies in AdvancedMathematics2006/488 pp./161 exercises85368-0/Hb/$95.0061954-8/Pb/$45.00

The Cube: A Window toConvex and DiscreteGeometryChuanming ZongPeking University, Beijing

This tract has two purposes: to show whatis known about the n-dimensional unitcubes and to demonstrate how analysis,algebra, combinatorics, graph theory,hyperbolic geometry, and number theorycan be applied to the study of them. Theunit cubes, from any point of view, areamong the most important andfascinating objects in an n-dimensionalEuclidean space.Contents:Preface; Basic notation; 0. Introduction; 1. Crosssections; 2. Projections; 3. Inscribed simplices; 4.Triangulations; 5. 0/1 polytopes; 6. Minkowski’sconjecture; 7. Furtwangler’s conjecture; 8. Keller’sconjecture; Bibliography; Index.Cambridge Tracts in Mathematics2006/184 pp./6 line diagrams/6 figures85535-7/Hb/$70.00

Contact Geometry andNonlinear DifferentialEquationsAlexei KushnerAstrakhan State University, RussiaValentin LychaginUniversitetet i Tromsø, NorwayVladimir RubtsovUniversité d’Angers

Methods from contact and symplecticgeometry can be used to solve highlynon-trivial nonlinear partial and ordinarydifferential equations without resorting toapproximate numerical methods oralgebraic computing software. This bookexplains how it’s done. It combines theclarity and accessibility of an advancedtextbook with the completeness of anencyclopedia.Contents:Introduction; Part I. Symmetries and Integrals: 1.Distributions; 2. Ordinary differential equations; 3.Model differential equations and Lie superpositionprinciple; Part II. Symplectic Algebra: 4. Linearalgebra of symplectic vector spaces; 5. Exterioralgebra on symplectic vector spaces; 6. ASymplectic classification of exterior 2-forms indimension 4; 7. Symplectic classification ofexterior 2-forms; 8. Classification of exterior 3-

Mathematics

10Call 1-800-872-7423 • Fax 845-353-4141

forms on a 6-dimensional symplectic space; PartIII. Monge-Ampère Equations: 9. Symplecticmanifolds; 10. Contact manifolds; 11. Monge-Ampère equations; 12. Symmetries and contacttransformations of Monge-Ampère equations; 13.Conservation laws; 14. Monge-Ampère equationson 2-dimensional manifolds and geometricstructures; 15. Systems of first order partialdifferential equations on 2-dimensional manifolds;Part IV. Applications: 16. Non-linear acoustics; 17.Non-linear thermal conductivity; 18. Meteorologyapplications; Part V. Classification of Monge-Ampère Equations: 19. Classification of symplecticMAEs on 2-dimensional manifolds; 20.Classification of symplectic MAEs on 2-dimensional manifolds; 21. Contact classificationof MAEs on 2-dimensional manifolds; 22.Symplectic classification of MAEs on 3-dimensional manifolds.Encyclopedia of Mathematics and itsApplications2006/480 pp./48 line diagrams/10 half-tones/30 tables82476-1/Hb/$150.00

Introduction to CirclePackingThe Theory of Discrete AnalyticFunctionsKenneth StephensonUniversity of Tennessee“Stephenson is one of a new breed ofpure mathematicians, growing innumber, who love to combineexperiment with theory. This means hehas computer code to carry out thesepackings and investigate theirproperties. And the book is interlacedwith experiments — some successful,some not, some which worked oneday but not the next when pushedfurther. His immense enthusiasm forthis subject comes through on everypage.”American Scientist

Contents:Part I. An Overview of Circle Packing: 1. A circlepacking menagerie; 2. Circle packings in the wild;Part II. Rigidity: Maximal Packings: 3.Preliminaries: topology, combinatorics, andgeometry; 4. Statement of the fundamental result;5. Bookkeeping and monodromy; 6. Proof forcombinatorial closed discs; 7. Proof forcombinatorial spheres; 8. Proof for combinatorialopen discs; 9. Proof for combinatorial surfaces;Part III. Flexibility: Analytic Functions: 10. Theintuitive landscape; 11. Discrete analyticfunctions; 12. Construction tools; 13. Discreteanalytic functions on the disc; 14. Discrete entirefunctions; 15. Discrete rational functions; 16.Discrete analytic functions on Riemann surfaces;17. Discrete conformal structure; 18. Randomwalks on circle packings; Part IV: 19. Thurston’sConjecture; 20. Extending the Rodin/Sullivantheorem; 21. Approximation of analytic functions;22. Approximation of conformal structures; 23.Applications; Appendices.2005/368 pp./190 line diagrams/10 colorplates82356-0/Hb/$60.00

Global Analysis onFoliated Spaces2nd EditionCalvin C. MooreUniversity of California, BerkeleyClaude L. SchochetWayne State University, Detroit

Foliated spaces look locally like products,but their global structure is generally nota product, and tangential differentialoperators are correspondingly morecomplex. In the 1980s, Alain Connesfounded what is now known asnoncommutative geometry. One of thefirst results was his generalization of theAtiyah-Singer index theorem to computethe analytic index associated with atangential (pseudo)-differential operatorand an invariant transverse measure on afoliated manifold, in terms of topologicaldata on the manifold and the operator.This book presents a complete proof ofthis beautiful result, generalized tofoliated spaces (not just manifolds).Contents:Introduction; 1. Locally traceable operators; 2.Foliated spaces; 3. Tangential cohomology; 4.Transverse measures; 5. Characteristic classes; 6.Operator algebra; 7. Pseudodifferential operators;8. The index theorem; Appendices.Mathematical Sciences Research InstitutePublications2006/308 pp.61305-1/Pb/$39.99

Geometry and TopologyMiles ReidUniversity of WarwickBalazs SzendroiUniversiteit Utrecht, The Netherlands“A welcome addition to theundergraduate library. Highlyrecommended.”Choice

Geometry is central to many branches ofmathematics and physics, and offers acomplete range of views on the universe.This introduction includes many simpleexplanations and examples. With minimalprerequisites, the book provides a firstglimpse of many research topics in modernalgebra, geometry, and theoretical physics.Contents:0. Introduction; 1. Euclidean geometry; 2.Composing maps; 3. Non-Euclidean; 4. Affinegeometry; 5. Projective geometry; 6. Geometryand group theory; 7. Topology; 8. Geometry oftransformation groups; 9. Concluding remarks; A.Metrics; B. Linear algebra; References; Index.2005/214 pp./92 line diagrams/1 half-tone/156exercises/92 figures84889-X/Hb/$95.0061325-6/Pb/$45.00

Combinatorial andComputationalGeometryEditorsJacob E. GoodmanCity College, City University of New YorkJanos PachCity College, City University of New York and NewYork UniversityEmo WelzlEidgenössische Technische Hochschule Zürich

During the past few decades, the gradualmerger of Discrete Geometry and thenewer discipline of ComputationalGeometry has provided enormous impetusto mathematicians and computerscientists interested in geometricproblems. This volume, which contains 32papers on a broad range of topics ofcurrent interest in the field, is anoutgrowth of that synergism. It includessurveys and research articles exploringgeometric arrangements, polytopes,packing, covering, discrete convexity,geometric algorithms and theircomplexity, and the combinatorialcomplexity of geometric objects,particularly in low dimension.Contributors:P. K. Agarwal, S. Har-Peled, K. Varadarajan, I.Barany, A. Barvinok, G. Blekherman, S. Basu, J. E.Goodman, A. Holmsen, R. Pollack, M.-F. Roy, M.M. Bayer, A. Bezdek, K. Bezdek, T. Bisztriczky, K.Boroczky, A. Bobenko, P. Brass, G. Calinescu, A.Dumitrescu, E. D. Demaine, J. O’Rourke, M.Develin, F. Santos, B. Sturmfels, H. Edelsbrunner, P.Koehl, R. G. Ehrenborg, D. Eppstein, E. M.Feichtner, G. F. Toth, P. Gritzmann, T. Theobald, A.Heppes, W. Kuperberg, M. Joswig, H. Last, Y. Liu, J.Snoeyink, B. Mourrain, F. Rouillier, N. Nilakantan,J. Pach, R. Pinchasi, J. Rambau, I. Talata, C. D.Toth, G. Toth, P. Valtr, S. VempalaMathematical Sciences Research InstitutePublications2005/628 pp.84862-8/Hb/$80.00

Mathematics





Analysis andProbability

A First Course inMathematical AnalysisDavid Alexander BrannanThe Open University, Milton Keynes

Mathematical Analysis (often calledAdvanced Calculus) is generally found bystudents to be one of their hardestcourses in mathematics. This text uses theso-called sequential approach tocontinuity, differentiability and integrationto make the subject easier to understand.Topics that are generally glossed over inthe standard calculus courses are givencareful study here. For example, whatexactly is a ‘continuous’ function? Andhow exactly can one give a carefuldefinition of ‘integral’? This text is suitablefor self-study or use in parallel with astandard university course on the subject.Contents:Preface; 0. Introduction: Calculus and Analysis; 1.Numbers; 2. Sequences; 3. Series; 4. Continuity; 5.Limits and continuity; 6. Differentiation; 7.Integration; 8. Power series; Appendix 1. Sets,functions and proofs; Appendix 2. Standardderivatives and primitives; Appendix 3. The first1,000 decimal places of the square root of 2, eand pi; Appendix 4. Solutions to the problems;Index.2006/472 pp./211 line diagrams/1 table/207exercises/109 worked examples86439-9/Hb/$90.0068424-2/Pb/$50.00

Complex Analysis withMATHEMATICA®William T. ShawKing’s College London“William Shaw’s Complex Analysiswith Mathematica is a remarkableachievement. It masterfully combinesexcellent expositions of the beautiesand subtlety of complex analysis, andseveral of its applications to physicaltheory, with clear explanations of theflexibility and the power ofMathematica for computing and forgenerating marvellous graphicaldisplays.”Roger Penrose, University of Oxford

Contents:Preface; 1. Why you need complex numbers; 2.Complex algebra and geometry; 3. Cubics,quartics and visualization of complex roots; 4.Newton-Raphson iteration and complex fractals;5. A complex view of the real logistic map; 6. TheMandelbrot set; 7. Symmetric chaos in the

complex plane; 8. Complex functions; 9.Sequences, series and power series; 10. Complexdifferentiation; 11. Paths and complex integration;12. Cauchy’s theorem; 13. Cauchy’s integralformula and its remarkable consequences; 14.Laurent series, zeroes, singularities and residues;15. Residue calculus: integration, summation andthe augment principle; 16. Conformal mapping I:simple mappings and Mobius transforms; 17.Fourier transforms; 18. Laplace transforms; 19.Elementary applications to two-dimensionalphysics; 20. Numerical transform techniques; 21.Conformal mapping II: the Schwarz-Christoffeltransformation; 22. Tiling the Euclidean andhyperbolic planes; 23. Physics in three and fourdimensions I; 24. Physics in three and fourdimensions II; Index.2006/598 pp./57 line diagrams/375exercises/57 figures/79 color figures83626-3/Hb/$75.00

Random Graph DynamicsRick DurrettCornell University, Ithaca, New York

The theory of random graphs began in thelate 1950s in several papers by Erdos andRenyi. In the late 20th century, the notionof six degrees of separation, meaning thatany two people on the planet can beconnected by a short chain of people whoknow each other, inspired Strogatz andWatts to define the small world randomgraph in which each site is connected to kclose neighbors, but also has long rangeconnections. At about the same time, itwas observed in human social and sexualnetworks and on the internet that thenumber of neighbors of an individual orcomputer has a power law distribution.This inspired Barabasi and Albert to definethe preferential attachment model, whichhas these properties. These latter twopapers are led to an explosion ofresearch. While this literature isextensive, many of the papers are basedon simulations and nonrigorousarguments. The purpose of this book is touse a wide variety of mathematicalargument to obtain insights into theproperties of these graphs. A uniquefeature of this book is the interest in thedynamics of process taking place on thegraph in addition to their geometricproperties, like correctness and diameter.Contents:1. Overview; 2. Erdos-Renyi random graphs; 3.Fixed degree distributions; 4. Power laws; 5. Smallworlds; 6. Random walks; 7. CHKNS model.Cambridge Series in Statistical andProbabilistic Mathematics2006/240 pp.86656-1/Hb/$55.00

Lectures on theCombinatorics of FreeProbabilityAlexandru NicaUniversity of Waterloo, OntarioRoland SpeicherQueen’s University, Ontario

This book is the first to give a self-contained and comprehensiveintroduction to free probability theorywith a focus on the combinatorial aspects.The volume is designed so that it can beused as a text for an introductory courseon an advanced undergraduate orbeginning graduate level, and is also well-suited for the individual study of freeprobability.Contents:Part I. Basic Concepts: 1. Non-commutativeprobability spaces and distributions; 2. A casestudy of non-normal distribution; 3. C*-probabilityspaces; 4. Non-commutative joint distributions; 5.Definition and basic properties of freeindependence; 6. Free product of *-probabilityspaces; 7. Free product of C*-probability spaces;Part II. Cumulants: 8. Motivation: free central limittheorem; 9. Basic combinatorics I: non-crossingpartitions; 10. Basic Combinatorics II: Möbiusinversion; 11. Free cumulants: definition and basicproperties; 12. Sums of free random variables; 13.More about limit theorems and infinitely divisibledistributions; 14. Products of free randomvariables; 15. R-diagonal elements; Part III.Transforms and Models: 16. The R-transform; 17.The operation of boxed convolution; 18. More onthe 1-dimensional boxed convolution; 19. The freecommutator; 20. R-cyclic matrices; 21. The fullFock space model for the R-transform; 22.Gaussian Random Matrices; 23. Unitary RandomMatrices; Notes and Comments; Bibliography;Index.London Mathematical Society LectureNote Series2006/436 pp.85852-6/Pb/$80.00

Markov Processes,Gaussian Processes, andLocal TimesMichael B. MarcusJay RosenCity University of New York

Written by two foremost researchers inthe field, this book studies the local timesof Markov processes by employingisomorphism theorems that relate them tocertain associated Gaussian processes. Itbuilds to this material through self-contained but harmonized ‘mini-courses’on the relevant ingredients, which assumeonly knowledge of measure-theoreticprobability. The streamlined selection oftopics creates an easy entrance for

Mathematics

12Call 1-800-872-7423 • Fax 845-353-4141

students and for experts in related fields.This original, readable book will appeal toboth researchers and advanced graduatestudents.Contents:1. Introduction; 2. Brownian motion and Ray-Knight theorems; 3. Markov processes and localtimes; 4. Constructing Markov processes; 5. Basicproperties of Gaussian processes; 6. Continuityand boundedness; 7. Moduli of continuity; 8.Isomorphism theorems; 9. Sample path propertiesof local times; 10. p-Variation; 11. Most visitedsite; 12. Local times of diffusions; 13. AssociatedGaussian processes; Appendices; References;Index.Cambridge Studies in AdvancedMathematics2006/630 pp.86300-7/Hb/$90.00

Random Fragmentationand CoagulationProcessesJean BertoinUniversité de Paris VI (Pierre et Marie Curie)

Fragmentation and coagulation are twonatural phenomena that can be observedin many sciences and at a great variety ofscales - from, for example, DNAfragmentation to formation of planets byaccretion. This book is the firstcomprehensive theoretical account ofmathematical models for situations whereeither phenomenon occurs randomly andrepeatedly as time passes. Written forreaders with a solid background inprobability, its careful exposition allowsgraduate students, as well as workingmathematicians, to approach the materialwith confidence.Contents:Introduction; 1. Self-similar fragmentation chains;2. Random partitions; 3. Exchangeablefragmentations; 4. Exchangeable coalescents; 5.Asymptotic regimes in stochastic coalescence;References; List of symbols; Index.Cambridge Studies in AdvancedMathematics2006/288 pp.86728-2/Hb/$65.00

Forthcoming…

Quantum StochasticProcesses andNoncommutativeGeometryKalyan B. SinhaIndian Statistical Institute, New DelhiDebashish GoswamiThe classical theory of stochasticprocesses has important applicationsarising from the need to describeirreversible evolutions in classicalmechanics; analogously, quantumstochastic processes can be used to modelthe dynamics of irreversible quantumsystems. This book is the first to describehow these two mathematicalconstructions are related. It will be ofinterest to graduate students andresearchers in functional analysis,probability, and mathematical physics.Contents:1. Introduction; 2. Preliminaries; 3. Quantumdynamical semigroups; 4. Hilbert modules; 5.Quantum stochastic calculus with boundedcoefficients; 6. Dilation of quantum dynamicalsemigroups with bounded generator; 7. Quantumstochastic calculus with unbounded coefficients;8. Dilation of quantum dynamical semigroupswith unbounded generator; 9. Noncommutativegeometry and quantum stochastic processes;Bibliography; Index.Cambridge Tracts in Mathematics2007/304 pp.83450-3/Hb/$90.00*

Geometric Tomography2nd EditionRichard J. GardnerWestern Washington University

This comprehensive study provides arigorous treatment of geometrictomography. Although primarily meant forresearchers and graduate students ingeometry and tomography, briefintroductions, suitable for advancedundergraduates, are provided to the basicconcepts.Contents:0. Background material; 1. Parallel X-rays ofplanar convex bodies; 2. Parallel X-rays in ndimensions; 3. Projections and projectionfunctions; 4. Projection bodies and volumeinequalities; 5. Point X-rays; 6. Chord functionsand equichordal problems; 7. Sections, sectionfunctions, and point X-rays; 8. Intersection bodiesand volume inequalities; 9. Estimates fromprojection and section functions; A. Mixedvolumes and dual mixed volumes; B. Inequalities;C. Integral transforms.Encyclopedia of Mathematics and itsApplications2006/514 pp.86680-4/Hb/$140.0068493-5/Pb/$70.00

Analytic TomographyAndrew MarkoeRider University, New Jersey

This book is a comprehensive study of theRadon transform, which operates on afunction by integrating it overhyperplanes. The book begins with anelementary and graphical introduction tothe Radon transform, tomography and CTscanners, followed by a rigorousdevelopment of the basic properties ofthe Radon transform. Next the authorintroduces Grassmann manifolds in thestudy of the k-plane transform (a versionof the Radon transform) which integratesover k-dimensional planes rather thanhyperplanes. The remaining chapters areconcerned with more advanced topics.Encyclopedia of Mathematics and itsApplications2006/408 pp.79347-5/Hb/$100.00

Classical and QuantumOrthogonal Polynomialsin One VariableMourad E. H. IsmailUniversity of South Florida

This is the first modern treatment oforthogonal polynomials from theviewpoint of special functions. Thecoverage is encyclopaedic, includingclassical topics such as Jacobi, Hermite,Laguerre, Hahn, Charlier and Meixnerpolynomials as well as those discoveredover the last 50 yearsContents:1. Preliminaries; 2. Orthogonal polynomials; 3.Differential equations; 4. Jacobi polynomials; 5.Some inverse problems; 6. Discrete orthogonalpolynomials; 7. Zeros and inequalities; 8.Polynomials orthogonal on the unit circle; 9.Linearization, connections and integralrepresentations; 10. The Sheffer classification; 11.q-series preliminaries; 12. q-summation theorems;13. Some q-orthogonal polynomials; 14.Exponential and q-Bessel functions; 15. TheAskey-Wilson polynomials; 16. The Askey-Wilsonoperators; 17. q-Hermite polynomials on the unitcircle; 18. Discrete q-orthogonal polynomials; 19.Fractional and q-fractional calculus; 20.Polynomial solutions to functional equations; 21.Some indeterminate moment problems; 22. TheRiemann-Hilbert problem; 23. Multiple orthogonalpolynomials; 24. Research problems; Bibliography;Index.Encyclopedia of Mathematics and itsApplications2005/724 pp./1 line diagram/80 exercises78201-5/Hb/$140.00

Mathematics





Measures, Integrals andMartingalesRené L. SchillingPhilipps-Universität Marburg, Germany“I believe this to be a great book forself-study as well as for course use.The book is ideal for futureprobabilists as well as statisticians,and can serve as a good introductionfor mathematicians interested inmeasure theory.”MAA Reviews

This is a concise and elementaryintroduction to contemporary measureand integration theory as it is needed inmany parts of analysis and probabilitytheory. Undergraduate calculus and anintroductory course on rigorous analysis inR are the only essential prerequisites,making the text suitable for both lecturecourses and for self-study.Contents:Prelude; Dependence chart; Prologue; 1. Thepleasures of counting; 2. o-algebras; 3. Measures;4. Uniqueness of measures; 5. Existence ofmeasures; 6. Measurable mappings; 7.Measurable functions; 8. Integration of positivefunctions; 9. Integrals of measurable functionsand null sets; 10. Convergence theorems andtheir applications; 11. The function spaces; 12.Product measures and Fubini’s theorem; 13.Integrals with respect to image measures; 14.Integrals of images and Jacobi’s transformationrule; 15. Uniform integrability and Vitali’sconvergence theorem; 16. Martingales; 17.Martingale convergence theorems; 18. The Radon-Nikodym theorem and other applications ofmartingales; 19. Inner product spaces; 20. Hilbertspace; 21. Conditional expectations in L2; 22.Conditional expectations in Lp; 23. Orthonormalsystems and their convergence behaviour;Appendices; Further reading; Bibliography;Notation index; Name and subject index.2006/394 pp./15 line diagrams/5 graphs/500exercises/15 figures85015-0/Hb/$90.0061525-9/Pb/$50.00

The Lévy LaplacianM. N. FellerThe Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory hasbecome well-developed in recent years,and this book is the first systematictreatment of the Lévy-Laplace operator.This book will be valued by those workingin functional analysis, partial differentialequations, and probability theory.Contents:Introduction; 1. The Lévy Laplacian; 2. Lévy-Laplace operators; 3. Symmetric Lévy-Laplaceoperators; 4. Harmonic functions of infinitelymany variables; 5. Linear elliptic and parabolicequations with Lévy Laplacians; 6. Quasilinearand nonlinear elliptic equation with LévyLaplacians; 7. Nonlinear parabolic equations withLévy Laplacians; 8. Appendix. Lévy-Dirichlet formsand associated Markov processes; Bibliography;Index.Cambridge Tracts in Mathematics2005/160 pp.84622-6/Hb/$70.00

Probability and RandomProcesses for Electricaland Computer EngineersJohn A. GubnerUniversity of Wisconsin, Madison

The theory of probability is a powerfultool that helps electrical and computerengineers to explain, model, analyze, anddesign the technology they develop. Thetext begins at the advancedundergraduate level, assuming only amodest knowledge of probability, andprogresses through more complex topicsmastered at graduate level.Contents:Preface; 1. Introduction to probability; 2.Introduction to discrete random variables; 3. Moreabout discrete random variables; 4. Continuousrandom variables; 5. Cumulative distributionfunctions and their applications; 6. Statistics; 7.Bivariate random variables; 8. Introduction torandom vectors; 9. Gaussian random vectors; 10.Introduction to random processes; 11. Advancedconcepts in random processes; 12. Introduction toMarkov chains; 13. Mean convergence andapplications; 14. Other modes of convergence; 15.Self similarity and long-range dependence;Bibliography; Index.2006/640 pp./801 exercises/140 figures/348worked examples86470-4/Hb/$80.00

Functional Analysis forProbability andStochastic ProcessesAn IntroductionAdam BobrowskiPolitechnika Lubelska, Poland

Designed for students of probability andstochastic processes, as well as forstudents of functional analysis, thisvolume presents some chosen parts offunctional analysis that can help clarifyprobability and stochastic processes.Numerous standard and non-standardexamples and exercises make the booksuitable as a course textbook or for self-study.Contents:1. Preliminaries, notations, conventions; 2. Basicnotations in functional analysis; 3. Conditionalexpectation; 4. Brownian motion and Hilbertspaces; 5. Dual spaces and convergence ofprobability measures; 6. The Gelfand transformand its applications; 7. Semigroups of operatorsand Lévy processes; 8. Markov processes andsemigroups of operators; 9. Appendixes;References; Index.2005/406 pp./250 exercises/200 workedexamples83166-0/Hb/$95.0053937-4/Pb/$50.00

Harmonic MeasureJohn B. GarnettUniversity of California, Los AngelesDonald E. MarshallUniversity of Washington“This is an important and well-writtenbook. It is an illuminating survey ofthe geometric theory of harmonicmeasure as it stands today, and is sureto become a respected textbook andstandard reference that willprofoundly influence the futuredevelopment of the field.”Mathematical Reviews

Contents:1. Jordan domains; 2. Finitely connected domains;3. Potential theory; 4. Extremal distance; 5.Applications and reverse inequalities; 6. Simplyconnected domains, part one; 7. Bloch functionsand quasicircles; 8. Simply connected domains,part two; 9. Infinitely connected domains; 10.Rectifiability and quadratic expressions;Appendices.New Mathematical Monographs2005/588 pp./126 line diagrams/1 table/190exercises47018-8/Hb/$110.00

Mathematics

14Call 1-800-872-7423 • Fax 845-353-4141




Large Deviations andMetastabilityEnzo OlivieriUniversitä degli Studi di Roma ‘Tor Vergata’Maria Eulália VaresCentro Brasileiro de Pesquisas Fisicas, Brasil“This impressive monograph providesa quite complete survey of the topicof metastability and will certainly be avery useful reference for all researchactivity in this field.”ISI Short Book Reviews

Contents:Preface; 1. Large deviations: basic results; 2. Smallrandom perturbations of dynamical systems: basicestimates of Freidlin and Wentzell; 3. Largedeviations and statistical mechanics; 4.Metastability I: general description, the Curie-Weiss model and contact processes; 5.Metastability II: the models of Freidlin andWentzell; 6. Reversible Markov chains in theFreidlin-Wentzell regime; 7. Metastable behaviourfor lattice spin models at low temperature;Bibliography; Index.Encyclopedia of Mathematics and itsApplications2005/528 pp./37 line diagrams59163-5/Hb/$150.00

MathematicalPhysics

Protecting InformationFrom Classical Error Correction toQuantum CryptographySusan LoeppWilliam K. WoottersWilliams College, Massachusetts“The authors have combined the two‘hot’ subjects of cryptography andcoding, looking at each with regard toboth classical and quantum models ofcomputing and communication. Theseexciting topics are unified through thesteady, consistent development ofalgebraic structures and techniques.Students who read this book will walkaway with a broad exposure to boththe theory and the concreteapplication of groups, finite fields, andvector spaces.”Ben Lotto, Vassar College

Contents:1. Cryptography: an overview; 2. Quantummechanics; 3. Quantum cryptography; 4. Anintroduction to error-correcting codes; 5. Quantumcryptography revisited; 6. Generalized Reed-Solomon codes; 7. Quantum computing;Appendix.2006/304 pp./14 tables/159 exercises82740-X/Hb/$80.0053476-3/Pb/$29.99

Forthcoming…

Quantum GroupsA Path to Current AlgebraRoss StreetMacquarie University, SydneyContents:Introduction; 1. Revision of basic structures; 2.Duality between geometry and algebra; 3. Thequantum general linear group; 4. Modules andtensor products; 5. Cauchy modules; 6. Algebras;7. Coalgebras and bialgebras; 8. Dual coalgebrasof algebras; 9. Hopf algebras; 10. Representationsof quantum groups; 11. Tensor categories; 12.Internal homs and duals; 13. Tensor functors andYang-Baxter operators; 14. A tortile Yang-Baxteroperator for each finite-dimensional vector space;15. Monoids in tensor categories; 16. Tannakaduality; 17. Adjoining an antipode to a bialgebra;18. The quantum general linear group again; 19.Solutions to exercises; References; Index.Australian Mathematical Society LectureSeries2007/145 pp.69524-4/Pb/$50.00*

Statistical Mechanics ofDisordered SystemsA Mathematical PerspectiveAnton BovierTechnische Universität Berlin and Weierstraß-Institut für Angewandte Analysis und Stochastik

Our mathematical understanding of thestatistical mechanics of disorderedsystems is going through a period ofstunning progress. This self-containedbook is a graduate-level introduction formathematicians and for physicistsinterested in the mathematicalfoundations of the field, and can be usedas a textbook for a two-semester courseon mathematical statistical mechanics.Contents:Preface; Part I. Statistical Mechanics: 1.Introduction; 2. Principles of statistical mechanics;3. Lattice gases and spin systems; 4. Gibbsianformalism; 5. Cluster expansions; Part II.Disordered Systems: Lattice Models: 6. Gibbsianformalism and metastates; 7. The random fieldIsing model; Part III: Disordered Systems: MeanField Models; 8. Disordered mean field models; 9.The random energy model; 10. Derrida’sgeneralised random energy models; 11. The SKmodels and the Parisi solution; 12. Hopfieldmodels; 13. The number partitioning problem;Bibliography; Index of notation; Index.Cambridge Series in Statistical andProbabilistic Mathematics2006/324 pp./30 figures84991-8/Hb/$80.00

Supersymmetry andString TheoryBeyond the Standard ModelMichael DineUniversity of California, Santa CruzContents:Part I. Effective Field Theory: The Standard Model,Supersymmetry, Unification: 1. Before theStandard Model; 2. The Standard Model; 3.Phenomenology of the Standard Model; 4. TheStandard Model as an effective field theory; 5.Anomalies. instantons and the Strong CPProblem; 6. Grand unification; 7. Magneticmonopoles and solitons; 8. Technicolor: a firstattempt to explain hierarchies; Part II.Supersymmetry: 9. Supersymmetry; 10. A first lookat supersymmetry breaking; 11. The minimalsupersymmetry Standard Model; 12.Supersymmetric grand unification; 13.Supersymmetric dynamics; 14. Dynamicalsupersymmetry breaking; 15. Theories with morethan four conserved supercharges; 16. Moresupersymmetric dynamics; 17. An introduction togeneral relativity; 18. Cosmology; 19. Astroparticlephysics and inflation; Part III. String Theory: 20.Introduction; 21. The Bosonic string; 22. Thesuperstring; 23. The heterotic string; 24. Effectiveactions on ten dimensions; 25. Compactificationof string theory; 26. Compactification of strings;27. Dynamics of strong theory at weak coupling;28. Beyond weak coupling: non-perturbativestring theory; 29. Large and warped extradimensions; 30. Coda: where are we headed?;Part IV. The Appendices; Index.2006/544 pp./57 line diagrams/1 half-tone/90exercises85841-0/Hb/$80.00

String Theory andM-TheoryA Modern IntroductionKatrin BeckerUniversity of UtahMelanie BeckerUniversity of Maryland, College ParkJohn SchwarzCalifornia Institute of TechnologyContents:1. Introduction; 2. The bosonic string; 3.Conformal field theory and string interactions; 4.Strings with world-sheet supersymmetry; 5.Strings with space-time supersymmetry; 6. T-duality and D-branes; 7. The heterotic string; 8.M-theory and string duality; 9. String geometry;10. Flux compactifications; 11. Black holes instring theory; 12. Gauge theory/string theorydualities; References; Index.2006/734 pp./55 line diagrams/20 half-tones/337 exercises/75 figures/122 workedexamples86069-5/Hb/$80.00

Mathematics


Differential Geometryand Lie Groups forPhysicistsMarián FeckoContents:Introduction; 1. The concept of a manifold; 2.Vector and tensor fields; 3. Mappings of tensorsinduced by mappings of manifolds; 4. Liederivative; 5. Exterior algebra; 6. Differentialcalculus of forms; 7. Integral calculus of forms; 8.Particular cases and applications of Stoke’sTheorem; 9. Poincaré Lemma and cohomologies;10. Lie Groups - basic facts; 11. Differentialgeometry of Lie Groups; 12. Representations ofLie Groups and Lie Algebras; 13. Actions of LieGroups and Lie Algebras on manifolds; 14.Hamiltonian mechanics and symplectic manifolds;15. Parallel transport and linear connection on M;16. Field theory and the language of forms; 17.Differential geometry on TM and T*M; 18.Hamiltonian and Lagrangian equations; 19. Linearconnection and the frame bundle; 20. Connectionon a principal G-bundle; 21. Gauge theories andconnections; 22. Spinor fields and Dirac operator;Appendices; Bibliography; Index.2006/714 pp./95 line diagrams/1100 exercises84507-6/Hb/$75.00

Chaotic DynamicsAn Introduction Based on ClassicalMechanicsTamás TélMárton GruizLoránd Eötvös University, BudapestContents:Introduction; Part I. The Phenomenon: ComplexMotion, Unusual Geometry: 1. Chaotic motions; 2.Fractal objects; Part II. Preparatory Concepts: 3.Regular motions; 4. Driven motions; Part III.Investigation of Chaotic Motion: 5. Chaos indissipative systems; 6. Transient chaos indissipative systems; 7. Chaos in conservativesystems; 8. Chaotic scattering; 9. Applications ofchaos; 10. Epilogue, outlook; Part IV.Miscellaneous: 11. Appendices; 12. Solutions toproblems; 13. Bibliography.2006/412 pp./280 line diagrams/24 half-tones/28 color plates/11 tables/150 exercises83912-2/Hb/$120.0054783-0/Pb/$60.00

Finite-Temperature FieldTheoryPrinciples and Applications2nd EditionJoseph I. KapustaUniversity of MinnesotaCharles GaleMcGill University, Montréal“...a wonderfully compact book, filledwith useful information and importantreferences.”Mathematical Reviews

Contents:1. Review of quantum statistical mechanics; 2.Functional integral representation of the partitionfunction; 3. Interactions and diagrammatictechniques; 4. Renormalisation; 5. Quantumelectrodynamics; 6. Linear response theory; 7.Spontaneous symmetry breaking and restoration;8. Quantum chromodynamics; 9. Resummationand hard thermal loops; 10. Lattice gauge theory;11. Dense nuclear matter; 12. Hot hadronicmatter; 13. Nucleation theory; 14. Heavy ioncollisions; 15. Weak interactions; 16. Astrophysicsand cosmology; Conclusion; Appendix.Cambridge Monographs on MathematicalPhysics2006/432 pp./52 line diagrams/3 tables/123exercises82082-0/Hb/$140.00

Functional IntegrationAction and SymmetriesPierre CartierInstitut des Hautes Études Scientifiques, FranceCecile DeWitt-MoretteUniversity of Texas, AustinContents:Part I. The Physical and MathematicalEnvironment: 1. The physical and mathematicalenvironment; Part II. Quantum Mechanics: 2. Firstlesson: Gaussian integrals; 3. Selected examples;4. Semiclassical expansion - WKB; 5. Semiclassicalexpansion - beyond WKB; 6. Quantum dynamics:path integrals and operator formalism; Part III.Methods from Differential Geometry: 7.Symmetries; 8. Homotopy; 9. Grassmann analysis:basics; 10. Grassmann analysis: applications; 11.Volume elements, divergences, gradients; Part IV.Non-Gaussian Applications: 12. Poisson processesin physics; 13. A mathematical theory of Poissonprocesses; 14. First exit time - energy problems;Part V. Problems in Quantum Field Theory: 15.Renormalization 1: an introduction; 16.Renormalization 2: scaling; 17. Renormalization 3:combinatorics; 18. Volume elements in quantumfield theory; Part VI. Projects: 19. Projects;Appendices; Bibliography; Index.Cambridge Monographs on MathematicalPhysics2006/424 pp./42 line diagrams/7 half-tones86696-0/Hb/$140.00

Moonshine beyond theMonsterThe Bridge Connecting Algebra,Modular Forms and PhysicsTerry GannonUniversity of AlbertaContents:Introduction: glimpses of the theory beneathMonstrous moonshine; 1. Classical algebra; 2.Modular stuff; 3. Gold and brass: Affine algebrasand generalisations; 4. Conformal field theory: Thephysics of Moonshine; 5. Vertex operator algebras;6. Modular group representations throughout therealm; 7. Monstrous Moonshine; Epilogue;References.Cambridge Monographs on MathematicalPhysics2006/492 pp./82 line diagrams/9 tables/187exercises83531-3/Hb/$130.00

Series ExpansionMethods for StronglyInteracting LatticeModelsJaan OitmaaChris HamerWeihong ZhengContents:1. Introduction; 2. High and low temperatureexpansions for the Ising Model; 3. Models withcontinuous symmetry and the free graphexpansion; 4. Quantum spin models at T = 0; 5.Quantum antiferromagnets at T = 0; 6.Correlators, dynamical structure factors andmultiparticle excitations; 7. Quantum spin modelsat finite temperature; 8. Electronic models; 9.Review of lattice gauge theory; 10. Seriesexpansions for lattice gauge models; 11.Additional topics; Appendices; References; Index.2006/338 pp./98 line diagrams/67 tables84242-5/Hb/$130.00

The Ideas of ParticlePhysicsAn Introduction for Scientists3rd EditionG. D. CoughlanJ. E. DoddB. M. GripaiosContents:Introduction; 1. Basic particle physics; 2. Stronginteraction physics; 3. Weak interaction physics I;4. Weak interaction physics II; 5. Gauge theory ofthe weak interactions; 6. Deep inelastic scattering;7. Quantum chromodynamics - the theory ofquarks; 8. Electron-positron collisions; 9. TheStandard Model and beyond; Appendices.2006/266 pp.67775-0/Pb/$50.00

Mathematics

16Call 1-800-872-7423 • Fax 845-353-4141




The Three-Body ProblemMauri ValtonenHannu KarttunenUniversity of Turku, Finland

How do three celestial bodies move undertheir mutual gravitational attraction? Thisproblem has been studied by IsaacNewton and leading mathematicians overthe last two centuries. Poincare’sconclusion, that the problem representsan example of chaos in nature, opens thenew possibility of using a statisticalapproach. For the first time this bookpresents these methods in a systematicway, surveying statistical as well as moretraditional methods. This book is suitablefor students of celestial mechanics atadvanced undergraduate and graduatelevel.Contents:1. Astrophysics and three-body problem; 2.Newtonian mechanics; 3. Two-body problem; 4.Hamiltonian mechanics; 5. The planar restrictedcircular three body problem and other specialcases; 6. Three-body scattering; 7. Escape in thegeneral three body problem; 8. Scattering andcapture in the general problem; 9. Perturbationsin hierarchical systems; 10. Perurbations in strongthree-body encounters; 11. Some astrophysicalproblems.2006/356 pp./85 line diagrams/96 exercises/85figures85224-2/Hb/$80.00

Mathematical Methodsfor Physics andEngineeringA Comprehensive Guide3rd EditionK. F. RileyM. P. HobsonUniversity of CambridgeS. J. BenceThe third edition of this highly acclaimedundergraduate textbook is suitable forteaching all the mathematics for anundergraduate course in any of thephysical sciences. As well as luciddescriptions of all the topics and manyworked examples, it contains over 800exercises.Contents:Prefaces; 1. Preliminary algebra; 2. Preliminarycalculus; 3. Complex numbers and hyperbolicfunctions; 4. Series and limits; 5. Partialdifferentiation; 6. Multiple integrals; 7. Vectoralgebra; 8. Matrices and vector spaces; 9. Normalmodes; 10. Vector calculus; 11. Line, surface andvolume integrals; 12. Fourier series; 13. Integraltransforms; 14. First-order ordinary differentialequations; 15. Higher-order ordinary differentialequations; 16. Series solutions of ordinarydifferential equations; 17. Eigenfunction methods

for differential equations; 18. Special functions;19. Quantum operators; 20. Partial differentialequations: general and particular; 21. Partialdifferential equations: separation of variables; 22.Calculus of variations; 23. Integral equations; 24.Complex variables; 25. Application of complexvariables; 26. Tensors; 27. Numerical methods; 28.Group theory; 29. Representation theory; 30.Probability; 31. Statistics; Index.2006/1362 pp./235 line diagrams/820exercises86153-5/Hb/$160.0067971-0/Pb/$80.00

General RelativityAn Introduction for PhysicistsM. P. HobsonG. P. EfstathiouA. N. LasenbyUniversity of CambridgeContents:1. The spacetime of special relativity; 2. Manifoldsand coordinates; 3. Vector calculus on manifolds;4. Tensor calculus on manifolds; 5. Specialrelativity revisited; 6. Electromagnetism; 7. Theequivalence principle and spacetime curvature; 8.The gravitational field equations; 9. TheSchwarzschild geometry; 10. Experimental tests ofgeneral relativity; 11. Schwarzschild black holes;12. Further spherically-symmetric geometries; 13.The Kerr geometry; 14. The Friedmann-Robertson-Walker geometry; 15. Cosmological models; 16.Inflationary cosmology; 17. Linearised generalrelativity; 18. Gravitational waves; 19. Avariational approach to general relativity.2006/590 pp./85 line diagrams/9 half-tones/8tables/368 exercises82951-8/Hb/$70.00

Now in Paperback!

Harmonic SuperspaceA. S. GalperinFannie Mae, Washington DCE. A. IvanovJoint Institute for Nuclear Research, Dubna, RussiaV. I. OgievetskyE. S. SokatchevLaboratoire d’Annecy-le-Vieux de PhysiqueThéorique, France“[T]he first discussion, outside of theconfines of the research literature, topresent pedagogically the intricaciesof its topic. This is a unique book...areadable narrative that clearlyexplains the applications andachievements of the approach...Theprose is clear, with a minimum ofjargon...it succeeds in its goals.”Physics Today

Contents:Preface; 1. Introductory overview; 2. Elements ofsupersymmetry; 3. Superspace; 4. Harmonicanalysis; 5. N=2 matter with infinite sets ofauxiliary fields; 6. N=2 matter multiplets with afinite number of auxiliary fields: N=2 dualitytransformations; 7. Supersymmetric Yang-Millstheories; 8. Harmonic supergraphs; 9. Conformal

invariance in N=2 harmonic superspace; 10.Supergravity; 11. Hyper-Kähler geometry inharmonic superspace; 12. N=3 supersymmetricYang-Mills theory; 13. Conclusions; Appendices 1-5. Notations, conventions and useful formulae;Index.Cambridge Monographs on MathematicalPhysics2006/320 pp./20 line diagrams/3 tables80164-8/Hb/$120.0002042-5/Pb/$43.00

MathematicalBiology

Bayesian Inference forGene Expression andProteomicsEditorsKim-Anh DoPeter MüllerMarina VannucciThis book discusses the development andapplication of Bayesian methods in theanalysis of high-throughput bioinformaticsdata, from medical research andmolecular and structural biology. TheBayesian approach has the advantagethat evidence can be easily and flexiblyincorporated into statistical models. Abasic overview of the biological andtechnical principles behind multi-platformhigh-throughput experimentation isfollowed by expert reviews of Bayesianmethodology, tools, and software forsingle group inference, groupcomparisons, classification and clustering,motif discovery and regulatory networks,and Bayesian networks and geneinteractions.Contributors:K. Baggerly, K. Coombes, J. S. Morris, M. Newton,P. Wang, C. Kendziorski, A.-M. K. Hein, A. Lewin, S.Richardson; M. A. van de Wiel, M. Holden, I. K.Glad, H. Lyng, A. Frigessi, M. Tadesse, M.Vannucci, N. Sha, S. Kim, V. Baladandayuthapani,C. C. Holmes, B. K. Mallick, R. J. Carroll, E. Garrett-Mayer, R. Scharpf, J. Lucas, C. Carvalho, Q. Wang,A. Bild, J. Nevins, M. West, C. Zhou, J. Wakefield,L. L. Breeden, D. Dahl, M. Chen, M. Guindani, K.-A. Do, P. Müller, P. J. Brown, M. Clyde, L. House, R.Wolpert, M. Gupta, J. S. Liu, D. W. Kwon, M.Swartz, N. Sun, H. Zhao, A. V. Kossenkov, G.Bidaut, M. Ochs, B. Broom, D. Subramanian, A. J.Hartemink, C. Robert, J. Rousseau2006/456 pp./22 tables86092-X/Hb/$75.00

Mathematics


Introduction toComputationalGenomicsA Case Studies ApproachNello CristianiniUniversity of BristolMatthew W. HahnIndiana University, Bloomington

Where did SARS come from? Have weinherited genes from Neanderthals? Howdo plants use their internal clock? Thegenomic revolution in biology enables usto answer such questions. But therevolution would have been impossiblewithout the support of powerfulcomputational and statistical methodsthat enable us to exploit genomic data.Many universities are introducing coursesto train the next generation ofbioinformaticians: biologists fluent inmathematics and computer science, anddata analysts familiar with biology. Thisreadable and entertaining book, based onsuccessful courses, provides a roadmap tonavigate entry to this field. It guides thereader through key achievements ofbioinformatics, using a hands-onapproach.Contents:Prologue (In praise of cells); 1. The first look at agenome (sequence statistics); 2. All thesequence’s men (gene finding); 3. All in the family(sequence Alignment); 4. The boulevard of brokengenes (hidden Markov models); 5. AreNeanderthals among us? (variation within andbetween species); 6. Fighting HIV (naturalselection at the molecular level); 7. SARS: a post-genomic epidemic (phylogenetic analysis); 8.Welcome to the hotel Chlamydia (whole genomecomparisons); 9. The genomics of wine-making(Analysis of gene expression); 10. A bed-timestory (identification of regulatory sequences); A.The appendix.2006/220 pp./48 line diagrams/3 half-tones/12tables/32 exercises/6 color figures/30 workedexamples85603-5/Hb/$120.0067191-4/Pb/$35.00

Essential BioinformaticsJin XiongTexas A & M University

Essential Bioinformatics is a concise yetcomprehensive textbook of bioinformatics,which provides a broad introduction tothe entire field.Contents:Preface; Part I. Introduction and BiologicalDatabases: 1. Introduction; 2. Introduction tobiological databases; Part II. Sequence Alignment:3. Pairwise sequence alignment; 4. Databasesimilarity search; 5. Multiple sequence alignment;6. Profiles and hidden Markov models; 7. Proteinmotifs and patterns; Part III. Gene and PromoterPrediction: 8. Gene prediction; 9. Promoter andregulatory element prediction; Part IV. MolecularPhylogenetics: 10. Phylogenetics basics; 11.Phylogenetic tree construction methods andprograms; Part V. Protein Structure Basics: 13.Protein structure visualization, comparison andclassification; 14. Protein secondary structureprediction; 15. Protein tertiary structureprediction; 16. RNA structure prediction; Part VI.Genomics and Proteomics: 17. Genome mapping,assembly and comparison; 18. Functionalgenomics; 19. Proteomics; Practical exercises;Glossary.2006/352 pp./9 tables84098-8/Hb/$110.0060082-0/Pb/$55.00

Problems and Solutionsin Biological SequenceAnalysisMark BorodovskySvetlana EkishevaGeorgia Institute of Technology

This book is the first of its kind to providea large collection of bioinformaticsproblems with accompanying solutions.Notably, the problem set includes all ofthe problems offered in BiologicalSequence Analysis (BSA), by Durbin etal., widely adopted as a required text forbioinformatics courses at leadinguniversities worldwide.Contents:Preface; 1. Introduction; 2. Pairwise alignment; 3.Markov chains and hidden Markov models; 4.Pairwise alignment using HMMs; 5. Profile HMMsfor sequence families; 6. Multiple sequencealignment methods; 7. Building phylogenetictrees; 8. Probabilistic approaches to phylogeny; 9.Transformational grammars; 10. RNA structureanalysis; 11. Background on probability.2006/366 pp./27 line diagrams/27 tables/172exercises/172 worked examples84754-0/Hb/$85.0061230-6/Pb/$39.99

Systems BiologyProperties of ReconstructedNetworksBernhard Ø. PalssonUniversity of California, San Diego

Genome sequences are now available thatenable us to determine the biologicalcomponents that make up a cell or anorganism. The new discipline of systemsbiology examines how these componentsinteract and form networks, and how thenetworks generate whole cell functionscorresponding to observable phenotypes.This textbook describes how to modelnetworks, determine their properties, andrelate these to phenotypic functions.Contents:Preface; 1. Introduction; 2. Basic concepts in systemsbiology; Part I. Reconstruction of BiochemicalNetworks: 3. Metabolic networks; 4. Regulatorynetworks; 5. Signalling networks; Part II.Mathematical Representation of ReconstructedNetworks: 6. Basic features of S; 7. Topologicalproperties; 8. Fundamental subspaces; 9. Null spaceof S; 10. The left null space of S; 11. The row andcolumn spaces of S; Part III. Capabilities ofReconstructed Networks: 12. Dual causality; 13.Properties of solution spaces; 14. Sampling propertiesof solution spaces; 15. Finding functional states; 16.Parametric sensitivity; 17. Epilogue; Appendix A.Nomenclature and abbreviations; Appendix B. E. colicore metabolic network; Bibliography; Index.2006/334 pp.85903-4/Hb/$75.00

DNA, Words and ModelsStatistics of Exceptional WordsS. RobinF. RodolpheS. SchbathInstitut National de la Recherche Agronomique,France

An important problem in computationalbiology is identifying short DNAsequences (mathematically, ‘words’)associated to a biological function. Oneapproach consists in determining whethera particular word is simply random or is ofstatistical significance, for example,because of its frequency or location. Thisbook introduces the mathematical andstatistical ideas used in solving this so-called exceptional word problem.Contents:Introduction; 1. Simple models for biologicalsequences; 2. Introduction to Markov chainmodels; 3. Taking heterogeneities into account; 4.Statistical properties of word occurrences; 5.Words with unexpected frequencies; 6. Wordswith unexpected locations.2005/158 pp./21 line diagrams/7 half-tones/14tables/28 figures/50 worked examples84729-X/Hb/$55.00

Mathematics

18Call 1-800-872-7423 • Fax 845-353-4141




Algebraic Statistics forComputational BiologyEditorsL. PachterB. SturmfelsUniversity of California, BerkeleyContents and Contributors:Preface; Part I. Introduction to the Four Themes: 1.Statistics L. Pachter and B. Sturmfels; 2.Computation L. Pachter and B. Sturmfels; 3.Algebra L. Pachter and B. Sturmfels; 4. Biology L.Pachter and B. Sturmfels; Part II. Studies on theFour Themes: 5. Parametric inference R. Mihaescu;6. Polytope propagation on graphs M. Joswig; 7.Parametric sequence alignment C. Dewey and K.Woods; 8. Bounds for optimal sequencealignment S. Elizalde; 9. Inference functions S.Elizalde; 10. Geometry of Markov chains E. Kuo;11. Equations defining hidden Markov models N.Bray and J. Morton; 12. The EM algorithm forhidden Markov models I. B. Hallgrímsdóttir, A.Milowski and J. Yu; 13. Homology mapping withMarkov random fields A. Caspi; 14. Mutagenetictree models N. Beerenwinkel and M. Drton; 15.Catalog of small trees M. Casanellas, L. Garciaand S. Sullivant; 16. The strand symmetric modelM. Casanellas and S. Sullivant; 17. Extendingstatistical models from trees to splits graphs D.Bryant; 18. Small trees and generalized neighbor-joining M. Contois and D. Levy; 19. Treeconstruction using Singular Value DecompositionN. Eriksson; 20. Applications of interval methodsto phylogenetics R. Sainudiin and R. Yoshida; 21.Analysis of point mutations in vertebrate genomesJ. Al-Aidroos and S. Snir; 22. Ultra-conservedelements in vertebrate genomes M. Drton, N.Eriksson and G. Leung; Index.2005/432 pp./100 line diagrams/5 tables/3color figures85700-7/Hb/$60.00

Branching ProcessesVariation, Growth, and Extinction ofPopulationsPatsy HaccouRijksuniversiteit Leiden, The NetherlandsPeter JagersChalmers University of Technology, GothenbergVladimir A. VatutinSteklov Institute of Mathematics, Moscow“Biologists should find this book to beof interest because of its forcefularguments for insights to be gainedby expressing biological theories inmathematical terms. It should also beattractive to mathematicians becauseof the numerous biological examplesthat can lead to interestingmathematics.”The Quarterly Review of Biology

Contents:Preface; Notations; 1. Generalities; 2. Discrete-time branching processes; 3. Branching incontinuous time; 4. Large populations; 5.Extinction; 6. Development of populations; 7.Specific models; Appendix; References.

Contributors:P. Haccou, P. Jagers, V. A. Vatutin, M.Alexandersson, G. Alsmeyer, A. D. Barbour, M.Durinx, M. Gyllenburg, G. Högnäs, V. A. A. Jansen,F. Klebaner, M. Kimmel, T. G. Kurtz, J. A. J. Metz, P.Olofsson, S. Sagitov, N. Stollenwerk, S. TavaréCambridge Studies in Adaptive Dynamics2005/330 pp./55 line diagrams83220-9/Hb/$100.00

Statistics

Principles of StatisticalInferenceD. R. CoxNuffield College, Oxford

In this definitive book, D. R. Cox gives acomprehensive and balanced appraisal ofstatistical inference. He develops the keyconcepts, describing and comparing themain ideas and controversies overfoundational issues that have been keenlyargued for more than two hundred years.Continuing a sixty-year career of majorcontributions to statistical thought, noone is better placed to give this much-needed account of the field. An appendixgives a more personal assessment of themerits of different ideas. The book will bevalued by every user or student ofstatistics who is serious aboutunderstanding the uncertainty inherent inconclusions from statistical analyses.Contents:Preface; 1. Preliminaries; 2. Some concepts andsimple applications; 3. Significance tests; 4. Morecomplicated situations; 5. Some interpretationalissues; 6. Asymptotic theory; 7. Further aspects ofmaximum likelihood; 8. Additional objectives; 9.Randomization-based analysis; Appendix A. Abrief history; Appendix B. A personal view;References; Author index; Index.2006/236 pp./5 figures86673-1/Hb/$80.0068567-2/Pb/$34.99

The CambridgeDictionary of Statistics3rd EditionB. S. EverittKing’s College London

If you use statistics and need easy accessto simple, reliable definitions andexplanations of modern statisticalconcepts, then look no further than thisdictionary. Over 3600 terms are defined,covering medical, survey, theoretical, andapplied statistics, including computationalaspects. Entries are provided for standardand specialized statistical software. Inaddition, short biographies of over 100important statisticians are given.Definitions provide enough mathematicaldetail to clarify concepts and givestandard formulae when these arehelpful. The majority of definitions thengive a reference to a book or articlewhere the user can seek further or morespecialized information, and many areaccompanied by graphical material to aidunderstanding.2006/442 pp./134 figures86039-3/Hb/$90.0069027-7/Pb/$40.00

Data Analysis andGraphics Using RAn Example-based Approach2nd EditionJohn MaindonaldAustralian National University, CanberraJohn BraunUniversity of Western OntarioPraise for the first edition:“This book does an excellent job ofdescribing the basics of a variety ofstatistical tools, both classical andmodern, through examples from awide variety of disciplines...the book’swriting style is very readable, withclear explanations and preciseintroductions of all topics andterminology...The packaging of thematerial with the R language isnatural, and the extensive web pageof resources complements the book’susefulness for a road audience ofstatisticians and practitioners.”Biometrics

Assuming only basic statisticalknowledge, the book is ideal for researchscientists, final-year undergraduate orgraduate level students of appliedstatistics, and practicing statisticians. It is

Mathematics


both for learning and for reference. Thisrevised edition reflects changes in R since2003 and has new material on survivalanalysis, random coefficient models, andthe handling of high-dimensional data.Contents:Preface; 1. A brief introduction to R; 2. Styles ofdata analysis; 3. Statistical models; 4. Anintroduction to formal inference; 5. Regressionwith a single predictor; 6. Multiple linearregression; 7. Exploiting the linear modelframework; 8. Generalized linear models andsurvival analysis; 9. Time series models; 10. Multi-level models and repeated measures; 11. Tree-based classification and regression; 12.Multivariate data exploration and discrimination;13. Regression on principal component ordiscriminant scores; 14. The R system - additionaltopics; Epilogue - models; References; Index of Rsymbols and functions; Index of terms; Index ofnames.Cambridge Series in Statistical andProbabilistic Mathematics2006/528 pp./12 color plates/50 tables/150exercises/150 figures86116-0/Hb/$80.00

The Coordinate-FreeApproach to LinearModelsMichael J. WichuraUniversity of Chicago

This book is about the coordinate-free, orgeometric, approach to the theory oflinear models; more precisely, Model IANOVA and linear regression models withnonrandom predictors in a finite-dimensional setting. This approach ismore insightful, more elegant, moredirect, and simpler than the morecommon matrix approach to linearregression, analysis of variance, andanalysis of covariance models in statistics.The book discusses the intuition behindand optimal properties of various methodsof estimating and testing hypothesesabout unknown parameters in themodels.Contents:1. Introduction; 2. Topics in linear algebra; 3.Random vectors; 4. Gauss-Markov estimation; 5.Normal theory: estimation; 6. Normal theory:testing; 7. Analysis of covariance; 8. Missingobservations.Cambridge Series in Statistical andProbabilistic Mathematics2006/216 pp./7 tables86842-4/Hb/$50.00

Forthcoming…

SaddlepointApproximations withApplicationsRonald W. ButlerColorado State University

Modern statistical methods use complex,sophisticated models that can lead tointractable computations. Saddlepointapproximations can be the answer.Written from the user’s point of view, thisbook explains in clear language how suchapproximate probability computations aremade, taking readers from the verybeginnings to current applications. Dataexamples from real applicationsdemonstrate the practical value of themethods. Ideal for graduate students andresearchers in statistics, biostatistics,electrical engineering, econometrics, andapplied mathematics, this is both anentry-level text and a valuable reference.Contents:Preface; 1. Fundamental approximations; 2.Properties and derivatives; 3. Multivariatedensities; 4. Conditional densities and distributionfunctions; 5. Exponential families and tilteddistributions; 6. Further exponential familyexamples and theory; 7. Probability computationwith p*; 8. Probabilities with r*-typeapproximations; 9. Nuisance parameters; 10.Sequential saddlepoint applications; 11.Applications to multivariate testing; 12. Ratiosand roots of estimating equations; 13. Firstpassage and time to event distributions; 14.Bootstrapping in the transform domain; 15.Bayesian applications; 16. Non-normal bases;References; Index.Cambridge Series in Statistical andProbabilistic Mathematics2007/700 pp./130 line diagrams/1 half-tone/120 tables/283 exercises/76 workedexamples87250-2/Hb/$80.00*

Now in Paperback!

Wavelet Methods forTime Series AnalysisDonald B. PercivalUniversity of WashingtonAndrew T. WaldenImperial College of Science, Technology andMedicine, London“The authors...provide considerablebackground material, tell their storyfrom scratch, proceed at a carefulpace...and work out detailedapplications...Recommended”Choice

Contents:1. Introduction to wavelets; 2. Review of Fouriertheory and filters; 3. Orthonormal transforms oftime series; 4. The discrete wavelet transform; 5.The maximal overlap discrete wavelet transform;6. The discrete wavelet packet transform; 7.

Random variables and stochastic processes; 8. Thewavelet variance; 9. Analysis and synthesis of longmemory processes; 10. Wavelet-based signalestimation; 11. Wavelet analysis of finite energysignals; Appendix. Answers to embeddedexercises; References; Author index; Subject index.Cambridge Series in Statistical andProbabilistic Mathematics2000/620 pp./24 tables/119 exercises68508-7/Pb/$50.00

Elements of DistributionTheoryThomas A. SeveriniNorthwestern University, Illinois

This detailed introduction to distributiontheory is designed as a text for theprobability portion of the first yearstatistical theory sequence for Master’sand PhD students in statistics,biostatistics, and econometrics.Contents:1. Properties of probability distributions; 2.Conditional distributions and expectation; 3.Characteristic functions; 4. Moments andcumulants; 5. Parametric families of distributions;6. Stochastic processes; 7. Distribution theory forfunctions of random variables; 8. Normaldistribution theory; 9. Approximation of integrals;10. Orthogonal polynomials; 11. Approximation ofprobability distributions; 12. Central limittheorems; 13. Approximation to the distributionsof more general statistics; 14. Higher-orderasymptotic approximations.Cambridge Series in Statistical andProbabilistic Mathematics2005/528 pp./10 tables/354 exercises84472-X/Hb/$65.00

Statistics for Real-LifeSample SurveysNon-Simple-Random Samples andWeighted DataSergey DorofeevRoy Morgan InternationalPeter GrantRoy Morgan Research

Samples used in social and commercialsurveys, especially of the generalpopulation, are usually less random (oftenby design) than many people using themrealize. Unless it is understood, this ‘non-randomness’ can compromise theconclusions drawn from the data. Thisbook introduces the challenges posed byless-than-perfect samples, givingbackground knowledge and practicalguidance for those who have to deal withthem. It explains why samples are, andsometimes should be, non-random in thefirst place; how to assess the degree ofnon-randomness; when correction byweighting is appropriate and how to

Mathematics

20Call 1-800-872-7423 • Fax 845-353-4141

apply it; and how the statistical treatmentof these samples must be adapted.Extended data examples show thetechniques at work. This is a book forpracticing researchers. It is a reference forthe methods and formulae needed to dealwith commonly encountered situationsand, above all, a source of realistic andimplementable solutions.2006/276 pp./10 line diagrams/20 tables85803-8/Hb/$99.0067465-4/Pb/$45.00

Statistical ModelsTheory and PracticeDavid FreedmanUniversity of California, Berkeley“A pleasure to read, StatisticalModels shows the field’s mostelegant writer at the height of hispowers. While most textbooks hurrypast core assumptions in order toexplicate technique, this book placesthe spotlight on the core assumptions,challenging readers to think criticallyabout how they are invoked inpractice.”Donald Green, Yale University

Contents:1. Observational studies and experiments; 2. Theregression line; 3. Matrix algebra; 4. Multipleregression; 5. Path models; 6. Maximumlikelihood; 7. The bootstrap; 8. Simultaneousequations; References; Answers to exercises; Thecomputer labs; Appendix: sample MATLAB code;Reprints; Index.2005/424 pp./22 tables/203 exercises85483-0/Hb/$80.0067105-1/Pb/$34.99

Probability and Statisticsby ExampleVolume 1, Basic Probability andStatisticsYuri SuhovUniversity of CambridgeMark KelbertUniversity of Wales, Swansea“All the ingredients that contribute tomaking a good lecture are in thebook: well-explained theory,interesting examples, and funny jokesand amusing stories about famousprobabilists and statisticians. Theauthors also give rhythm to the flowof the subjects, making the volume avery pleasant book to read.”Mathematical Reviews

Contents:Introduction; Part A. Probability: A1. Discreteoutcomes; A2. Continuous outcomes; A3. Index ofproblems for Part A; Part B. Statistics: B1.

Parameter estimation; B2. Hypothesis testing; B3.Tripos exam questions in IB statistics (1992-2004); Tables of random variables and probabilitydistributions; Glossary.2005/372 pp./43 line diagrams/2 tables/43figures84766-4/Hb/$110.0061233-0/Pb/$50.00

Random DynamicalSystemsTheory and ApplicationsRabi BhattacharyaUniversity of ArizonaMukul MajumdarCornell University, New York

This treatment provides an exposition ofdiscrete time dynamic processes evolvingover an infinite horizon. With examplesand exercises, readers are guided frombasic theory to the frontier of appliedmathematical research.Contents:1. Dynamical systems; 2. Markov processes; 3.Random dynamical systems; 4. Random dynamicalsystems: special structures; 5. Invariantdistributions: estimations and computation; 6.Discounted dynamic programming underuncertainty; 7. Appendix.2006/525 pp.82565-2/Hb/$90.00*53272-8/Pb/$45.00*

Fluid Dynamics andSolid Mechanics

Classical MechanicsR. Douglas GregoryUniversity of Manchester

This is a major new textbook forundergraduates in mathematics andphysics. It is a thorough, self-contained,and highly readable account of a subjectmany students find difficult. The author’sclear and systematic style promotes agood understanding of the subject; eachconcept is motivated and illustrated byworked examples, while problem setsprovide plenty of practice forunderstanding and technique. Computerassisted problems, some suitable forprojects, are also included.Contents:Part I. Newtonian Mechanics of a Single Particle:1. The algebra and calculus of vectors; 2. Velocity,acceleration and scalar angular velocity; 3.Newton’s laws of motion and the law ofgravitation; 4. Problems in particle dynamics; 5.Linear oscillations; 6. Energy conservation; 7.

Orbits in a central field; 8. Non-linear oscillationsand phase space; Part II. Multi-particle Systems: 9.The energy principle; 10. The linear momentumprinciple; 11. The angular momentum principle;Part III. Analytical mechanics: 12. Lagrange’sequations and conservation principle; 13. Thecalculus of variations and Hamilton’s principle; 14.Hamilton’s equations and phase space; Part IV.Further Topics: 15. The general theory of smalloscillations; 16. Vector angular velocity and rigidbody kinematics; 17. Rotating reference frames;18. Tensor algebra and the inertia tensor; 19.Problems in rigid body dynamics; Appendix.Centres of mass and moments of inertia; Answersto the problems; Bibliography; Index.2006/608 pp./193 line diagrams/3 tables/348exercises/181 worked examples82678-0/Hb/$120.0053409-7/Pb/$60.00

Nonlinear Dynamics andStatistical Theories forBasic Geophysical FlowsAndrew MajdaNew York UniversityXiaoming WangIowa State University

This introduction to the interplay betweennonlinear dynamics and statistical theoriesfor geophysical flows is designed for amulti-disciplinary audience ranging fromgraduate students to senior researchers.Novel applications of information theoryare utilized to simplify, unify, and comparethe equilibrium statistical theories. Topicsand related background concepts areintroduced and developed throughelementary examples and discussionthroughout the text as they arise.Contents:1. Barotropic geophysical flows and two-dimensional fluid flows: an elementaryintroduction; 2. The response to large scaleforcing; 3. The selective decay principle for basicgeophysical flows; 4. Nonlinear stability of steadygeophysical flows; 5. Topographic mean-flowinteraction, nonlinear instability, and chaoticdynamics; 6. Introduction to empirical statisticaltheory; 7. Equilibrium statistical mechanics forsystems of ordinary differential equations; 8.Statistical mechanics for the truncated quasi-geostrophic equations; 9. Empirical statisticaltheories for most probable states; 10. Assessingthe potential applicability of equilibrium statisticaltheories for geophysical flows: an overview; 11.Predictions and comparison of equilibriumstatistical theories; 12. Equilibrium statisticaltheories and dynamical modeling of flows withforcing and dissipation; 13. Predicting the jets andspots on Jupiter by equilibrium statisticalmechanics; 14. Statistically relevant and irrelevantconserved quantities for truncated quasi-geostrophic flow and the Burger-Hopf model; 15.A mathematical framework for quantifyingpredictability utilizing relative entropy; 16.Barotropic quasi-geostrophic equations on thesphere; Bibliography; Index.2006/564 pp./150 line diagrams/10 tables83441-4/Hb/$90.00

Mathematics


Computational Methodsfor Multiphase FlowEditorsAndrea ProsperettiThe Johns Hopkins UniversityGretar TryggvasonWorcester Polytechnic Institute, Massachusetts

This is a comprehensive and self-contained graduate-level introduction tothe computational modeling ofmultiphase flows. Each chapter is writtenby a recognized expert in the field andcontains extensive references to currentresearch. The book is organized so thatthe chapters are fairly independent toenable it to be used for a range ofadvanced courses. No other book offersthe simultaneous coverage of so manytopics related to multiphase flow. It willbe welcomed by researchers and graduatestudents in engineering, physics, andapplied mathematics.Contents and Contributors:Preface; 1. Introduction: A computationalapproach to multiphase flow A. Prosperetti and G.Tryggvason; 2. Direct numerical simulations offinite Reynolds number flows G. Tryggvason and S.Balachandar; 3. Immersed boundary methods forfluid interfaces G. Tryggvason, M. Sussman and M.Y. Hussaini; 4. Structured grid methods for solidparticles S. Balachandar; 5. Finite elementmethods for particulate flows H. Hu; 6. LatticeBoltzmann methods for multiphase flows S. Chen,X. He and L. S. Luo; 7. Boundary integral methodsfor Stokes flows J. Blawzdziewic; 8. Averagedequations for multiphase flows A. Prosperetti; 9.Point particle methods for disperse flows K.Squires; 10. Segregated methods for two-fluidmodels A. Prosperetti, S. Sundaresan, S. Pannalaand D. Z. Zhang; 11. Coupled methods for multi-fluid models A. Prosperetti.2006/470 pp./77 line diagrams/5 tables/105figures/23 color figures84764-8/Hb/$90.00*

Elements of NumericalMethods forCompressible FlowsDoyle D. KnightRutgers University, New Jersey

The purpose of this book is to present thebasic elements of numerical methods forcompressible flows. It is appropriate foradvanced undergraduate and graduatestudents and specialists working in highspeed flows. The focus is on the unsteadyone-dimensional Euler equations whichform the basis for numerical algorithms incompressible fluid mechanics.

Contents:1. Governing equations; 2. Mathematical natureof 1-D Euler equations; 3. 1-D Euler equations; 4.Reconstruction; 5. Godunov methods; 6. Fluxvector splitting methods; 7. Temporal quadrature;8. TVD methods; Index; Notes; Bibliography.Cambridge Aerospace Series2006/266 pp./13 tables/80 exercises55474-8/Hb/$95.00

Large-Eddy Simulationfor AcousticsEditorsClaus WagnerGerman Aerospace Center, GöttingenThomas HüttlMTU Aero Engines GmbH, MünchenPierre SagautUniversité Pierre et Marie Curie, ParisContents and Contributors:Preface; Part I. Introduction: 1. The importance ofacoustic research Thomas Hüttl; 2. Introduction tocomputational aeroacoustics Manuel Kessler; 3.State of the art: LES for acoustics Claus Wagner,Oliver Fleig and Thomas Hüttl; Part II. TheoreticalBackground: Aeroacoustics Avraham Hirschbergand Sjoerd Rienstra; Part III. TheoreticalBackground: Large-Eddy Simulation Pierre Sagaut;Part IV. Use of Hybrid RANS/LES for Acoustic-Source Predictions Paul Batten, Philippe Spalartand Marc Terracol; Part V. Numerical Methods: 4.Spatial and temporal discretization schemes TimBroeckhoven, Jan Ramboer, Sergey Smirnov andChris Lacor; 5. Boundary conditions for LESMichael Breuer; 6. Boundary conditions: acousticsFang Q. Hu; 7. Some concepts of LES-CAAcoupling Wolfgang Schroder and Roland Ewert;Part VI. Applications and Results of Large-EddySimulations for Acoustics: 8. Plane andaxisymmetric mixing layers Christophe Bogey andChristophe Bailly; 9. Far-field jet acoustics DanielJ. Bodony and Sanjiva K. Lele; 10. Cavity noiseXavier Gloerfelt, Christophe Bogey and ChristopheBailly; 11. Aero-elastic noise Sandrine Vergne,Jean-Marc Auger, Fred Perie, Andre Jacques andDimitri Nicolopoulos; 12. Trailing edge noiseRoland Ewert and Eric Manoha; 13. Blunt bodies(cylinder, cars) Franco Magagnato; 14. Internalflows Philippe Lafon, Fabien Crouzet and JeanPaul Devos; 15. Industrial aeroacoustics analysesFred Mendonca; Part VII. Conclusions ClausWagner, Pierre Sagaut and Thomas Hüttl.Cambridge Aerospace Series2006/575 pp./12 tables87144-1/Hb/$110.00

Molecular Models forFluidsKlaus LucasAachen University of Technology

This book presents the development ofmodern molecular models for fluids fromthe interdisciplinary fundamentals ofclassical and statistical mechanics, ofelectrodynamics, and of quantummechanics. The book is suited forgraduate courses in chemical andmechanical engineering, physics andchemistry, but may also, by properselection, be found useful on theundergraduate level.2006/920 pp./18 tables/28 exercises85240-4/Hb/$95.00*

The Navier-StokesEquationsA Classification of Flows and ExactSolutionsP. G. DrazinUniversity of BristolN. RileyUniversity of East Anglia

The Navier-Stokes equations were firmlyestablished in the 19th Century as thesystem of nonlinear partial differentialequations which describe the motion ofmost commonly occurring fluids in air andwater, and since that time exact solutionshave been sought by scientists.Collectively these solutions allow a clearinsight into the behavior of fluids,providing a vehicle for novelmathematical methods and a useful checkfor computations in fluid dynamics, a fieldin which theoretical research is nowdominated by computational methods.This book draws together exact solutionsfrom widely differing sources and presentsthem in a coherent manner, in part byclassifying solutions via their temporaland geometric constraints. It will prove tobe a valuable resource to all who have aninterest in the subject of fluid mechanics,and in particular to those who arelearning or teaching the subject at thesenior undergraduate and graduate levels.London Mathematical Society LectureNote Series2006/206 pp.68162-6/Pb/$50.00

Mathematics

22Call 1-800-872-7423 • Fax 845-353-4141




Lagrangian FluidDynamicsAndrew BennettOregon State University

Starting from the foundations ofelementary kinematics and assumingsome familiarity of Eulerian fluiddynamics, this book reviews the classicaland new exact solutions of theLagrangian framework, and thenaddresses the general solvability of theresulting general equations of motion. Aunified account of turbulent diffusion anddispersion is offered, with applications toplankton patchiness in the ocean, amongothers.Contents:Part I. The Lagrangian Formulation: 1. Lagrangiankinematics; 2. Lagrangian statistics; 3. Lagrangiandynamics; 4. Coordinates; 5. Real fluids; Part II.Lagrangian Flows: 6. Some analytical Lagrangiansolutions; 7. Waves, instabilities and vortices; 8.Viscous incompressible flow; 9. Generalsolvability; Part III. Diffusion: 10. Absolutedispersion; 11. Relative dispersion; 12. Convectivesubranges, scalar variance spectrum; 13. Diffusion;Part IV. Lagrangian data: 14. Observing systems;15. Data analysis: the single particle; 16. Dataanalysis: particle clusters; References.Cambridge Monographs on Mechanics2006/308 pp./20 line diagrams/20 figures85310-9/Hb/$95.00

The MathematicalFoundations of MixingThe Linked Twist Map as a Paradigmin Applications: Micro to Macro,Fluids to SolidsRob SturmanUniversity of BristolJulio M. OttinoNorthwestern UniversityStephen WigginsUniversity of Bristol

The authors show how a variety of flowsin very different settings possess thecharacteristic of streamline crossing. Thisnotion can be placed on firmmathematical footing via Linked TwistMaps (LTMs), which is the centralorganizing principle of this book. Theauthors discuss the definition andconstruction of LTMs, provide examples ofspecific mixers that can be analyzed in theLTM framework and introduce a numberof mathematical techniques which arethen brought to bear on the problem offluid mixing.Contents:Preface; 1. Mixing: physical issues; 2. Linked twistmaps; 3. The ergodic hierarchy; 4. Existence of ahorseshoe; 5. Hyperbolicity; 6. The ergodic

partition for toral LTMs; 7. Ergodicity and Bernoullifor TLTMs; 8. Linked twist maps on the plane; 9.Further directions and open problems;Bibliography; Index.Cambridge Monographs on Applied andComputational Mathematics2006/302 pp./110 line diagrams/17 colorfigures86813-0/Hb/$75.00

Applied Math andComputational

Science

An Introduction toParallel and VectorScientific ComputingRonald W. ShonkwilerLew LeftonGeorgia Institute of Technology, Atlanta

In this text, students of appliedmathematics, science, and engineering areintroduced to fundamental ways ofthinking about the broad context ofparallelism.Contents:Part I. Machines and Computation: 1. Introduction- the nature of high performance computation; 2.Theoretical considerations - complexity; 3.Machine implementations; Part II. Linear Systems:4. Building blocks - Floating point numbers andbasic linear algebra; 5. Direct methods for linearsystems and LU decomposition; 6. Direct methodsfor systems with special structure; 7. Error analysisand QR decomposition; 8. Iterative methods forlinear systems; 9. Finding eigenvalues andeigenvectors; Part III. Monte Carlo Methods: 10.Monte Carlo Simulation; 11. Monte Carlooptimization; Appendix: Programming examples.Cambridge Texts in Applied Mathematics2006/300 pp./10 tables/120 exercises86478-X/Hb/$90.0068337-8/Pb/$39.99

Multiple ScatteringInteraction of Time-Harmonic Waveswith N ObstaclesP. A. MartinColorado School of Mines

The interaction of waves with obstacles isan everyday phenomenon in science andengineering, arising for example inacoustics, electromagnetism, seismologyand hydrodynamics. The mathematicaltheory and technology needed tounderstand the phenomenon is known asmultiple scattering, and this book is thefirst devoted to the subject. This will be

an essential reference on the topic forapplied mathematicians, physicists, andengineers.Contents:Preface; 1. Introduction; 2. Addition theorems intwo dimensions; 3. Addition theorems in threedimensions; 4. Methods based on separation ofvariables; 5. Integral equation methods I: basictheory; 6. Integral equation methods II: furtherdetails; 7. Null-field and T-matrix methods; 8.Approximations; Appendices; Comments on thebibliography; Bibliography; Citation index; Index.Encyclopedia of Mathematics and itsApplications2006/450 pp./10 line diagrams86554-9/Hb/$140.00

Nonlinear Analysis andSemilinear EllipticProblemsAntonio AmbrosettiAndrea MalchiodiMany problems in science andengineering are described by nonlineardifferential equations, which can benotoriously difficult to solve. Through theinterplay of topological and variationalideas, methods of nonlinear analysis areable to tackle such fundamentalproblems. This graduate text explainssome of the key techniques in a way thatwill be appreciated by mathematicians,physicists, and engineers.Contents:Preface; 1. Preliminaries; Part I. TopologicalMethods: 2. A primer on bifurcation theory; 3.Topological degree, I; 4. Topological degree, II:global properties; Part II. Variational Methods, I: 5.Critical points: extrema; 6. Constrained criticalpoints; 7. Deformations and the Palais-Smalecondition; 8. Saddle points and min-max methods;Part III. Variational Methods, II: 9. Lusternik-Schnirelman theory; 10. Critical points of evenfunctionals on symmetric manifolds; 11. Furtherresults on Elliptic Dirichlet problems; 12. Morsetheory; Part IV. Appendices: Appendices;Bibliography; Index.Cambridge Studies in AdvancedMathematics2006/300 pp./55 line diagrams/28 exercises86320-1/Hb/$80.00*

Mathematics


CALL:1-800-872-7423

FAX ORDERS TO:(845) 353-4141

LOG ON TO:www.cambridge.org/us

Dynamic DataAssimilationA Least Squares ApproachJohn M. LewisS. LakshmivarahanSudarshan DhallUniversity of Oklahoma“I find a lot of detail that the readerswill appreciate, and I like the way thebook is structured — from ‘simple’estimation methods to the Kalmanfilter and variational methods.”Professor Martin Ehrendorfer, University ofVienna

Contents:1. Synopsis; 2. Pathways into data assimilation:illustrative examples; 3. Applications; 4. Briefhistory of data assimilation; 5. Linear leastsquares estimation: method of normal equations;6. A geometric view: projection and invariance; 7.Nonlinear least squares estimation; 8. Recursiveleast squares estimation; 9. Matrix methods; 10.Optimization: steepest descent method; 11.Conjugate direction/gradient methods; 12.Newton and quasi-Newton methods; 13.Principles of statistical estimation; 14. Statisticalleast squares estimation; 15. Maximum likelihoodmethod; 16. Bayesian estimation method; 17.From Gauss to Kalman: sequential, linearminimum variance estimation; 18. Dataassimilation-static models: concepts andformulation; 19. Classical algorithms for dataassimilation; 20. 3DVAR - a Bayesian formulation;21. Spatial digital filters; 22. Dynamical dataassimilation: the straight line problem; 23. First-order adjoint method: linear dynamics; 24. First-order adjoint method: nonlinear dynamics; 25.Second-order adjoint method; 26. The ADVARproblem: a statistical and a recursive view; 27.Linear filtering - Part I: Kalman filter; 28. Linearfiltering-part II; 29. Nonlinear filtering; 30.Reduced rank filters; 31. Predictability: astochastic view; 32. Predictability: a deterministicview; Bibliography; Index.Encyclopedia of Mathematics and itsApplications2006/676 pp./29 tables/208 exercises/110figures85155-6/Hb/$145.00

Dynamical SystemsEditorsAlbert FathiEcole Normale Supérieure, LyonJ.-C. YoccozCollège de France, ParisContents:1. Michael Robert Herman, 1942-2000; 2. L2regularity of measurable solutions of a finite-difference equation of the circle; 3. On Herman’stheorem for ergodic, amenable group extensionsof endomorphisms; 4. Lyapunov exponents withmultiplicity 1 for deterministic products ofmatrices; 5. Remarks on stability and diffusion inhigh-dimensional Hamiltonian systems and partialdifferential equations; 6. Stable manifolds and thePerron-Irwin method; 7. C2 densely the 2-sphere

has an elliptic closed geodesic; 8. Further rigidityproperties of conformal Anosov systems; 9. Onsome approximation of the 3D Euler system; 10.Lyapunov 1-forms for flows; 11. Constructions inelliptic dynamics; 12. Démonstration du ‘théorèmed’Arnold’ sur la stabilité du système planétaire(d’après Herman); 13. Sur le théorème deBertrand (d’après Michael Herman); 14.Commutators and diffeomorphisms of surfaces;15. Wandering domains and random walks inGevrey near-integrable systems; 16. Examples ofAubry sets; 17. New phenomena associated withhomoclinic tangencies; 18. On holomorphic criticalquasi-circle maps; 19. KAM theorem for GevreyHamiltonians; 20. Convergent transformationsinto a normal form in analytic Hamiltoniansystems with two degrees of freedom on the zeroenergy surface near degenerate ellipticsingularities; 21. Sur les structures de Poissonsingulières.2006/602 pp./70 line diagrams/1 half-tone86068-7/Hb/$110.00

Weather Prediction byNumerical Process2nd EditionLewis Fry RichardsonThe idea of forecasting the weather bycalculation was first dreamt of by LewisFry Richardson. The first edition of thisbook, published in 1922, set out adetailed algorithm for systematicnumerical weather prediction. This editioncontains a new foreword by Peter Lynchthat sets the original book in context.Contents:Foreword; 1. Summary; 2. Introductory example;3. The choice of cooordinate differences; 4. Thefundamental equations; 5. Finding the verticalvelocity; 6. Special treatment for the stratosphere;7. The arrangement of points and instants; 8.Review of operations in sequence; 9. An exampleworked on computing forms; 10. Smoothing theinitial data; 11. Some remaining problems; 12.Units and notation; Index of persons; Index ofsubsidiary subjects.Cambridge Mathematical Library2007/c. 250 pp.68044-1/Pb/$55.00*

The Emergence ofNumerical WeatherPrediction: Richardson’sDreamPeter LynchUniversity College Dublin

This book tells the story of Richardson’strial forecast, and the fulfillment of hisdream of practical numerical weatherforecasting. It includes a completereconstruction of Richardson’s forecast,and analyzes in detail the causes of his

failure. This will appeal to everyoneinvolved in numerical weather forecasting,from researchers and graduate studentsto professionals.Contents:Guiding signs; Preface; Acknowledgements; 1.Weather and prediction by numerical process; 2.The fundamental equations; 3. The oscillations ofthe atmosphere; 4. The barotropic forecast; 5. Thesolution algorithm; 6. Observations and initalfields; 7. Richardson’s forecast; 8. Balance andinitialization; 9. Smoothing the forecast; 10. TheENIAC integrations; 11. Numerical weatherprediction today; 12. Fulfilment of the dream;Appendices; References; Index.2006/304 pp./45 line diagrams/20 half-tones/25 tables85729-5/Hb/$75.00

An Introduction toComputational Physics2nd EditionTao PangUniversity of Nevada, Las Vegas

Thoroughly updated and revised for itssecond edition, this advanced textbookprovides an introduction to the basicmethods of computational physics, and anoverview of recent progress in severalareas of scientific computing. Nowincluding many more exercises, thevolume can be used as a textbook foreither undergraduate or first-yeargraduate courses on computationalphysics or scientific computation. It willalso be a useful reference for anyoneinvolved in computational research.Contents:1. Introduction; 2. Approximation of a function; 3.Numerical calculus; 4. Ordinary differentialequations; 5. Numerical methods for matrices; 6.Spectral analysis; 7. Partial differential equations;8. Molecular dynamics simulations; 9. Modelingcontinuous systems; 10. Monte Carlo simulations;11. Genetic algorithm and programming; 12.Numerical renormalization; References.2006/402 pp./37 line diagrams/5 half-tones/3tables/169 exercises82569-5/Hb/$70.00

Mathematics

24Call 1-800-872-7423 • Fax 845-353-4141




IntroductoryComputational PhysicsAndi KleinLos Alamos National LaboratoryAlexander GodunovOld Dominion University, Virginia

Introducing students to computationalphysics, this textbook reveals how to usecomputers to solve mathematicalproblems in physics and teaches studentsabout choosing different numericalapproaches.Contents:1. Introduction; 2. Basics; 3. Short introduction toLinux; 4. Interpolation I; 5. Interpolation II; 6.Taking derivatives; 7. Numerical integration; 8.Solution of nonlinear equations; 9. Differentialequations, 10. Matrices; 11. Random processesand Monte Carlo simulation; A. The ROOT system;B. Free scientific libraries; C. FORTRAN and C++;D. Program listings.2006/146 pp./9 line diagrams/32 half-tones82862-7/Hb/$65.00

Pattern FormationAn Introduction to MethodsRebecca HoyleUniversity of Surrey

From the stripes of a zebra and the spotson a leopard’s back to the ripples on asandy beach or desert dune, regularpatterns arise everywhere in nature. Theappearance and evolution of thesephenomena have been a focus of recentresearch activity across several disciplines.This book provides an introduction to therange of mathematical theory andmethods used to analyze and explainthese often intricate and beautifulpatterns. Bringing together severaldifferent approaches, from group theoreticmethods to envelope equations andtheory of patterns in large-aspect ratio-systems, the book also provides insightbehind the selection of one pattern overanother.Contents:1. What are natural patterns?; 2. A bit ofbifurcation theory?; 3. A bit of group theory?; 4.Bifurcations with symmetry; 5. Simple latticepatterns; 6. Superlattices, hidden symmetries andother complications; 7. Spatial modulation andenvelope equations; 8. Instabilities of stripes andtravelling plane waves; 9. More instabilities ofpatterns; 10. Spirals, defects and spiral defectchaos; 11. Large-aspect-ratio systems and theCross-Newell equations.2006/432 pp./100 line diagrams/30 half-tones/8 color plates/9 tables/50 exercises/12color figures/20 worked examples81750-1/Hb/$80.00

Applied OptimizationFormulation and Algorithms forEngineering SystemsRoss BaldickUniversity of Texas, Austin

The starting point in the formulation ofany numerical problem is to take anintuitive idea about the problem inquestion and to translate it into precisemathematical language. This bookprovides step-by-step descriptions of howto formulate numerical problems so thatthey can be solved by existing software.Contents:1. Introduction; 2. Problems, algorithms, andsolutions; 3. Transformation of problems; Part I.Linear Simultaneous Equations: 4. Case studies; 5.Algorithms; Part II. Non-linear SimultaneousEquations: 6. Case studies; 7. Algorithms; 8.Solution of the case studies; Part III.Unconstrained Optimization: 9. Case studies; 10.Algorithms; 11. Solution of the case studies; PartIV. Equality Constrained Optimization: 12. Casestudies; 13. Algorithms for linear constraints; 14.Algorithms for non-linear constraints; Part V.Inequality Constrained Optimization: 15. Casestudies; 16. Algorithms for non-negativityconstraints; 17. Algorithms for linear constraints;18. Solution of the case studies; 19. Algorithmsfor non-linear constraints; 20. Solution of the casestudies; References; Index.2006/786 pp./180 line diagrams/369 exercises85564-0/Hb/$90.00

Spectral Methods forTime-DependentProblemsJan HesthavenBrown University, Rhode IslandSigal GottliebUniversity of Massachusetts, DartmouthDavid GottliebBrown University, Rhode Island

Spectral methods are well-suited to solveproblems modeled by time-dependentpartial differential equations. This class-tested introduction, the first on thesubject, is ideal for graduate courses orself-study.Contents:Introduction; 1. From local to globalapproximation; 2. Trigonometric polynomialapproximation; 3. Fourier spectral methods; 4.Orthogonal polynomials; 5. Polynomialexpansions; 6. Polynomial approximations theoryfor smooth functions; 7. Polynomial spectralmethods; 8. Stability of polynomial spectralmethods; 9. Spectral methods for non-smoothproblems; 10. Discrete stability and timeintegration; 11. Computational aspects; 12.Spectral methods on general grids; Bibliography.Cambridge Monographs on Applied andComputational Mathematics2006/450 pp./50 line diagrams79211-8/Hb/$80.00*

Now in Paperback!

Geometry and Topologyfor Mesh GenerationHerbert EdelsbrunnerDuke University, North Carolina

This book combines mathematics(geometry and topology), computerscience (algorithms), and engineering(mesh generation) in order to solve theconceptual and technical problems in thecombining of elements of combinatorialand numerical algorithms. The bookdevelops methods from areas that areamenable to combination and explainsrecent breakthrough solutions to meshingthat fit into this category. It is an idealgraduate text for courses on meshgeneration.Contents:1. Delaunay triangulations; 2. Triangle meshes; 3.Combinatorial topology; 4. Surface simplification;5. Delaunay tetrahedrizations; 6. Tetrahedronmeshes; 7. Open problems.Cambridge Monographs on Applied andComputational Mathematics2006/190 pp.68207-X/Pb/$29.99

Now in Paperback!

Geometric PartialDifferential Equationsand Image AnalysisGuillermo SapiroUniversity of Minnesota“I think that every person interestedin image analysis by partialdifferential equations or related fields,such as differential geometry andcurve evolution, should read thisbook.”Mathematics of Computation

Contents:1. Basic mathematical background; 2. Geometriccurve and surface evolution; 3. Geodesic curvesand minimal surfaces; 4. Geometric diffusion ofscalar images; 5. Geometric diffusion of vectorvalued images; 6. Diffusion on non-flat manifolds;7. Contrast enhancement; 8. Additional theoriesand applications.2006/440 pp.68507-9/Pb/$39.99

Mathematics


Matrix PreconditioningTechniques andApplicationsKe ChenUniversity of Liverpool

Preconditioning techniques have emergedas an essential part of successful andefficient iterative solutions of matrices. KeChen’s book offers a comprehensiveintroduction to these methods. Pitched atgraduate level, the book is intended toserve as a useful guide and reference forstudents, computational practitioners,engineers and researchers alike.Contents:1. Introduction; 2. Direct methods; 3. Iterativemethods; 4. Matrix splitting preconditioners [t1];5. Approximate inverse preconditioners [t2]; 6.Multilevel methods and preconditioners [t3]; 7.Multilevel recursive Schur complementspreconditioners; 8. Wavelet preconditioners [t5]for ˆA n x n and ˆA -1 n x n; 9. Wavelet Schurpreconditioners [t6]; 10. Implicit waveletpreconditioners [t7]; 11. Application I - acousticscattering modelling; 12. Application II - coupledmatrix problems; 13. Application III - imagerestoration and inverse problems; 14. ApplicationIV-voltage stability in electrical power systems;15. Parallel computing by examples.Cambridge Monographs on Applied andComputational Mathematics2005/592 pp./93 line diagrams/2 half-tones/5tables/83 figures/20 worked examples83828-2/Hb/$95.00

Practical AppliedMathematicsModelling, Analysis, ApproximationSam HowisonUniversity of Oxford

Drawing from an exhaustive variety ofmathematical subjects, including real andcomplex analysis, fluid mechanics andasymptotics, this book demonstrates howmathematics can be intelligently appliedwithin the specific context to a widerange of industrial uses. The volume isdirected to undergraduate and graduatestudents.Contents:Part I. Modelling Techniques: 1. The basics ofmodelling; 2. Units, dimensions and dimensionalanalysis; 3. Non-dimensionalisation; 4. Casestudies: hair modelling and cable laying; 5. Casestudy: the thermistor (1); 6. Case study:electrostatic painting (1); Part II. MathematicalTechniques: 7. Partial differential equations; 8.Case study: traffic modelling; 9. Distributions; 10.Theory of distributions; 11. Case study: thepantograph; Part III. Asymptotic techniques: 12.Asymptotic expansions; 13. Regular perturbationexpansions; 14. Case study: electrostatic painting(2); 15. Case study: piano tuning; 16. Boundarylayers; 17. Case study: the thermistor (2); 18.

‘Lubrication theory’ analysis; 19. Case study:continuous casting of steel; 20. Lubrication theoryfor fluids; 21. Case study: eggs; 22. Methods foroscillators; 23. Ray theory and other ‘exponential’approaches.Cambridge Texts in Applied Mathematics2005/340 pp./17 line diagrams/3 half-tones/123 exercises/20 figures/29 workedexamples84274-3/Hb/$125.0060369-2/Pb/$55.00

Numerical Solution ofPartial DifferentialEquationsAn Introduction2nd EditionK. W. MortonUniversity of BathD. F. MayersUniversity of Oxford“...a classic piece of work with whichevery applied mathematician andengineer should become familiar.”Applied Mechanics Reviews

“Numerical Solution of PartialDifferential Equations is one of thebest introductory books on the finitedifference method available.”MAA Reviews

Contents:1. Introduction; 2. Parabolic equations in onespace variable; 3. 2-D and 3-D parabolicequations; 4. Hyperbolic equations in one spacedimension; 5. Consistency, convergence andstability; 6. Linear second order elliptic equationsin two dimensions; 7. Iterative solution of linearalgebraic equations; Bibliography; Index.2005/302 pp.60793-0/Pb/$45.00

An Introduction toPartial DifferentialEquationsYehuda PinchoverTechnion - Israel Institute of Technology, HaifaJacob RubinsteinIndiana University“This is an introductory book on thesubject of partial differentialequations which is suitable for a largevariety of basic courses on this topic.In particular, it can be used as atextbook or self-study book for largeclasses of readers with interests inmathematics, engineering, and relatedfields. Its usefulness stems from itsclarity, balance and conciseness,achieved without compromising themathematical rigor. One particularlyattractive feature is the way in whichthe authors managed to emphasize

the relevance of the theoretical toolsin connection with practicalapplications.”Mathematical Reviews

Contents:1. Introduction; 2. First-order equations; 3.Second-order linear equations; 4. The 1D waveequation; 5. Separation of variables; 6. Sturm-Liouville problem; 7. Elliptic equations; 8. Green’sfunction and integral representation; 9. Equationsin high dimensions; 10. Variational methods; 11.Numerical methods; 12. Solutions of odd-numbered problems.2005/384 pp./35 line diagrams/200exercises/35 figures84886-5/Hb/$120.0061323-X/Pb/$50.00

Computer Science

Writing ScientificSoftwareA Guide to Good StyleSuely OliveiraDavid E. StewartUniversity of Iowa

Scientists, engineers and computerscientists need to write good code, forspeed, clarity, flexibility and ease of re-use. Oliveira and Stewart’s style guide fornumerical software points out goodpractices to follow, and pitfalls to avoid.By following their advice, readers willlearn how to write efficient software, andhow to test it for bugs, accuracy, andperformance.Contents:Part I. Numerical Software: 1. Why numericalsoftware?; 2. Scientific computation andnumerical analysis; 3. Priorities; 4. Famousdisasters; 5. Exercises; Part II. DevelopingSoftware: 6. Basics of computer organization; 7.Software design; 8. Modularity and all that; 9.Data structures; 10. Design for testing anddebugging; 11. Exercises; Part III. Efficiency inTime, Efficiency in Memory: 12. Be algorithmaware; 13. Computer architecture and efficiency;14. Global vs. local optimization; 15. Grabbingmemory when you need it; 16. Memory bugs andleaks; Part IV. Tools: 17. Sources of scientificsoftware; 18. Unix tools; 19. Cubic spline functionlibrary; 20. Multigrid algorithms; A. Review ofvectors and matrices; B. Trademarks; Bibliography;Index.2006/316 pp.85896-8/Hb/$85.0067595-2/Pb/$34.99

Mathematics

26Call 1-800-872-7423 • Fax 845-353-4141

A Guide to MATLAB®For Beginners and Experienced Users2nd EditionBrian R. HuntRonald L. LipsmanJonathan M. RosenbergUniversity of Maryland, College ParkKevin R. CoombesUniversity of TexasJohn E. OsbornGarrett J. StuckUniversity of Maryland, College Park

This is a short, focused introduction toMATLAB, a comprehensive softwaresystem for mathematical and technicalcomputing. It contains conciseexplanations of essential MATLABcommands, as well easily understoodinstructions for using MATLAB’sprogramming features, graphicalcapabilities, simulation models, and richdesktop interface. Written for MATLAB 7 itcan also be used with earlier (and later)versions of MATLAB.Contents:Preface; 1. Getting started; 2. MATLAB basics; 3.Interacting with MATLAB; 4. Beyond the basics; 5.MATLAB graphics; 6. M-Books; 7. MATLABprogramming; 8. SIMULINK and GUIs; 9.Applications; 10. MATLAB and the internet; 11.Troubleshooting; Solutions to the practice sets;Glossary; Index.2006/416 pp./145 line diagrams/39 exercises/9worked examples85068-1/Hb/$125.0061565-8/Pb/$50.00

The Text MiningHandbookAdvanced Approaches in AnalyzingUnstructured DataRonen FeldmanBar-Ilan University, IsraelJames SangerABS Ventures, Boston, Massachusetts

Text mining tries to solve the crisis ofinformation overload by combiningtechniques from data mining, machinelearning, natural language processing,information retrieval, and knowledgemanagement. In addition to providing anin-depth examination of core text miningand link detection algorithms andoperations, this book examines advancedpre-processing techniques, knowledgerepresentation considerations, andvisualization approaches. Finally, itexplores current real-world, mission-critical applications of text mining and

link detection in such varied fields asM&A business intelligence, genomicsresearch, and counter-terrorism activities.Contents:1. Introduction to text mining; 2. Core text miningoperations; 3. Text mining preprocessingtechniques; 4. Categorization; 5. Clustering; 6.Information extraction; 7. Probabilistic models forInformation extraction; 8. Preprocessingapplications using probabilistic and hybridapproaches; 9. Presentation-layer considerationsfor browsing and query refinement; 10.Visualization approaches; 11. Link analysis; 12.Text mining applications; Appendix; Bibliography.2006/424 pp.83657-3/Hb/$70.00

Introduction toClustering Large andHigh-Dimensional DataJacob KoganUniversity of Maryland, Baltimore

There is a growing need for a moreautomated system of partitioning datasets into groups, or clusters. For example,digital libraries and the World Wide Webcontinue to grow exponentially, the abilityto find useful information increasinglydepends on the indexing infrastructure orsearch engine. Clustering techniques canbe used to discover natural groups in datasets and to identify abstract structuresthat might reside there, without havingany background knowledge of thecharacteristics of the data. Clustering hasbeen used in a variety of areas, includingcomputer vision, VLSI design, data mining,bioinformatics (gene expression analysis),and information retrieval, to name just afew. This book focuses on a few of themost important clustering algorithms,providing a detailed account of thesemajor models in an information retrievalcontext.Contents:1. Introduction and motivation; 2. Quadratic k-means algorithm; 3. BIRCH; 4. Spherical k-meansalgorithm; 5. Linear algebra techniques; 6.Information-theoretic clustering; 7. Clustering withoptimization techniques; 8. k-means clusteringwith divergence; 9. Assessment of clusteringresults; 10. Appendix: Optimization and LinearAlgebra Background; 11. Solutions to selectedproblems.2006/224 pp.85267-6/Hb/$75.0061793-6/Pb/$29.99

Planning AlgorithmsSteven M. LaValleUniversity of Illinois, Urbana-Champaign“The book by Steve LaValle gives anexcellent overview of the currentstate of the art in the field. It shouldlie on the desk of everybody that isinvolved in motion planning researchor the use of motion planning inapplications.”Professor Mark Overmars, UtrechtUniversity

Written for computer scientists andengineers with interests in artificialintelligence, robotics, or control theory,this is the only book on this topic thattightly integrates a vast body of literaturefrom several fields into a coherent sourcefor teaching and reference in a widevariety of applications. Difficultmathematical material is explainedthrough hundreds of examples andillustrations.Contents:Part I. Introductory Material: 1. Introduction; 2.Discrete planning; Part II. Motion Planning: 3.Geometric representations and transformations; 4.The configuration space; 5. Sampling-basedmotion planning; 6. Combinatorial motionplanning; 7. Extensions of basic motion planning;8. Feedback motion planning; Part III. Decision-Theoretic Planning: 9. Basic decision theory; 10.Sequential decision theory; 11. Informationspaces; 12. Planning under sensing uncertainty;Part IV. Planning Under Differential Constraints:13. Differential models; 14. Sampling-basedplanning under differential constraints; 15. Systemtheory and analytical techniques.2006/842 pp./304 exercises86205-1/Hb/$60.00

Prediction, Learning, andGamesNicolo Cesa-BianchiUniversità degli Studi di MilanoGabor LugosiUniversitat Pompeu Fabra, Barcelona

This important new text and reference forresearchers and students in machinelearning, game theory, statistics, andinformation theory offers the firstcomprehensive treatment of the problemof predicting individual sequences. Unlikestandard statistical approaches toforecasting, prediction of individualsequences does not impose anyprobabilistic assumption on the data-generating mechanism. Yet, predictionalgorithms can be constructed that workwell for all possible sequences, in thesense that their performance is alwaysnearly as good as the best forecasting

Mathematics


strategy in a given reference class. Thecentral theme is the model of predictionusing expert advice, a general frameworkwithin which many related problems canbe cast and discussed.Contents:1. Introduction; 2. Prediction with expert advice;3. Tight bounds for specific losses; 4. Randomizedprediction; 5. Efficient forecasters for large classesof experts; 6. Prediction with limited feedback; 7.Prediction and playing games; 8. Absolute loss; 9.Logarithmic loss; 10. Sequential investment; 11.Linear pattern recognition; 12. Linearclassification; 13. Appendix.2006/406 pp./2 tables/200 exercises84108-9/Hb/$65.00

Mathematics of DigitalImagesCreation, Compression, Restoration,RecognitionS. G. HoggarUniversity of Glasgow

This major revision of the author’s popularbook still focuses on foundations andproofs, but now shifts toward probabilityand information theory (with Shannon’ssource and channel encoding theorems)which are used throughout. This is avaluable book for computer scientists,engineers, and applied mathematicians.Contents:Introduction; 1. Isometries; 2. How isometriescombine; 3. The braid patterns; 4. Plane patternsand symmetries; 5. The 17 plane patterns; 6. Moreplane truth; 7. Vectors and matrices; 8. Matrixalgebra; 9. Probability; 10. Random vectors; 11.Sampling and inference; 12. Entropy and coding;13. Information and error-correction; 14. TheFourier transform; 15. Transforming images; 16.Scaling; 17. B-spline wavelets; 18. Furthermethods; References; Symbols; Selected answers;Index.2006/776 pp./30 half-tones/20 tables/125exercises/250 figures/5 color figures78029-2/Hb/$80.00

Geometric SpannerNetworksGiri NarasimhanMichiel SmidAimed at an audience of researchers andgraduate students in computationalgeometry and algorithm design, this bookuses the Geometric Spanner NetworkProblem to showcase a number of usefulalgorithmic techniques, data structurestrategies, and geometric analysistechniques with many applications,practical and theoretical.

Contents:Part I. Introduction: 1. Introduction; 2. Algorithmsand graphs; 3. The algebraic computation-treemodel; Part II. Spanners Based on SimplicalCones: 4. Spanners based on the Q-graph; 5.Cones in higher dimensional space and Q-graphs;6. Geometric analysis: the gap property; 7. Thegap-greedy algorithm; 8. Enumerating distancesusing spanners of bounded degree; Part III. TheWell Separated Pair Decomposition and itsApplications: 9. The well-separated pairdecomposition; 10. Applications of well-separatedpairs; 11. The Dumbbell theorem; 12. Shortcuttingtrees and spanners with low spanner diameter;13. Approximating the stretch factor of Euclideangraphs; Part IV. The Path Greedy Algorithm: 14.Geometric analysis: the leapfrog property; 15. Thepath-greedy algorithm; Part V. Further Results andApplications: 16. The distance range hierarchy; 17.Approximating shortest paths in spanners; 18.Fault-tolerant spanners; 19. Designingapproximation algorithms with spanners; 20.Further results and open problems.2007/c. 560 pp.81513-4/Hb/$80.00*

Extending Mechanics toMindsThe Mechanical Foundations ofPsychology and EconomicsJon DoyleNorth Carolina State University“This is an extraordinary treatiseproviding insight into a broad rangeof interrelated topics that havepuzzled philosophers for millennia andoccupied researchers in artificialintelligence, economics, cognitivescience and psychology for as long asthese disciplines have existed. Doylehas himself been studying these topicsfor over two decades and hasprobably done more than any otherscholar to bring to bear theperspectives and insights offered bythese disciplines and then to craft anew theory that borrows from thepast but considerably expands theexplanatory power of previoustheories.”Thomas Dean, Brown University

This book deploys the mathematicalaxioms of modern rational mechanics tounderstand minds as mechanical systemsthat exhibit actual, not metaphorical,forces, inertia, and motion. Using precisemental models developed in artificialintelligence the author analyzesmotivation, attention, reasoning, learning,and communication in mechanical terms.2006/476 pp.86197-7/Hb/$95.00

Curve and SurfaceReconstructionAlgorithms with MathematicalAnalysisTamal K. DeyOhio State University

Many applications in science andengineering require a digital model of areal physical object. Advanced scanningtechnology has made it possible to scansuch objects and generate point sampleson their boundaries. This book shows howto compute a digital model from thispoint sample. Scientists and engineersworking in drug design, medical imaging,CAD, GIS, and many other areas willbenefit from this first book on the subject.Contents:1. Basics; 2. Curve reconstruction; 3. Surfacesamples; 4. Surface reconstruction; 5.Undersampling; 6. Watertight reconstructions; 7.Noisy Samples; 8. Noise and reconstruction; 9.Implicit surface based reconstructions; 10. Morsetheoretic reconstructions.Cambridge Monographs on Applied andComputational Mathematics2006/232 pp./70 exercises86370-8/Hb/$65.00

Quantum Cryptographyand Secret-KeyDistillationGilles Van AsscheThis self-contained text introduces theprinciples and techniques of quantumcryptography, setting it in the widercontext of cryptography and security, withspecific focus on secret-key distillation.With its blend of fundamental theory,implementation techniques, and details ofrecent protocols, this book will be ofinterest to graduate students, researchers,and practitioners in electrical engineering,physics, and computer science.Contents:1. Introduction; 2. Classical cryptography; 3.Information theory; 4. Quantum informationtheory; 5. Cryptosystems based on quantum keydistribution; 6. General results on secret-keydistillation; 7. Privacy amplification using hashfunctions; 8. Reconciliation; 9. Non-binaryreconciliation; 10. The BB84 protocol; 11.Protocols with continuous variables; 12. Securityanalysis of quantum key distribution; Appendix 1.Symbols and abbreviations.2006/276 pp./38 figures86485-2/Hb/$80.00

Mathematics

28Call 1-800-872-7423 • Fax 845-353-4141

Automata Theory withModern ApplicationsJames A. AndersonUniversity of South Carolina

Recent applications to biomolecularscience and DNA computing have createda new audience for automata theory andformal languages. This is the onlyintroductory book to cover suchapplications. With over 350 exercises andmany examples and illustrations, this textwill make an ideal contemporaryintroduction for students; others, new tothe field, will welcome it for self-learning.Contents:1. Introduction; 2. Languages and codes; 3.Automata; 4. Grammars; 5. Turing machines; 6. Avisual approach to formal languages; 7. Frombiopolymers to formal language theory;Bibliography; Index.2006/264 pp./5 tables/351 exercises/147figures/109 worked examples84887-3/Hb/$99.0061324-8/Pb/$45.00

Computational OrientedMatroidsEquivalence Classes of Matriceswithin a Natural FrameworkJuergen G. BokowskiTechnische Universität, Darmstadt, Germany

Oriented matroids play the role ofmatrices in discrete geometry, whenmetrical properties, such as angles ordistances, are neither required noravailable. Thus they are of great use insuch areas as graph theory, combinatorialoptimization and convex geometry. Thecombination of concrete applications andcomputation, the profusion of illustrations,many in color, and the large number ofexamples and exercises make this an idealintroductory text on the subject. It willalso be valuable for self-study formathematicians and computer scientistsworking in discrete and computationalgeometry.Contents:1. Geometric matrix models i; 2. Geometric matrixmodels ii; 3. From matrices to rank 3 orientedmatroids; 4. Oriented matroids of arbitrary rank;5. From oriented matroids to face lattices; 6. Fromface lattices to oriented matroids i; 7. From facelattices to oriented matroids ii; 8. From orientedmatroids to matrices; 9. Computational syntheticgeometry; 10. Some oriented matroidapplications; 11. Some intrinsic oriented matroidproblems; Bibliography; Index.2006/338 pp./150 line diagrams/50 half-tones/150 figures/81 color figures84930-6/Hb/$75.00

Complexity andCryptographyAn IntroductionJohn TalbotUniversity College LondonDominic WelshUniversity of Oxford

Cryptography plays a crucial role in manyaspects of today’s world, from internetbanking and e-commerce to e-mail andweb-based business processes.Understanding the principles on which itis based is an important topic thatrequires a knowledge of bothcomputational complexity and a range oftopics in pure mathematics. This bookprovides that knowledge, combining aninformal style with strong proofs of thekey results to provide an accessibleintroduction. It includes many examplesand exercises, and is based on a highlysuccessful course developed and taughtover many years.Contents:1. Basics of cryptography; 2. Complexity theory; 3.Non-deterministic computation; 4. Probabilisticcomputation; 5. Symmetric cryptosystems; 6. One-way functions; 7. Public key cryptography; 8.Digital signatures; 9. Key establishment protocols;10. Secure encryption; 11. Identification schemes;Appendices; Bibliography; Index.2006/304 pp./172 exercises85231-5/Hb/$95.0061771-5/Pb/$50.00

Introduction to CodingTheoryRon RothTechnion–Israel Institute of Technology, Haifa“[T]his volume is a most welcomeaddition. It has many features that aredistinctive and it is clear from theapproach and treatment of the keytopics that it has been well tested asa course text. These features includethe extensive collections ofinteresting and nontrivial problems atthe end of chapters, the clear andinsightful explanations of some of thedeeper aspects of the subject and theextensive, interesting, and usefulhistorical notes on the developmentof the subject...This is an excellentvolume that will reward theparticipants in any course that uses itwith a deep understanding andappreciation for the subject.”Ian F. Blake, University of Toronto

Contents:Preface; 1. Introduction; 2. Linear codes; 3.

Introduction to finite fields; 4. Bounds on theparameters of codes; 5. Reed-Solomon codes andrelated codes; 6. Decoding of Reed-Solomoncodes; 7. Structure of finite fields; 8. Cyclic codes;9. List decoding of Reed-Solomon codes; 10.Codes in the Lee metric; 11. MDS codes; 12.Concatenated codes; 13. Graph codes; 14. Trelliscodes and convolutional codes; Appendix A.Basics in modern algebra; Bibliography; List ofsymbols; Index.2006/578 pp./66 line diagrams/12 tables/348exercises/105 worked examples84504-1/Hb/$75.00

An Introduction toProgramming withMathematica®3rd EditionPaul R. WellinWolfram Research Inc., IllinoisRichard J. GaylordSamuel N. KaminUniversity of Illinois, Urbana-Champaign“Essential...a welcome addition to theliterature. The choice of topics andtheir presentation are lucidly informedby considerable experience. Thewriting style is straightforward andclear. The authors stick resolutely totheir goal of producing anintroductory text, not a completetreatment, on programming inMathematica. As such it is highlysuccessful, full of useful examples thatshow how the ideas can beimmediately and fruitfully exploited.”The Mathematica Journal

Contents:1. An introduction to Mathematica; 2. TheMathematica language; 3. Lists; 4. Functionalprogramming; 5. Procedural programming; 6.Rule-based programming; 7. Recursion; 8.Numerics; 9. Graphics programming; 10. Front-end programming; 11. Examples and applications;12. Writing packages; Appendix A. Howexpressions are evaluated; Appendix B.Debugging.2005/570 pp./102 line diagrams/21 half-tones/22 tables/234 exercises84678-1/Hb/$75.00

Mathematics





General Interest

The New PhysicsFor the Twenty-First Century2nd EditionEditorGordon Fraser“It is written at a level that can bedigested by eager undergraduates butwill also be instructive to experiencedphysicists.... [A] good value.”Physics World

Contents and Contributors:Introduction G. Fraser; Part I. Matter and theUniverse: 1. Cosmology W. Freedman and R. Kolb;2. Gravity R. Adler; 3. Astrophysics A. Dar; 4.Particles and the standard model C. Quigg; 5.Superstrings M. Green; Part II. Quantum Matter:6. Atoms and photons C. Cohen-Tannoudji and J.Dalibard; 7. The quantum world of ultra-coldatoms C. Foot and W. Phillips; 8. Superfluidity H.Hall; 9. Quantum phase transitions S. Sachdev;Part III. Quanta in Action: 10. Quantumentanglement A. Zeilinger; 11. Quanta, ciphersand computers A. Ekert; 12. Small-scale structureand nanoscience Y. Imry; Part IV. Calculation andComputation: 13. Nonlinearity H. Abarbanel; 14.Complexity A. Politi; 15. Collaborative physics, E-science and the grid T. Hey and A. Trefethen; PartV. Science in Action: 16. Biophysics C. Safinya; 17.Medical physics N. Pavel; 18. Physics andmaterials R. Cahn; 19. Physics and society U.Amaldi.2006/556 pp./108 line diagrams/46 half-tones/179 color figures81600-9/Hb/$60.00

Out of the ShadowsContributions of Twentieth-CenturyWomen to PhysicsEditorsNina ByersGary WilliamsUniversity of California, Los Angeles“Out of the Shadows gives usfascinating accounts of some of theground-breaking achievements ofwomen physicists and astronomers,many of whom have never receivedthe recognition they truly deserve. Itis a much-needed book. In it, a readercan learn, for example, about howHenrietta Swan Leavitt provided thefirst method of measuring inter-galactic distances, and how CeciliaPayne-Gaposchkin, in studies ofspectra from stars, discovered thatmost of the luminous matter in theuniverse consists of hydrogen andhelium. Both of these were advancescrucial to the development ofastrophysics and modern cosmology.This wonderful book beautifullyillustrates that scientific talent has

absolutely nothing to do withgender.”Jerome I. Friedman, Nobel Prize in Physics,1990, Institute Professor Emeritus,Massachusetts Institute of Technology

2006/498 pp./10 line diagrams/40 half-tones82197-5/Hb/$35.00

The Mathematics ofBehaviorEarl HuntUniversity of Washington

This book illustrates how mathematics canbe used to understand human and animalbehavior, using examples in psychology,sociology, economics, ecology, and evenmarriage counseling.Contents:1. Introduction; 2. Applying probability theory toproblems in sociology and psychology; 3. Fromphysics to perception; 4. When systems evolveover time; 5. Non-Linear and chaotic systems; 6.Defining rationality - personal and group decisionmaking; 7. How to evaluate evidence; 8.Multidimensional scaling surveying the geographyof the mind; 9. The mathematical models behindpsychological testing; 10. How to know you askeda good question; 11. The construction ofcomplexity: how simple rules make the complexorganizations; 12. Connectionism: computationconnects mind and brain; 13. L’Envoi; References;Index.2006/368 pp./14 tables85012-6/Hb/$80.0061522-4/Pb/$34.99

Speaking about ScienceA Manual for Creating ClearPresentationsScott MorganBarrett WhitenerPremiere Public Speaking, Washington, DC

This is a practical manual aimed atgraduate students, junior researchers,nervous professionals or clinicians whoare preparing to present talks at meetingsand academic conferences. This is animportant career skill for anyone in thesciences, and the book features step-by-step instruction for creating clear andcompelling presentations, from structuringa talk and developing effectivePowerPoint slides through delivery beforean audience.Contents:Introduction; 1. The basic problem with oralpresentations - and its solution: writing vs.speaking, presentation structure: the hour glassformat; 2. The first steps of preparation: findingthe take home message, identifying the mainquestion; 3. Selecting helpful images: the ‘moneyslide’, supporting slides, good slide, bad slide; 4.

Beginning and ending the presentation: commonground, the place to start, the completeintroduction, danger: introductory slides ahead,wrapping it up; 5. Titling the talk; 6. Delivery:stage fright, teaching vs. lecturing, three steps forpresenting data, the mechanics of being heard,accents and mannerisms, what to rehearse; 7.Fielding questions: laying the groundwork for Q &A, Q & A basics, worst-case scenarios; 8. The jobinterview: what they will ask, radio science; 9. Themedia interview: the basics, getting ready,television interviews, follow-up; 10. Making clearposters: organizing a poster, conducting thesession; 11. In closing; Appendices.2006/136 pp./32 color figures86681-2/Hb/$60.0068345-9/Pb/$22.99

Building a SuccessfulCareer in ScientificResearchA Guide for PhD Students andPostdocsPhil DeeFrom PhD student to post-doc, Phil Deehas been sharing his career experienceswith fellow scientists in his regular andacclaimed Science Next Wave columnsince 2000. Now his invaluable andentertaining advice is available in thiscompact warts-and-all guide to gettingyour science PhD and subsequent post-doctoral employment as a researcher. Deeoffers you the inside track on what life inthe lab is really like with down-to-earthsuggestions for handling personalrelationships in science, maintaining yourmorale, or designing a good poster.Contents:Foreword; Introduction; Part I. The First Couple ofYears: 1. Choosing and handling your PhDadviser; 2. Motivation, time management andmultitasking; 3. Handling the literature; 4. Reportwriting; 5. Powerful presentations; Part II. The Endof the Beginning: 6. Writing papers and abstracts;7. Conferences and poster presentations; 8.Writing and defending your thesis; 9. Coping withpressure and stress; Part III. The Transition toPostdoctoral Research: 10. The transition fromgraduate student to post-doc; 11. Collaborationand visiting other labs; 12. Supervising students;13. Teaching; 14. Writing grant proposals andfellowship applications; Part IV. Making it inScience: 15. Culturing your image; 16. You andyour big ideas; 17. Planning for a permanent job;18. Do you have Principal Investigator (PI)potential?; Epilogue; Web-links; Index.2006/140 pp./2 line diagrams/1 half-tone85191-2/Hb/$70.0061740-5/Pb/$24.99

Mathematics

30Call 1-800-872-7423 • Fax 845-353-4141

Playfair’s Commercialand Political Atlas andStatistical BreviaryWilliam PlayfairIntroduction byHoward WainerNational Medical Examiners Board, Philadelphia, PAIan SpenceUniversity of Toronto“Although Edward Tufte and othershave noted Playfair’s role as theleading originator of modernstatistical graphics, access to his workhas heretofore been limited. FinallyPlayfair can speak for himself:Facsimiles of two of his mostimportant works - the 1801 edition ofThe Commercial and Political Atlas,and The Statistical Breviary of thesame year - have now been publishedin one small, affordable volume. Thevision that emerges from Playfair’spages is one of startling clarity andforesight. Even those who have seensamples of his charts...will find newtreasures here, all in color and someon foldout pages. The facsimiles areprefaced by a lively introduction inwhich the editors - [Howard] Wainerand psychologist Ian Spence - give usa glimpse of the work’s creator andhis times.”American Scientist

A scientific revolution began at the end ofthe 18th century with the creation andpopularization of the graphic display ofdata by Scottish inventor William Playfair,who introduced the line graph, bar chart,and pie chart into statistics. Hisremarkable Atlas demonstrated how muchcould be learned if one plotted datagraphically and looked for suggestivepatterns to provide evidence for pursuingresearch. In the Statistical Breviary,Playfair invented the pie chart andexpanded upon this concept to facilitatethe comparison of the resources ofEuropean countries. Playfair’s work hasgreat relevance to contemporary science,but finding copies of his original versionsis very difficult. This re-issuance of two ofhis classic works, with new explanatorymaterial, allows access to his wisdom forthe first time in two centuries. In fullcolor exactly as Playfair hand-colored theoriginal, this volume includes exactduplicates of the third edition of hisclassic Atlas as well as the StatisticalBreviary. An additional feature is theinclusion of annotations and an extensivebiography of the remarkable inventor.2005/248 pp.85554-3/Hb/$39.99

Archytas of TarentumPythagorean, Philosopher andMathematician KingCarl HuffmanDePauw University, Indiana“Huffman gives readers the clearestpicture yet of this important thinkerabout whom Aristotle wrote morebooks than about anyone else. Highlyrecommended.”Choice

Archytas of Tarentum was a central figurein fourth-century Greek life and thoughtand the last great philosopher in the earlyPythagorean tradition. This first extensivestudy of Archytas’ work in any languagepresents a radically new interpretation ofhis significance for fourth-century Greekthought and his relationship to Plato, aswell as a full commentary on all thefragments and testimonia.2005/682 pp./5 figures83746-4/Hb/$180.00

Social Choice and theMathematics ofManipulationAlan D. TaylorUnion College, New York“...until recently there has been aproblem facing mathematicians whoare interested in learning about [themathematics of elections]...I ampleased to say that this is no longerthe case, as Alan D. Taylor’s recentlyreleased Social Choice and theMathematics of Manipulation fitsthis bill perfectly.”MAA Reviews

Honesty in voting is not always the bestpolicy. This is a book for mathematicians,political scientists, economists, andphilosophers who want to understandhow it is impossible to devise areasonable voting system in which voterscan never gain by submitting adisingenuous ballot. The book requires noprerequisites except a willingness tofollow rigorous mathematical arguments.Contents:1. Introduction; 2. The Gibbard-Satterthwaitetheorem; 3. Additional results for single-valuedelections; 4. The Duggan-Schwartz theorem; 5.Additional results for multi-valued elections; 6.Ballots that rank sets; 7. Elections with outcomesthat are lotteries; 8. Elections with variableagendas; References; Index.OutlooksCo-published with the MAA2005/190 pp./3 line diagrams/80 exercises81052-3/Hb/$70.0000883-2/Pb/$24.99

PhilosophicalPerspectives on InfinityGraham OppyMonash University, Victoria

Exploring philosophical questions aboutinfinity, Graham Oppy examines how theinfinite lurks everywhere, both in scienceand in our ordinary thoughts about theworld. He also analyzes the many puzzlesand paradoxes that follow in the train ofthe infinite, addressing such simplenotions as counting, adding, andmaximizing present serious difficulties.Other topics examined include the natureof space and time, infinities in physicalscience, infinities in theories of probabilityand decision, the nature of part/wholerelations, mathematical theories of theinfinite, and infinite regression andprinciples of sufficient reason.2006/334 pp./1 table86067-9/Hb/$75.00

The Historical Statisticsof the United States 5 Volume SetMillennial EditionEditorsSusan B. CarterScott Sigmund GartnerMichael R. HainesAlan L. OlmsteadRichard SutchGavin Wright“For starters, it weighs 29 pounds. Ithas five volumes. And it’s denselypacked with more than a millionnumbers that measure America inmind-boggling detail, from theaverage annual precipitation in SweetSprings, Mo., to the wholesale price ofrice in Charleston S.C., in 1707...Thenew edition, which sells for $825 andis also available in an online version,is a gold mine for scholars, studentsand assorted nerds and numberscrunchers...”Sam Roberts, The New York Times

Historical Statistics of the UnitedStates, Millennial Edition is amonumental work of collaborativescholarship providing a comprehensivecompendium of statistics from over 1,000sources recording every aspect of thehistory of the United States.To learn more about HistoricalStatistics of the United States, visithttp://www.cambridge.org/hsus81791-9/5 Hardback books/$990.00Please e-mail [email protected] for a freetrial of the online edition.

Mathematics


All individual orders must be prepaid or charged on American Express, VISA or MasterCard (libraries excepted). Books are onlyavailable for shipment within North America. The use of a credit card will expedite your order. It allows us to process your order morequickly and you are only charged for the book(s) at the time of shipment. Any book(s) not yet published, or temporarily out of stock, will becharged only when the book(s) becomes available and is in the process of being shipped. Residents of New York and California, please addappropriate sales tax. Canadian customers: books shipped to Canadian addresses will be billed in CAD $ (our CAD $ price plus 6%GST). We ask that Canadian customers pay with a credit card. Shipping charges in North America are $6.00 for the first book; $1.75for each additional book. Includes UPS delivery for most domestic orders. Special subscription discounts cannot be applied to previously paidand processed orders. Cambridge ISBN prefix is 0-521. Please allow 3-4 weeks for delivery. ALL PRICES SUBJECT TO CHANGE.

__ 863201 Ambrosetti/Nonlin App Semilinear Elliptic Prob..........Hb $80.00*

__ 848873 Anderson/Automata Theory Mod Application............Hb $99.00

__ 613248 Anderson/Automata Theory Mod Application............Pb $45.00

__ 68045X Angeleri Hügel/Happel/Kra/Handbook of Tilting .......Pb $80.00

__ 842050 Antonelli/Grounded Cons Defeasible Logic................Hb $55.00

__ 780780 Armitage/LMSST: Elliptic Functions ............................Hb $90.00

__ 785634 Armitage/LMSST: Elliptic Functions ............................Pb $42.99

__ 58423X Assem/Skowronski/Simson/LMSST: ElementsRepresent Thry v1 ..............................................Hb $90.00

__ 586313 Assem/Skowronski/Simson/LMSST: ElementsRepresent Thry v1 ..............................................Pb $45.00

__ 855640 Baldick/Applied Optimization ....................................Hb $90.00

__ 844932 Barnsley/SuperFractals ...............................................Hb $35.00

__ 81362X Beardon/Algebra and Geometry ................................Hb $90.00

__ 890497 Beardon/Algebra and Geometry ................................Pb $39.99

__ 860695 Becker/Becker/Schwarz/String Theory and M-Theory..Hb $80.00

__ 853109 Bennett/Lagrangian Fluid Dynamics ...........................Hb $95.00

__ 853877 Benson/Music: A Mathematical Offering ...................Hb $90.00*

__ 619998 Benson/Music: A Mathematical Offering ...................Pb $42.99*

__ 867282 Bertoin/Random Fragment Coagul Process ................Hb $65.00

__ 825652 Bhattacharya/Random Dynamical Systems .................Hb $90.00*

__ 532728 Bhattacharya/Random Dynamical Systems .................Pb $45.00*

__ 831660 Bobrowski/Func Anly Prob Stoch Processes................Hb $95.00

__ 539374 Bobrowski/Func Anly Prob Stoch Processes................Pb $50.00

__ 849306 Bokowski/Computational Oriented Matroids .............Hb $75.00

__ 872286 Bollobás/The Art of Mathematics...............................Hb $85.00

__ 693950 Bollobás/The Art of Mathematics...............................Pb $34.99

__ 872324 Bollobás/Percolation ..................................................Hb $75.00

__ 846153 Bombieri/Heights in Diophantine Geometry...............Hb $130.00

__ 847540 Borodovsky/Prob Sol Biological Sequence Anly ..........Hb $85.00

__ 612306 Borodovsky/Prob Sol Biological Sequence Anly ..........Pb $39.99

__ 849918 Bovier/Statistical Mech Disordered Sys .......................Hb $80.00

__ 864399 Brannan/First Course Mathematical Analysis..............Hb $90.00

__ 684242 Brannan/First Course Mathematical Analysis..............Pb $50.00

__ 865654 Brualdi/Combinatorial Matrix Classes.........................Hb $110.00

__ 872502 Butler/Saddlepoint Approx with Application ..............Hb $80.00*

__ 821975 Byers/Out of the Shadows .........................................Hb $35.00

__ 694698 Campbell et al/Groups St Andrews 2005 Vol 1..........Pb $75.00*

__ 694701 Campbell et al/Groups St Andrews 2005 Vol 2..........Pb $75.00*

__ 851386 Carter/Lie Algebras Finite and Affine Type .................Hb $80.00

__ 817919 Carter et al/Hist Stats USA Mill Ed 5 Vol Set...............Wb $990.00

__ 866960 Cartier/Functional Integration....................................Hb $140.00

__ 685680 Castillo/Methods in Banach Space Theory..................Pb $75.00

__ 841089 Cesa-Bianchi/Prediction, Learning, and Games ..........Hb $65.00

__ 853680 Chavel/Riemannian Geometry 2ed ............................Hb $95.00

__ 619548 Chavel/Riemannian Geometry 2ed ............................Pb $45.00

__ 838282 Chen/Matrix Precond Tech Applications ....................Hb $95.00

__ 853370 Cohn/Free Ideal Rings Local General Ring ..................Hb $140.00

__ 848164 Cojocaru/Intro Sieve Methods Applications................Hb $90.00

__ 612756 Cojocaru/Intro Sieve Methods Applications................Pb $39.99

__ 861705 Cornuejols/Optimization Methods in Finance.............Hb $70.00

__ 677750 Coughlan/Dodd/Gripaios/The Ideas of ParticlePhysics 3ed ........................................................Pb $50.00

__ 866731 Cox/Principles of Statistical Inference.........................Hb $80.00

__ 685672 Cox/Principles of Statistical Inference.........................Pb $34.99

__ 856035 Cristianini/Intro Computational Genomics .................Hb $120.00

__ 671914 Cristianini/Intro Computational Genomics .................Pb $35.00

__ 851912 Dee/Build Success Career Sci Research.......................Hb $70.00

__ 617405 Dee/Build Success Career Sci Research.......................Pb $24.99

__ 863708 Dey/Curve and Surface Reconstruction ......................Hb $65.00

__ 858410 Dine/Supersymmetry and String Theory .....................Hb $80.00

__ 86092X Do/Müller/Vannucci/Bayesian Infer Gene ExpProteomics .........................................................Hb $75.00

__ 858038 Dorofeev/Statistics Real-Life Sample Surveys ..............Hb $99.00

__ 674654 Dorofeev/Statistics Real-Life Sample Surveys ..............Pb $45.00

__ 861977 Doyle/Extending Mechanics Minds ............................Hb $95.00

__ 681626 Drazin/The Navier-Stokes Equations...........................Pb $50.00

__ 866561 Durrett/Random Graph Dynamics..............................Hb $55.00

__ 68207X Edelsbrunner/Geometry Topology Mesh Generation..Pb $29.99

__ 860393 Everitt/Cambridge Dictionary Statistics 3ed................Hb $90.00

__ 690277 Everitt/Cambridge Dictionary Statistics 3ed................Pb $40.00

__ 860687 Fathi/Dynamical Systems ...........................................Hb $110.00

__ 845076 Fecko/Diff Geometry Lie Grp Physicists ......................Hb $75.00

__ 836573 Feldman/The Text Mining Handbook .........................Hb $70.00

__ 846226 Feller/The Lévy Laplacian ...........................................Hb $70.00

__ 816009 Fraser/The New Physics 2ed.......................................Hb $60.00

__ 854830 Freedman/Statistical Models ......................................Hb $80.00

__ 671051 Freedman/Statistical Models ......................................Pb $34.99

__ 801648 Galperin et al/Harmonic Superspace ..........................Hb $120.00

__ 020425 Galperin et al/Harmonic Superspace ..........................Pb $43.00

__ 835313 Gannon/Moonshine beyond the Monster ..................Hb $130.00

__ 866804 Gardner/Geometric Tomography 2ed ........................Hb $140.00

__ 684935 Gardner/Geometric Tomography 2ed ........................Pb $70.00

__ 470188 Garnett/Harmonic Measure .......................................Hb $110.00

__ 863678 Garson/Quantified Modal Logic Philosophers.............Hb $80.00

__ 682290 Garson/Quantified Modal Logic Philosophers.............Pb $34.99

__ 861039 Gille/Cen Simp Algebras Galois Cohomology.............Hb $75.00

__ 837715 Goldfeld/Automorph For L-Funct Group GL(n,R)........Hb $90.00

__ 848628 Goodman/Pach/Welzl/Combinatorial Computat .......Hb $80.00

__ 826780 Gregory/Classical Mechanics .....................................Hb $120.00

__ 534097 Gregory/Classical Mechanics .....................................Pb $60.00

__ 864704 Gubner/Prob Rand Proc Elect Comp Eng ...................Hb $80.00

MD6MATH2

Call 1-800-872-7423 or fax (845) 353-4141 • Log on to: www.cambridge.org/us

New and Forthcoming Titles in MathematicsOrder Form

Mathematics

Qty. List Qty. List

__ 832209 Haccou/Jagers/Vatutin/Branching Processesin Biology...........................................................Hb $100.00

__ 810957 Harkleroad/The Math behind the Music.....................Hb $70.00

__ 009359 Harkleroad/The Math behind the Music.....................Pb $24.99

__ 857899 Hendricks/Mainstream and Formal Epistemology .......Hb $70.00

__ 792118 Hesthaven/Gottlieb/Gottli/Spectral MethodsTime-Dependnt Prob ..........................................Hb $80.00*

__ 829518 Hobson/Efstathiou/Lasenby/General Relativity............Hb $70.00

__ 780292 Hoggar/Mathematics of Digital Images......................Hb $80.00

__ 842743 Howison/Practical Applied Mathematics ....................Hb $125.00

__ 603692 Howison/Practical Applied Mathematics ....................Pb $55.00

__ 817501 Hoyle/Pattern Formation............................................Hb $80.00

__ 837464 Huffman/Archytas of Tarentum.................................Hb $180.00

__ 674549 Humphreys/Modular Rep Finite Group Lie Type .........Pb $55.00

__ 850126 Hunt/The Mathematics of Behavior ...........................Hb $80.00

__ 615224 Hunt/The Mathematics of Behavior ...........................Pb $34.99

__ 850681 Hunt et al/A Guide to MATLAB 2ed...........................Hb $125.00

__ 615658 Hunt et al/A Guide to MATLAB 2ed...........................Pb $50.00

__ 818338 Ionin/Combinatorics of Symmetric Designs ................Hb $130.00

__ 782015 Ismail/Class Quant Ortho Polynom Variable ...............Hb $140.00

__ 820820 Kapusta/Finite-Temperature Field Theory 2ed ............Hb $140.00

__ 828627 Klein/Introductory Computational Physics..................Hb $65.00

__ 837030 Kleshchev/Linear Projective Rep Symmet Grps ...........Hb $80.00

__ 554748 Knight/Numerical Meth Compressible Flows..............Hb $95.00

__ 852676 Kogan/Intro Clust Large High Dimens Data................Hb $75.00

__ 617936 Kogan/Intro Clust Large High Dimens Data................Pb $29.99

__ 824761 Kushner/Lychagin/Rubtsov/EOM: Contact GeomNonlinear Dif Equ...............................................Hb $150.00

__ 862051 LaValle/Planning Algorithms ......................................Hb $60.00

__ 851556 Lewis/Lakshmivarahan/Dhal/Dynamic DataAssimilation .......................................................Hb $145.00

__ 82740X Loepp/Protecting Information....................................Hb $80.00

__ 534763 Loepp/Protecting Information....................................Pb $29.99

__ 683092 Lossen/Singularities and Computer Algebra...............Pb $75.00

__ 852404 Lucas/Molecular Models for Fluids .............................Hb $95.00*

__ 857295 Lynch/Emergence of Numerical Weather Pred ...........Hb $75.00

__ 861160 Maindonald/Data Analysis Graphics Using R 2ed .......Hb $80.00

__ 834414 Majda/Nonlin Dyn Stat Thy Basic Geo Flows ..............Hb $90.00

__ 863007 Marcus/Markov Gaussian Local Times........................Hb $90.00

__ 793475 Markoe/EOM: Analytic Tomography..........................Hb $100.00

__ 865549 Martin/Multiple Scattering.........................................Hb $140.00

__ 850649 Meyer/Poincaré Algebras Macauley Sys Ops ..............Hb $75.00

__ 866251 Michler/Theory Finite Simple Groups .........................Hb $145.00

__ 617979 Minsky/Sakuma/Series/Spaces of Kleinian Groups ......Pb $70.00

__ 849039 Montgomery/Multiplicative Number Theory I.............Hb $90.00

__ 613051 Moore/Global Analysis Foliated Spaces 2ed ...............Pb $39.99

__ 811562 Mora/EOM: 99 Solv Polynom Equations II ..................Hb $150.00

__ 866812 Morgan/Speaking about Science ...............................Hb $60.00

__ 683459 Morgan/Speaking about Science ...............................Pb $22.99

__ 607930 Morton/Numerical Solution Dif Equation 2ed ............Pb $45.00

__ 815134 Narasimhan/Geometric Spanner Networks ................Hb $80.00*

__ 858526 Nica/Lectures Comb Free Probability..........................Pb $80.00

__ 842425 Oitmaa/Hamer/Zheng/Series Exp MethLattice Models Hb $130.00

__ 858968 Oliveira/Writing Scientific Software............................Hb $85.00

__ 675952 Oliveira/Writing Scientific Software............................Pb $34.99

__ 591635 Olivieri/Large Deviations and Metastability.................Hb $150.00

__ 860679 Oppy/Philosophical Perspectives Infinity .....................Hb $75.00

__ 857007 Pachter/Algebraic Stats Comp Biology .......................Hb $60.00

__ 859034 Palsson/Systems Biology: Palsson ...............................Hb $75.00

__ 825695 Pang/Intro Computational Physics 2ed.......................Hb $70.00

__ 685087 Percival/Wavelet Method Time Series Analysis ...........Pb $50.00

__ 848865 Pinchover/Intro Partial Differential Equation...............Hb $120.00

__ 61323X Pinchover/Intro Partial Differential Equation...............Pb $50.00

__ 855543 Playfair/Wainer/Spence/Playfair Comm Pol Atlas ........Hb $39.99

__ 847648 Prosperetti/Computational Meth Multi Flow..............Hb $90.00*

__ 84889X Reid/Geometry and Topology ....................................Hb $95.00

__ 613256 Reid/Geometry and Topology ....................................Pb $45.00

__ 680441 Richardson/Weather Prediction Num Proc 2ed...........Pb $55.00*

__ 861535 Riley/Hobson/Bence/Mathematical Methods PhysicEng 3ed .............................................................Hb $160.00

__ 679710 Riley/Hobson/Bence/Mathematical Methods PhysicEng 3ed .............................................................Pb $80.00

__ 84729X Robin/Rodolphe/Schbath/DNA, Words and Models....Hb $55.00

__ 845041 Roth/Introduction to Coding Theory ..........................Hb $75.00

__ 685079 Sapiro/Geometric Partial Diff Equatn Image ...............Pb $39.99

__ 850150 Schilling/Measures, Integrals and Martingales............Hb $90.00

__ 615259 Schilling/Measures, Integrals and Martingales............Pb $50.00

__ 84472X Severini/Elements of Distribution Theory....................Hb $65.00

__ 836263 Shaw/Complex Analysis Mathematica .......................Hb $75.00

__ 833604 Shlapentokh/Hilbert’s Tenth Problem.........................Hb $99.00

__ 86478X Shonkwiler/Intro to Parallel Vector Sci Comput..........Hb $90.00

__ 683378 Shonkwiler/Intro to Parallel Vector Sci Comput..........Pb $39.99

__ 851548 Shoup/Comp Intro Number Theory Algebra...............Hb $55.00

__ 834503 Sinha/Quantum Stochastic Non Comm Geo ..............Hb $90.00*

__ 823560 Stephenson/Introduction to Circle Packing ................Hb $60.00

__ 695244 Street/Quantum Groups ............................................Pb $50.00*

__ 868130 Sturman/Ottino/Wiggins/Mathematical Foundationsof Mixing ...........................................................Hb $75.00

__ 847664 Suhov/Probability Statistics Example v1......................Hb $110.00

__ 612330 Suhov/Probability Statistics Example v1......................Pb $50.00

__ 688604 Swanson/Intgrl Closure Ideals Rings Modules ............Pb $65.00

__ 852315 Talbot/Complexity and Cryptography ........................Hb $95.00

__ 617715 Talbot/Complexity and Cryptography ........................Pb $50.00

__ 853869 Tao/Additive Combinatorics ......................................Hb $85.00

__ 850142 Tattersall/Elementary Number Theory 9 Chap 2ed .....Hb $85.00

__ 615240 Tattersall/Elementary Number Theory 9 Chap 2ed .....Pb $34.99

__ 810523 Taylor/Social Choice Mathematic Manipulatn ............Hb $70.00

__ 008832 Taylor/Social Choice Mathematic Manipulatn ............Pb $24.99

__ 839122 Tél/Chaotic Dynamics ................................................Hb $120.00

__ 547830 Tél/Chaotic Dynamics ................................................Pb $60.00

__ 689473 Topping/Lectures on the Ricci Flow............................Pb $45.00

__ 852242 Valtonen/The Three-Body Problem ............................Hb $80.00

__ 864852 Van Assche/Quantum Crypto Secret-Key Distill..........Hb $80.00

__ 861241 Velleman/How To Prove It 2ed ..................................Hb $75.00

__ 675995 Velleman/How To Prove It 2ed ..................................Pb $29.99

Qty. List Qty. List

MD6MATH2


*Forthcoming books may be ordered now for shipment when available. Price available only on this order form. Please allow three to four weeks for delivery.

__ 871441 Wagner/Hüttl/Sagaut/Large-Eddy Simulationfor Acoustics ......................................................Hb $110.00

__ 846781 Wellin/Gaylord/Kamin/Intro ProgrammingMathematica 3ed...............................................Hb $75.00

__ 868424 Wichura/Coord-Free Approach Linear Models ...........Hb $50.00

__ 840988 Xiong/Essential Bioinformatics ...................................Hb $110.00

__ 600820 Xiong/Essential Bioinformatics ...................................Pb $55.00

__ 855357 Zong/Cube-A Window Convex Geometry..................Hb $70.00

Journal SubscriptionsISSN 0962-4929Acta NumericaVolume 16 (2007)__Institutions $104.00 (reg. $130.00)__Individuals $104.00 (reg. $130.00)

ISSN 0963-5483Combinatorics, Probability and ComputingVolume 16 (2007)__Subscriptions $384.00 (reg. $480.00)

ISSN 0010-437XCompositio MathematicaVolume 143 (2007)__Subscriptions $1059.20 (reg. $1324.00)

ISSN 0143-3857Ergodic Theory and Dynamical SystemsVolume 27 (2007)__Subscriptions $836.80 (reg. $1046.00)

ISSN 0956-7925European Journal of Applied MathematicsVolume 18 (2007)__Institutions $500.00 (reg. $625.00)__Individuals $120.00 (reg. $150.00)

ISSN 0017-0895Glasgow Mathematical JournalVolume 49 (2007)__Subscriptions $212.80 (reg. $266.00)

ISSN 0022-1120Journal of Fluid MechanicsVolume 570-593 (2007)__Institutions $2560.00 (reg. $3200.00)__Individuals $780.00 (reg. $975.00)

ISSN 1474-7480Journal of the Institute of Mathematics of JussieuVolume 6 (2007)__Subscriptions $228.00 (reg. $285.00)

ISSN 0305-0041Mathematical Proceedings of the Cambridge Philosophical SocietyVolume 142-143 (2007)__Subscriptions $612.80 (reg. $766.00)

ISSN 0960-1295Mathematical Structures in Computer ScienceVolume 17 (2007)__Institutions $496.00 (reg. $620.00)__Individuals $136.00 (reg. $170.00)

ISSN 0269-9648Probability in the Engineering and Informational SciencesVolume 21 (2007)__Institutions $600.00 (reg. $750.00)__Individuals $120.00 (reg. $150.00)

ISSN 0013-0915Proceedings of the Edinburgh Mathematical SocietyVolume 50 (2007)__Subscriptions $253.60 (reg. $317.00)

ISSN 0308-2105 Proceedings of the Royal Society of Edinburgh: Section A MathematicsVolume 137 (2007)__Subscriptions $463.20 (reg. $579.00)

Qty. List Qty. List

MD6MATH2


*Forthcoming books may be ordered now for shipment when available. Price available only on this order form. Please allow three to four weeks for delivery.

REGISTER WITH US FOR ONLINE ACCESS TO THESE CAMBRIDGE JOURNALS

MD6MATH2

Call 1-800-872-7423 or fax (845) 353-4141

All individual orders must be prepaid or charged on American Express,VISA or MasterCard (libraries excepted). Books are only available forshipment within North America. The use of a credit card will expedite yourorder. It allows us to process your order more quickly and you are only charged forthe book(s) at the time of shipment. Any book(s) not yet published, or temporarilyout of stock, will be charged only when the book(s) becomes available and is in theprocess of being shipped. Residents of New York and California, please addappropriate sales tax. Canadian customers: books shipped to Canadianaddresses will be billed in CAD $ (our CAD $ price plus 6% GST). We askthat Canadian customers pay with a credit card. Shipping charges in NorthAmerica are $6.00 for the first book; $1.75 for each additional book. Includes UPSdelivery for most domestic orders. Special subscription discounts cannot be appliedto previously paid and processed orders. Cambridge ISBN prefix is 0-521. Pleaseallow 3-4 weeks for delivery. ALL PRICES SUBJECT TO CHANGE.

Name

Address

City State/Prov. Zip

o payment enclosed

Account no. Expires

Signature

o AMEX o Mastercard o Visa

100 Brook Hill DriveWest Nyack, NY 10994-9900

Total prices from above $_____________

Add Calif. sales tax $_____________

Canadians add 6% GST $_____________

Add shipping charge $_____________

Add N.Y. sales tax $_____________(applies to books and shipping charge)

Total $_____________

On prepaid orders, if book is not available:

q Hold my money and send book when ready.

WEB ORDERS www.cambridge.org/us

PHONE ORDERS U.S. & Canada: 9am-5pm (ET) Mon-Fri1-800-872-7423 $25 minimum

Mexico: 55 5519 59 39

FAX ORDERS Fax this form to: (845) 353-4141

MAIL ORDERS Cambridge University Press100 Brook Hill Drive West Nyack, NY 10994-9900

!

Online Sale:

20% Discount

on the best of the backlist


These titles and many

more are on sale at:


· lectures on the ricci flow peter topping university of warwick after describing the basic...

Documents