Cover image

Mathematics

www.cambridge.org/mathematics AUTUMN 2004

Pure MathematicsApplied MathematicsStatistics, Probabilityand FinanceGeneral andRecreational MathsJournalsRecent BestsellersReissued in Paperback

HighlightsKnots and LinksPeter Cromwell

• Detailed and accessible account of contemporarytopics and applications

• Lots of examples and exercises, with selectedsolutions available for lecturers

• Extensive knot and link tables for use as referencesource

➤ See page 3 for more information

Understanding ProbabilityHenk Tijms

• Explains famous probability problems so thatanyone can understand them

• Unique and innovative informal style, makesmathematics more accessible

• Written with wit and clarity➤ See page 1 for more information

Alfred Tarski: Life and LogicAnita Feferman and Solomon Feferman

• The first book ever written about Tarski’s life

• Covers his remarkable academic achievementsand his colourful private life

• An candid but affectionate portrayal of afascinating character

➤ See page 10 for more information

Cambridge University Press is the printing and publishing house of the University of Cambridge,and is the oldest press in the world. It is a charitable enterprise required by University Statute to devote itself to printing and publishing in the furtherance of the acquisition, advancement,conservation, and dissemination of knowledge in all subjects; to the advancement of education,religion, learning, and research; and to the advancement of literature and good letters.

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www.cambridge.org/mathematicsThis catalogue contains a selection of our most recent publishing in this area. Please visit ourwebsite for a full and searchable listing of all our titles in print and also an extensive range ofnews, features and resources. Our online ordering service is secure and easy to use.

Mathematics in IndustryInformation Site – MIIS

http://www.math-in-industry.org • MIIS is set to become the online resource of

choice for Industrial Mathematics. It will be awindow on what mathematics can do for industryand how industry can be a source of new ideasfor mathematics.

• The site, with free access and moderated content,includes a combination of pre-print server, and a growing facility that will matchmakemathematicians with scientists/engineers inuniversities and in industry. It also containsrecords of Study Groups Workshops reports.

• The site is a joint venture of Oxford Centre forIndustrial and Applied Mathematics, The SmithInstitute for Industrial Mathematics and SystemEngineering, and Cambridge University Press

ContentsAnalysis and Probability 1Foundations and Discrete

Mathematics 2Geometry and Topology 3Algebra and Number Theory 4Mathematical Physics and Biology 6Dynamics, Mechanics and

Differential Equations 7Statistics, Probability and Finance 8Numerics and Computer Science 10General and Recreational Maths 10Journals 11Recent Bestsellers 14Reissued in Paperback 15Author and Title Index 15

1

Analysis andProbability

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UnderstandingProbabilityChance Rules in Everyday LifeHenk TijmsVrije Universiteit, Amsterdam

Using lots of examples from lotteriesand casino games, the authordemystifies much of probability theory,including betting systems and thecentral limit theorem. This book is idealfor anyone who is not put off by somehigh-school algebra, and for all studentstaking a first course in probability.Contents: Part I. Probability in Action:1. Probability questions; 2. The law of largenumbers and simulation; 3. Probabilities ineveryday life; 4. Rare events and lotteries;5. Probability and statistics; 6. Chance treesand Bayes’ rule; Part II: 7. Foundations ofprobability theory; 8. Conditional probabilityand Bayes; 9. Basic rules for discreterandom variables; 10. Continuous randomvariables; 11. Jointly distributed randomvariables; 12. Multivariate normaldistribution; 13. Conditional distributions;14. Generating functions.

2004 228 x 152 mm 392pp 41 line diagrams 22 tables 279 exercises0 521 83329 9 Hardback £40.000 521 54036 4 Paperback £18.99Publication October 2004

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TEXTBOOK

AnalysisAn IntroductionRichard BealsYale University, Connecticut

This book is a text on mathematicalanalysis suitable for graduate studentsand advanced undergraduates. Itprovides an extensive introduction toproof and to rigorous mathematicalthinking. It contains many remarks andexamples and 500 exercises designed toprovide motivation, test understanding,help practice mathematical writing andexplore additional topics.Contents: 1. Introduction; 2. The real andcomplex numbers; 3. Real and complexsequences; 4. Series; 5. Power series;6. Metric spaces; 7. Continuous functions;8. Calculus; 9. Some special functions;10. Lebesgue measure on the line;11. Lebesgue integration on the line;12. Function spaces; 13. Fourier series;14. Applications of Fourier series;

15. Ordinary differential equations;Appendix: the Banach-Tarski paradox; Hintsfor some exercises.

2004 253 x 177 mm 264pp 11 line diagrams 502 exercises0 521 84072 4 Hardback £50.000 521 60047 2 Paperback £24.99Publication October 2004

TEXTBOOK

NEW EDITION

Complex AnalysisThe Geometric ViewpointSecond editionSteven G. KrantzWashington University, St Louis

Krantz develops material on classicalnon-Euclidean geometry and providesprofound applications, some of whichhave never appeared in print before. Thenew edition represents a considerablepolishing and re-thinking of the originalsuccessful volume. A minimum ofgeometric formalism is used to gain amaximum of geometric and analyticinsight.‘A first-rate book, which can be usedeither as a text or a reference.’ChoiceCarus Mathematical Monographs

2004 228 x 152 mm 238pp 38 line diagrams 10 exercises0 883 85035 4 Hardback £32.00Publication September 2004

NEW SERIES

Harmonic MeasureJohn B. GarnettUniversity of California, Los Angeles

and Donald E. MarshallUniversity of Washington

During the last two decades severalremarkable new results were discoveredabout harmonic measure in the complexplane. This book provides a carefulsurvey of these results and anintroduction to the branch of analysiswhich contains them. Many of theseresults, due to Bishop, Carleson, Jones,Makarov, Wolff and others, appear herein book form for the first time.New Mathematical Monographs, 2

2004 228 x 152 mm 488pp 126 line diagrams 1 table 190 exercises0 521 47018 8 Hardback c. £60.00Publication December 2004

NEW SERIES

Representation Theoryof Finite ReductiveGroupsMarc CabanesUniversité de Paris VII

and Michel EnguehardUniversité de Paris VII

A research level synthesis and referencein a key branch of modern algebra.New Mathematical Monographs, 1

2004 228 x 152 mm 454pp 144 exercises0 521 82517 2 Hardback £65.00

TEXTBOOK

An Introduction toNonlinear AnalysisMartin SchechterUniversity of California, Irvine

The techniques used to solve non-linearproblems differ greatly from thosedealing with linear features. Deriving allthe necessary theorems and principlesfrom first principles, this textbookshould give upper undergraduates andgraduate students a thoroughunderstanding using as littlebackground material as possible.Cambridge Studies in AdvancedMathematics, 95

2004 228 x 152 mm 342pp 148 exercises0 521 84397 9 Hardback c. £40.00Publication November 2004

TEXTBOOK

A Short Course onBanach Space TheoryN. L. CarothersBowling Green State University, Ohio

This is a short course on classicalBanach space theory. It is a naturalfollow-up to a first course on functionalanalysis. The topics covered have provenuseful in many contemporary researcharenas such as harmonic analysis, thetheory of frames and wavelets, signalprocessing, economics, and physics.London Mathematical Society Student Texts, 64

2004 228 x 152 mm 196pp0 521 84283 2 Hardback c. £46.000 521 60372 2 Paperback c. £18.99Publication December 2004

Analysis and Probability

Visit our website at www.cambridge.org

2

NEW EDITION

Basic HypergeometricSeriesSecond editionGeorge GasperNorthwestern University, Illinois

and Mizan RahmanCarleton University, Ottawa

This revised and expanded new editionwill continue to meet the needs for anauthoritative, up-to-date, self containedand comprehensive account of therapidly growing field of basichypergeometric series, or q-series. Somesections and exercises have been addedand the bibliography has been revisedto maintain its comprehensiveness.‘I love this book! It is great! This reallyis a book you can learn the subjectfrom. The plentiful exercises vary fromelementary to challenging with lots ofeach. Congratulations and thanks aredue the authors.’George Andrews, American Math. Monthly Encyclopedia of Mathematics and itsApplications, 96

2004 228 x 152 mm 456pp 3 line diagrams 296 exercises0 521 83357 4 Hardback £65.00Publication September 2004

LMS PUBLICATION

TranscendentalAspects of AlgebraicCyclesProceedings of the GrenobleSummer School, 2001Edited by S. Müller-StachJohannes Gutenberg Universität Mainz,Germany

and C. PetersUniversité de Grenoble

This is a collection of lecture notes fromthe Summer School ‘Cycles Algébriques;Aspects Transcendents, Grenoble 2001’.The lectures were intended for non-specialists so include many illustrativeexamples. This book will be ideal forgraduate students or researchersseeking a modern introduction to thestate-of-the-art theory in this subject.London Mathematical Society Lecture NoteSeries, 313

2004 228 x 152 mm 310pp 1 half-tone0 521 54547 1 Paperback £35.00

TEXTBOOK

Exploratory Examplesfor Real AnalysisJoanne Snowand Kirk WellerUniversity of North Texas

Supplementary exercises and projectsdesigned to facilitate students’understanding of the fundamentalconcepts in real analysis. They can beused to motivate a lecture; as a basisfor in-class activities; in lab sessions.Programs in Maple are supplied withfurther ancillary material available fromhttp://www.saintmarys.edu/~jsnow/maplets.html.Classroom Resource Material

2004 265 x 189 mm 150pp 60 line diagrams 37 tables 119 exercises0 883 85734 0 Paperback c. £18.99

Foundationsand DiscreteMathematics

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STUDENT EDITION

TEXTBOOK

The Theory ofInformation andCodingStudent EditionR. J. McElieceCalifornia Institute of Technology

Student edition of the classic text ininformation and coding theoryContents: 1. Entropy and mutualinformation; 2. Discrete memorylesschannels and their capacity-cost functions;3. Discrete memoryless sources and theirrate-distortion functions; 4. The Gaussianchannel and source; 5. The source-channelcoding theorem; 6. Survey of advancedtopics for part I; 7. Linear codes; 8. BCHGoppa, and related codes; 9. Convolutionalcodes; 10. Variable-length source coding;11. Survey of advanced topics for part II.Encyclopedia of Mathematics and itsApplications, 86

2004 228 x 152 mm 410pp 50 line diagrams 339 exercises0 521 83185 7 Hardback £35.00

From Error CorrectingCodes through SpherePackings toSemigroupsThomas ThompsonWalla Walla College, Washington

‘Thompson provides an excellentexample of the constant interactionbetween applied and theoreticalmathematics. Thompson’s work is first-rate historical research and good clearwriting. As a mathematics teacher, hehas gone to great pains to make thematerial understandable to anyonewith even a casual acquaintance withvector spaces and groups.’Annals of the History of ComputingCarus Mathematical Monographs

2004 188 x 126 mm 240pp 64 line diagrams 59 tables 48 figures0 883 85037 0 Paperback c. £17.99

Topics in AlgebraicGraph TheoryRobin J. WilsonThe Open University, Milton Keynes

and Lowell W. BeinekeIndiana University

The rapidly expanding area of algebraicgraph theory uses two differentbranches of algebra to explore variousaspects of graph theory: linear algebra(for spectral theory) and group theory(for studying graph symmetry). Otherbooks cover portions of this material,but none of these have such a widescope.Encyclopedia of Mathematics and itsApplications, 102

2004 234 x 156 mm 286pp 37 line diagrams 8 tables0 521 80197 4 Hardback £50.00Publication November 2004

Elements of theRandom WalkAn introduction for AdvancedStudents and ResearchersJoseph RudnickUniversity of California, Los Angeles

and George GaspariUniversity of California, Santa Cruz

Random walks have proven to be auseful model in understandingprocesses across a wide spectrum ofscientific disciplines. This self-containedtext will appeal to graduate studentswho need to understand theapplications of random walk techniques,as well as to established researchers.

2004 246 x 189 mm 346pp 102 line diagrams 2 half-tones 2 tables97 exercises0 521 82891 0 Hardback £40.00

Analysis and Probability / Foundations and Discrete Mathematics

3

LMS PUBLICATION

Linear Logic inComputer ScienceEdited by Paul RuetInstitut de Mathematiques de Luminy, Marseille

Thomas EhrhardInstitut de Mathematiques de Luminy, Marseille

Jean-Yves GirardInstitut de Mathematiques de Luminy, Marseille

and Phil ScottUniversity of Ottawa

The purpose of this book is to illustratethe use of linear logic in the applicationof proof theory to computer science. Itcontains tutorials introducing theapplication of linear logic, as well asadvanced contributions on recenttrends. It is an excellent introduction toresearch topics in the area.London Mathematical Society Lecture NoteSeries, 316

2004 228 x 152 mm 391pp 75 exercises150 figures0 521 60857 0 Paperback c. £40.00Publication October 2004

LMS PUBLICATION

SpectralGeneralizations of LineGraphsOn Graphs with LeastEigenvalue -2Drago CvetkovicUniverzitet u Beogradu, Yugoslavia

Peter RowlinsonUniversity of Stirling

and Slobodan SimicUniverzitet u Beogradu, Yugoslavia

This work discusses the three majortechniques for the study of line graphsand generalized line graphs, namely‘forbidden subgraphs’, ‘root systems’and ‘star complements’, and it aims tobring together all the principal results ofthis area. An important resource for allresearchers with an interest in algebraicgraph theory.London Mathematical Society Lecture NoteSeries, 314

2004 228 x 152 mm 310pp 47 line diagrams 9 tables0 521 83663 8 Paperback £35.00

The Covering PropertyAxiom, CPAA Combinatorial Core of theIterated Perfect Set ModelKrzysztof CiesielskiWest Virginia University

and Janusz PawlikowskiUniwersytet Wroclawski, Poland

This book explores a new axiom of settheory, CPA, the Covering PropertyAxiom. Replacing iterated forcingarguments with deductions from CPAsimplifies proofs, provides deeperinsight, and leads to new results.Researchers that use set theory in theirwork will find much of interest in thisbook.Cambridge Tracts in Mathematics, 164

2004 228 x 152 mm 200pp 3 line diagrams0 521 83920 3 Hardback £40.00Publication October 2004

CategoricalFoundationsSpecial Topics in Order, Topology,Algebra, and Sheaf TheoryEdited by Maria Cristina PedicchioUniversità degli Studi di Trieste

and Walter TholenYork University, Toronto

The book gives a categoricalintroduction to some of the key areas ofmodern mathematics. Researchers,teachers and graduate students inalgebra and topology familiar with thevery basic notions of category theorywill find all the advanced tools neededfor their subjects, without being forcedto study category theory for its ownsake. Rather, each of the eight largelyindependent chapters takes the readeron a journey through a particularsubject, showing the power andapplicability of the categoricalfoundations in each case.Encyclopedia of Mathematics and itsApplications, 97

2004 234 x 156 mm 440pp 300 line diagrams 6 tables 200 exercises0 521 83414 7 Hardback £60.00

Geometry andTopology

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TEXTBOOK

Knots and LinksPeter Cromwell

Peter Cromwell has written arichly illustrated textbook designed foradvanced undergraduate or beginninggraduate courses on knot theory. Theexposition is precise, yet engaging, withstrong motivation. Numerous examplesand exercises serve to help studentsthrough the material. Selected solutionsto the exercises will be available tolecturers.Contents: Preface. 1. Introduction;2. A topologist’s toolkit; 3. Link diagrams;4. Constructions and decompositions oflinks; 5. Spanning surfaces and genus;6. Matrix invariants; 7. The Alexander-Conway polynomial; 8. Rational tangles;9. More polynomials; 10. Closed braids andarc presentations; Appendix A. Knotdiagrams; Appendix B. Numerical invariants;Appendix C. Properties; Appendix D.Polynomials; Appendix E. Polygoncoordinates; Appendix F. Family properties;Bibliography; Index.

2004 247 x 174 mm 346pp 236 line diagrams 9 tables 118 exercises0 521 83947 5 Hardback £70.000 521 54831 4 Paperback £25.00Publication October 2004

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MathematicalIllustrationsA Manual of Geometry andPostScriptWilliam CasselmanUniversity of British Columbia, Vancouver

Combines a completely self-containedstep-by-step introduction to thegraphics programming languagePostScript with advice on what goesinto good mathematical illustrations,chapters showing how good graphicscan be used to explain mathematics,and a treatment of all the mathematicsneeded to make such illustrations. Themany small simple graphics projects canalso be used in courses in geometry,graphics, or general mathematics.

2004 234 x 156 mm 350pp 364 half-tones 50 exercises0 521 83921 1 Hardback c. £50.000 521 54788 1 Paperback c. £27.50Publication December 2004

Foundations and Discrete Mathematics / Geometry and Topology

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4

Introduction to CirclePackingThe Theory of Discrete AnalyticFunctionsKenneth StephensonUniversity of Tennessee

This book introduces a newmathematical topic known as ‘circlepacking’, taking the reader from firstdefinitions to late-breaking results. Itcan be enjoyed for visual appeal, theelegance of circle geometry, the cleantheory, classical connections, orapplications. There are intriguing, oftenvery accessible, open problemsthroughout the book and sevenAppendices on subtopics ofindependent interest.

2005 253 x 177 mm 400pp 190 line diagrams 10 colour plates0 521 82356 0 Hardback c. £35.00Publication February 2005

NEW EDITION

Multiply PeriodicFunctionsSecond editionH. F. Baker

This is a re-issue of the classic bookfrom H. F. Baker. It provides anelementary and self-containedintroduction to many of the leadingideas in the theory of multiply periodicfunctions, whilst illuminating theimportance of this theory in analyticalgeometry.Cambridge Mathematical Library

2004 228 x 152 mm 350pp0 521 54648 6 Paperback c. £30.00

Projective DifferentialGeometry Old andNewFrom the Schwazian Derivativeto Cohomology ofDiffeomorphism GroupsV. OvsienkoUniversité Lyon

and S. TabachnikovPennsylvania State University

Ideas of projective geometry keepreappearing in seemingly unrelatedfields of mathematics. This bookprovides a rapid route for graduatestudents and researchers to the frontiersof contemporary research in thisevergreen subject. Exercises play aprominent role: historical and culturalcomments relate the basic notions to abroader context.Cambridge Tracts in Mathematics, 165

2004 228 x 152 mm 256pp 53 line diagrams 35 exercises0 521 83186 5 Hardback c. £45.00Publication December 2004

A Sampler of Riemann-Finsler GeometryEdited by David BaoUniversity of Houston

Robert L. BryantDuke University, North Carolina

Shiing-Shen ChernUniversity of California, Berkeley

and Zhongmin ShenPurdue University, Indiana

Expository accounts of six importanttopics in Finsler geometry suitable for aspecial-topics graduate course indifferential geometry. They treat issuesrelated to volume, geodesics, curvatureand mathematical biology, and containa good variety of instructive examples.Each article will open the door to anactive area of geometrical research.Mathematical Sciences Research InstitutePublications, 50

2004 234 x 156 mm 350pp0 521 83181 4 Hardback c. £40.00Publication December 2004

Algebra andNumber Theory

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TEXTBOOK

Integer Partitions George AndrewsPennsylvania State University

and Kimmo ErikssonMälardalens Högskola, Sweden

The aim in this introductory textbook isto provide an accessible and wideranging introduction to partitions,without requiring anything more of thereader than some familiarity withpolynomials and infinite series. Manyexercises are included, together withsome solutions and helpful hints.Contents: 1. Introduction; 2. Euler andbeyond; 3. Ferrers graphs; 4. The Rogers-Ramanujan identities; 5. Generatingfunctions; 6. Formulas for partitionfunctions; 7. Gaussian polynomials;8. Durfee squares; 9. Euler refined;10. Plane partitions; 11. Growing Ferrersboards; 12. Musings; A. Infinite series andproducts; B. References; C. Solutions andhints.

2004 228 x 152 mm 132pp 58 line diagrams 5 tables 168 exercises0 521 84118 6 Hardback c. £40.000 521 60090 1 Paperback c. £15.99Publication October 2004

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TEXTBOOK

Exploratory GaloisTheoryJohn SwallowDavidson College, North Carolina

Combining a concrete perspective withan exploration-based approach,Exploratory Galois Theory developsGalois theory at an entirelyundergraduate level. The text groundsthe presentation in the concept ofalgebraic numbers with complexapproximations and assumes of itsreaders only a first course in abstractalgebra.Contents: 1. Preliminaries; 2. Algebraicnumbers, field extension, and minimalpolynomials; 3. Working with algebraicnumbers, field extension, and minimalpolynomial; 4. Multiply-generated fields;5. The Galois correspondence; 6. Someclassical topics; Historical note.

2004 253 x 177 mm 226pp0 521 83650 6 Hardback £45.000 521 54499 8 Paperback £19.99Publication October 2004

Equivalence andDuality for ModuleCategories with Tiltingand Cotilting for RingsRobert R. ColbyUniversity of Iowa

and Kent R. FullerUniversity of Iowa

This book provides a unified andinnovative approach to much of thetheories of equivalence and dualitybetween categories of modules that hastranspired over the last 45 years. Theauthors discuss the relationshipsbetween categories of modules over apair of rings that are induced by bothcovariant and contravariantrepresentable functors, in particular bytilting and cotilting theories.Cambridge Tracts in Mathematics, 161

2004 228 x 152 mm 162pp0 521 83821 5 Hardback £35.00

LMS PUBLICATION

General Theory of LieGroupoids and LieAlgebroidsKirill MackenzieUniversity of Sheffield

This a comprehensive modern accountof the theory of Lie groupoids and Liealgebroids, and their importance indifferential geometry. It covers muchwork done since the mid 1980s

Geometry and Topology / Algebra and Number theory

5

including the first treatment in bookform of Poisson groupoids, Liebialgebroids and double vector bundles.London Mathematical Society Lecture NoteSeries, 213

2005 228 x 152 mm 450pp0 521 49928 3 Paperback c. £42.00Publication January 2005

NoncommutativeRingsI. N. HersteinUniversity of Chicago

‘This beautiful book is the result of theauthor’s wide and deep knowledge ofthe subject matter combined with hisgift for exposition … those interestedin studying or reviewing its subjectmatter or looking for a roundedaccount of it could do no better thanchoosing this book.’AMS BulletinCarus Mathematical Monographs

2004 189 x 126 mm 200pp0 883 85015 X Hardback c. £20.00

Solving PolynomialEquation Systems IIMacaulay’s Paradigm andGröbner TechnologyTeo MoraUniversity of Genoa

The second volume of thiscomprehensive treatise focusses onBuchberger theory and its application tothe algorithmic view of commutativealgebra. Aiming to be a complete surveyon Gröbner bases and theirapplications, the book will be essentialfor all workers in commutative algebra,computational algebra and algebraicgeometry.Encyclopedia of Mathematics and itsApplications, 99

2004 234 x 156 mm 700pp0 521 81156 2 Hardback c. £80.00Publication December 2004

ALSO AVAILABLE

Solving Polynomial EquationSystems IThe Kronecker-Duval PhilosophyTeo MoraEncyclopedia of Mathematics and itsApplications, 88

2003 234 x 156 mm 438pp0 521 81154 6 Hardback £60.00

LMS PUBLICATION

Double Affine HeckeAlgebrasIvan CherednikUniversity of North Carolina, Chapel Hill

This book is a unique, essentially self-contained, monograph in a new field offundamental importance forRepresentation Theory, HarmonicAnalysis, Mathematical Physics, andCombinatorics. It is a major source ofgeneral information about the Doubleaffine Hecke algebra, also calledCherednik’s algebra, and its impressiveapplications to Knizhnik-Zamolodchikovequations, Macdonald polynomials,Fourier transforms, Gauss-Selbergintegrals, Verlinde algebras andGaussian sums. This book is designedfor mathematicians and physicists,experts and students, for those whowant to master the new double Heckealgebra technique.London Mathematical Society Lecture NoteSeries, 319

2004 228 x 152 mm 420pp 11 line diagrams0 521 60918 6 Paperback c. £35.00Publication December 2004

FORTHCOMING

Continuous andDiscrete OrthogonalPolynomialsMourad E. H. IsmailUniversity of South Florida

Families of orthogonal polynomials arisein many different areas ranging fromcombinatorics to statistics and physics.This is the first modern account of thesubject, written by one of world’sleading researchers in the area. Ismailcovers classical discrete and continuousq-orthogonal polynomials, as well asrelated areas and applications, e.g. toToda lattices and birth-and-deathprocesses.Encyclopedia of Mathematics and itsApplications, 98

2005 228 x 152 mm 500pp0 521 78201 5 Hardback c. £65.00

Lectures inContemporaryCommutative AlgebraEdited by Luchezar AvramovPurdue University, Indiana

Mark GreenUniversity of California, Los Angeles

Craig HunekeUniversity of Kansas

Karen E. SmithUniversity of Michigan, Ann Arbor

and Bernd SturmfelsUniversity of California, Berkeley

This book is based on lectures by sixinternationally known experts presentedat the 2002 MSRI introductoryworkshop on commutative algebra.These focus on the interaction ofcommutative algebra with other areasof mathematics, including algebraicgeometry, group cohomology andrepresentation theory, andcombinatorics, with all necessarybackground provided. Six shortcomplementary papers describing workat the research frontier are alsoincluded. The unusual scope and formatshould make the book invaluablereading for graduate students andresearchers interested in commutativealgebra and its various uses.Mathematical Sciences Research InstitutePublications, 51

2004 234 x 156 mm 300pp0 521 83195 4 Hardback c. £40.00

LMS PUBLICATION

Elements of theRepresentation Theoryof AssociativeAlgebrasTechniques of RepresentationTheoryVolume 1I. AssemUniversité de Sherbrooke, Canada

A. SkowronskiUniwersytet Mikolaja Kopernika, Poland

and D. SimsonUniwersytet Mikolaja Kopernika, Poland

The aim of this book is to provide anelementary but up-to-date introductionto the representation theory of algebras.Representation-finite andrepresentation-infinite cases are bothcovered in detail with many concreteexamples to illustrate the theory. Thetreatment is accessible to beginninggraduate students and researchers inrelated areas.London Mathematical Society Student Texts, 65

2004 228 x 152 mm 472pp0 521 58423 X Hardback c. £55.000 521 58631 3 Paperback c. £27.00Publication December 2004

Algebra and Number Theory

Visit our website at www.cambridge.org

6

LMS PUBLICATION

Structured RingSpectraEdited by Andrew BakerUniversity of Glasgow

and Birgit RichterRheinische Friedrich-Wilhelms-Universität Bonn

Within algebraic topology, theprominent role of multiplicativecohomology theories has led to a greatdeal of foundational research on ringspectra and in the 1990s this gave riseto significant new approaches toconstructing categories of spectra andring-like objects in them. This bookcontains some important newcontributions to the theory of structuredring spectra as well as survey papersdescribing these and relationshipsbetween them.London Mathematical Society Lecture NoteSeries, 315

2004 228 x 152 mm 240pp0 521 60305 6 Paperback £35.00Publication October 2004

MathematicalPhysics andBiology

NEW EDITION

A Guided Tour ofMathematical MethodsFor the Physical SciencesSecond editionRoel SniederColorado School of Mines

Provides a comprehensive tour of themathematical methods needed byPhysical Science students.From reviews of the first edition:‘… a splendid book, quite a delight tosee mathematical models from adifferent perspective … treatment isso smooth that it is hard to know atany instant whether one is learningnew tools or assimilating theapplications to interesting examples …excellent.’Donald de Cogan, International Journal ofNumerical Modelling

2004 247 x 174 mm 519pp 126 line diagrams 6 half-tones 6 tables0 521 83492 9 Hardback £30.00Publication September 2004

A Course in ModernMathematical PhysicsGroups, Hilbert Space andDifferential GeometryPeter SzekeresUniversity of Adelaide

Introduction to the major mathematicalstructures used in physics today,presenting the concepts and techniquesat a level suitable for advancedundergraduates and beginninggraduates. Includes numerous exercisesand worked examples, to test thereader’s understanding of the variousconcepts, as well as extending themescovered in the main text.

2004 247 x 174 mm 550pp 48 line diagrams 341 exercises0 521 82960 7 Hardback c. £35.00Publication December 2004

Topological SolitonsNicholas MantonUniversity of Cambridge

and Paul SutcliffeUniversity of Kent

This book introduces the main examplesof topological solitons in classical fieldtheories, discusses the forces betweensolitons, and surveys both static anddynamic multi-soliton solutions. It coverskinks in one dimension, lumps andvortices in two dimensions, monopolesand Skyrmions in three dimensions, andinstantons in four dimensions.Cambridge Monographs on MathematicalPhysics

2004 247 x 174 mm 506pp 76 line diagrams 7 tables0 521 83836 3 Hardback £70.00

The Interaction ofOcean Waves and WindP. A. E. JanssenEuropean Centre for Medium-Range WeatherForecasts, Reading

This is the first book to describe indetail the two-way interaction betweenwind and ocean waves. It will interestocean wave modellers, physicists andapplied mathematicians, and engineersinterested in shipping and coastalprotection.

2004 247 x 174 mm 310pp 73 line diagrams0 521 46540 0 Hardback £70.00Publication October 2004

A First Course inComputational Physicsand Object OrientedProgramming with C++David YevickUniversity of Waterloo, Ontario

Textbook and reference workon the application of C++ in scienceand engineering.

2004 246 x 189 mm 416pp 4 tables21 figures0 521 82778 7 Hardback c. £40.00Publication November 2004

Adaptive SpeciationEdited by Ulf DieckmannInternational Institute for Applied SystemsAnalysis, Austria

Michael DoebeliUniversity of British Columbia, Vancouver

Johan A. J. MetzRijksuniversiteit Leiden, The Netherlands

and Diethard TautzUniversität zu Köln

Adaptive Speciation clarifies howadaptive processes, rather thangeographic isolation, can causespeciation.Cambridge Studies in Adaptive Dynamics, 3

2004 228 x 152 mm 452pp 110 line diagrams 12 colour plates 9 tables0 521 82842 2 Hardback £60.00Publication September 2004

EvolutionaryConservation BiologyEdited by Régis FerrièreEcole Normale Supérieure, Paris

Ulf DieckmannInternational Institute for Applied SystemsAnalysis, Austria

and Denis CouvetMuséum National d’Histoire Naturelle, Paris

Presents an introduction to the newarea of evolutionary conservationbiology.Cambridge Studies in Adaptive Dynamics, 4

2004 228 x 152 mm 446pp 121 line diagrams 8 tables0 521 82700 0 Hardback £55.00

Mathematical Physics and Biology

7

Dynamics,Mechanics andDifferentialEquations

▼ FEATURE TITLE

NOW IN FRENCH, SPANISH ANDENGLISH, ALL ON ONE CD

Multimedia FluidMechanics –Multilingual VersionG. M. HomsyUniversity of California, Santa Barbara

K. S. BreuerBrown University, Rhode Island

S. HochgrebSandia National Laboratories, Peru

J. R. KoseffStanford University, California

B. R. MunsonIowa State University

K. G. PowellMichigan State University

C. R. RobertsonStanford University, California

S. T. ThoroddsenUniversity of Illinois

Multimedia Fluid Mechanics broke newground by providing a cross-platform,interactive, visual resource, of use andappeal to students and professionalalike. The revised issue takes advantageof developments in technology tobroaden the appeal by including, onone disk, versions in English, Spanishand French.‘Homsy and his colleagues have nowprovided us with a new and powerfulteaching aid … This CD is an ambitiousproject, and, in my view, it has beenaccomplished with remarkable success… I have no doubt that this CD-ROMshould be regarded as a ‘set text’ forviscous fluid mechanics courses at theundergraduate or starting graduatelevels.’J. M. Rallison, Journal of Fluid Mechanics

2004 0 521 60476 1 CD-ROM £15.99 + VAT

Modern DynamicalSystems andApplicationsEdited by M. BrinUniversity of Maryland, College Park

B. HasselblattTufts University, Massachusetts

and Y. PesinPennsylvania State University

This volume presents a wide crosssection of current research in the theoryof dynamical systems and containsarticles by leading researchers, includingseveral Fields medalists, in a variety ofspecialties. Major areas covered includehyperbolic dynamics, elliptic dynamics,mechanics, geometry, ergodic theory,group actions, rigidity, applications.

2004 253 x 177 mm 480pp0 521 84073 2 Hardback £55.00Publication November 2004

NEW EDITION

HydrodynamicStabilitySecond editionP. G. Drazinand W. H. ReidUniversity of Chicago

Hydrodynamic stability is offundamental importance in fluiddynamics and is concerned with thetransition from laminar to turbulentflow. This new edition of this celebratedintroduction differs principally by theinclusion of detailed solutions for theexercises, and by the addition of aForeword by Professor J. W. Miles.‘The work is undeniably of highscholarship, consummate accuracy andpenetrating insight … All specialists instability theory will be happy that twosuch authorities have found the time,and spared so few pains, to produce awork of such excellence.’NatureCambridge Mathematical Library

2004 228 x 152 mm 625pp 102 line diagrams 3 half-tones 9 tables81 exercises0 521 52541 1 Paperback £26.00

ComputationalMethods for Drops,Bubbles, andInterfacesG. TryggvasonWorcester Polytechnic Institute, Massachusetts

R. ScardovelliUniversità degli Studi, Bologna, Italy

and S. ZaleskiUniversité de Paris VI (Pierre et Marie Curie)

This graduate level book coversnumerical methods for the directsimulation of the Navier-Stokes

equations with interfaces. It recalls basictheory and experimental facts, describesnumerical methods in detail and detailsapplications such as simple flow arounddrops and bubbles, boiling, atomisation,splashing and cavitation.Cambridge Monographs on Applied andComputational Mathematics, 18

2005 228 x 152 mm 300pp 100 line diagrams0 521 78240 6 Hardback c. £50.00Publication January 2005

PlasticityA Treatise on Finite Deformationof Heterogeneous InelasticMaterialsSia Nemat-NasserUniversity of California, San Diego

Providing a basic foundation foradvanced graduate study and researchin solid mechanics, this treatise containsa systematic development of thefundamentals of finite inelasticdeformations of heterogeneousmaterials. The thorough treatmentmakes the book accessible to graduatestudents in solid mechanics and themechanics of materials.Cambridge Monographs on Mechanics

2004 247 x 174 mm 730pp 160 line diagrams 40 half-tones 50 tables200 figures0 521 83979 3 Hardback £80.00Publication September 2004

LMS PUBLICATION

Perturbation of theBoundary in Boundary-Value Problems ofPartial DifferentialEquationsD. Henry

Perturbation of the boundary is a ratherneglected topic in the study of partialdifferential equations, in part because itoften entails long and difficultcaluclations. Here the author carefullydiscusses a calculus that overcomes thecomputational morass, and he goes onto develop more general forms ofstandard theorems, which help answer awide range of problems involvingboundary perturbations.London Mathematical Society Lecture NoteSeries, 318

2004 228 x 152 mm 216pp 13 line diagrams0 521 57491 9 Paperback c. £35.00Publication December 2004

Dynamics, Mechanics and Differential Equations

For monthly email alerts visit www.cambridge.org/eservices

8

LMS PUBLICATION

Peyresq Lectures onGeometric Mechanicsand SymmetryEdited by James MontaldiUniversity of Manchester Institute of Scienceand Technology

and Tudor RatiuÉcole Polytechnique Fédérale, Lausanne

Geometric mechanics lies on the borderof pure and applied mathematics andincorporates such disciplines asdifferential geometry, Hamiltonianmechanics and integrable systems. Theeditors organised a summer school onGeometric Mechanics and Symmetryfrom which the main courses have beensummarised, to provide notes gearedtowards the graduate student.London Mathematical Society Lecture NoteSeries, 306

2005 228 x 152 mm 250pp0 521 53957 9 Paperback c. £32.00Publication January 2005

An Introduction toReaction-DiffusionTheoryDavid NeedhamUniversity of Reading

Rapidly developing research areas suchas mathematical biology, ecology,demography and chemistry oftendepend on underlying theory fromreaction and diffusion. Aimed at upper-undergraduate and MSc students, thisbook provides a solid grounding in themathematical ideas involved,supplementing these with numerousexamples to illustrate their application.Cambridge Texts in Applied Mathematics, 39

2005 228 x 152 mm 320pp0 521 83115 6 Hardback c. £65.000 521 53844 0 Paperback c. £24.95Publication May 2005

Well-Posed LinearSystemsOlof StaffansAbo Akademi University, Finland

Much of the material that the authorpresents is original and many resultshave never appeared in book formbefore. A comprehensive bibliographycompletes this work which will beindispensable to all working in systemstheory, operator theory, delay equationsand partial differential equations.Encyclopedia of Mathematics and itsApplications, 103

2004 234 x 156 mm 875pp 80 figures0 521 82584 9 Hardback c. £85.00Publication December 2004

Scattered DataApproximationHolger WendlandGeorg-August-Universität, Göttingen, Germany

A complete self-contained introductionto the theory of scattered dataapproximation. Written with graduatesand researchers in mind, the text bringstogether much of the necessarybackground material into a singletreatment and provides students withcomplete proofs to the theorydeveloped within.Cambridge Monographs on Applied andComputational Mathematics, 17

2005 228 x 152 mm 394pp 32 line diagrams 21 half-tones 53 figures0 521 84335 9 Hardback c. £50.00Publication January 2005

Statistics,Probability andFinance

▼ FEATURE SERIES

NEW SERIES

International Series onActuarial ScienceSeries Editors: John McCutcheonHeriot-Watt University

Mark DavisImperial College London

John HylandsStandard Life

Ragnar NorbergLondon School of Economics

H. PanjerWaterloo University

Andrew WilsonWatson Wyatt

Cambridge University Press is delightedto announce that, in conjunction withthe Institute of Actuaries and theFaculty of Actuaries, it is to establishthe International Series on ActuarialScience. This new series will containtextbooks for students taking courses inor related to actuarial science, as wellas more advanced works designed forcontinuing professional development orfor describing and synthesising research.It is planned that the series will be avehicle for publishing books that reflectchanges and developments in thecurriculum, that encourage theintroduction of courses on actuarialscience in universities, and that showhow actuarial science can be used in allareas where there is long-term financialrisk.

▼ FEATURE TITLE

NEW SERIES

Insurance Risk andRuinDavid DicksonUniversity of Melbourne

The book is ideal for a firstcourse in insurance risk theory. Itfocuses on major areas in this subject –aggregate claims distributions, ruintheory, utility theory, premiumcalculation principles and reinsuranceproblems. Numerous worked examplesare included and each chapter hasexercises for which outline solutions areprovided.Contents: 1. Probability distributions andinsurance applications; 2. Utility theory;3. Principles of premium calculation; 4. Thecollective risk model; 5. The individual riskmodel; 6. Introduction to ruin theory;7. Classical ruin theory; 8. Advanced ruintheory.International Series on Actuarial Science

2005 228 x 152 mm 250pp 50 line diagrams 95 exercises 40 figures0 521 84640 4 Hardback c. £35.00Publication January 2005

▼ FEATURE TITLE

TEXTBOOK

An Introduction toFinancial OptionValuationMathematics, Stochastics andComputationDesmond HighamUniversity of Strathclyde

This lively textbook provides anintroduction to financial optionvaluation for undergraduates armedwith a knowledge of first year calculus.Its approach gives equal weight toapplied mathematics, stochastics andcomputations. Contains stand-aloneMATLAB code to illustrate ideas andexamples using real stock market data.Solutions available from solutionsContents: 1. Introduction; 2. Optionvaluation preliminaries; 3. Randomvariables; 4. Computer simulation; 5. Assetprice movement; 6. Asset price model: partI; 7. Asset price model: part II;8. Black–Scholes PDE and formulas;9. More on hedging; 10. The Greeks;11. More on the Black–Scholes formulas;12. Risk neutrality; 13. Solving a nonlinearequation; 14. Implied volatility; 15. TheMonte Carlo method; 16. The binomialmethod; 17. Cash-or-nothing options;18. American options; 19. Exotic options;20. Historical volatility; 21. Monte Carlopart II: variance reduction by antitheticvariates; 22. Monte Carlo part III: variance

Dynamics, Mechanics and Differential Equations / Statistics, Probability and Finance

9

reduction by control variates; 23. Finitedifference methods; 24. Finite differencemethods for the Black–Scholes PDE.

2004 247 x 174 mm 296pp 120 exercises95 figures0 521 83884 3 Hardback £50.000 521 54757 1 Paperback £24.99

NEW SERIES

C++ Design Patternsand Derivatives PricingMark S. JoshiRoyal Bank of Scotland

The author shows therelevance and use of OOP to financialmathematics by describing how to pricederivatives to obtain reusable andextensible code. Those who know thebasics of C++ and mathematicalfinance, but are unclear how to useOOP to implement models, will welcomethis account.Mathematics, Finance and Risk, 2

2004 247 x 174 mm 214pp 38 exercises0 521 83235 7 Hardback £35.00

COMING IN 2005

VolatilityPerturbations inFinancial MarketsJean-Pierre FouqueNorth Carolina State University

George PapanicolaouStanford University, California

Ronnie SircarPrinceton University, New Jersey

and Knut SolnaUniversity of California, Irvine

Follow up to authors previous book onvolatility. Ideal for graduates andpractitioners.Mathematics, Finance and Risk, 3

2005 247 x 174 mm 300pp0 521 84358 8 Hardback c. £45.00Publication April 2005

COMING IN 2005

Continuous TimeApproach to FinancialVolatilityOle Barndorff-NielsenAarhus Universitet, Denmark

and Neil ShephardUniversity of OxfordMathematics, Finance and Risk, 4

2005 228 x 152 mm 450pp0 521 83440 6 Hardback c. £45.00Publication March 2005

Quantum FinancePath Integrals and Hamiltoniansfor Options and Interest RatesBelal E. BaaquieNational University of Singapore

This book is unique in that it applies themathematics and concepts of quantummechanics and quantum field theory tothe modelling of interest rates and thetheory of options. This pioneering workwill be of use to anyone working in thefield of finance and as a graduate text.

2004 247 x 174 mm 332pp 5 tables48 figures0 521 84045 7 Hardback c. £40.00Publication October 2004

The Geometry ofEfficient Fair DivisionJulius BarbanelUnion College, New York

The author focuses exclusively onabstract existence results, rather thanalgorithms, and on the geometricobjects that arise naturally in thiscontext. By examining the shape ofthese objects and the relationshipbetween them, he demonstrates severalresults concerning efficiency propertiessuch as Pareto maximality and fairnessproperties such as envy-freeness forpartitions.

2005 228 x 152 mm 320pp 73 line diagrams0 521 84248 4 Hardback c. £45.00Publication January 2005

Statistical Analysis ofStochastic Processes inTimeJ. K. LindseyUniversité de Liège, Belgium

This introduction to ways of modellingphenomena that occur over time isaccessible to anyone with a basicknowledge of statistical ideas. Examplesfrom physical, biological and socialsciences show how the principles canbe put into practice: data sets and Rcode for these are supplied on author’swebsite.Cambridge Series in Statistical andProbabilistic Mathematics, 14

2004 253 x 177 mm 350pp0 521 83741 3 Hardback £40.00Publication September 2004

Bayesian Logical DataAnalysis for thePhysical SciencesPhil GregoryUniversity of British Columbia, Vancouver

Increasingly, researchers in manybranches of science are coming intocontact with Bayesian statistics orBayesian probability theory. This bookprovides a clear exposition of theunderlying concepts with large numbersof worked examples and problem sets.Background material is provided inappendices and supportingMathematica notebooks are available.Contents: 1. Role of probability theory inscience; 2. Probability theory as extendedlogic; 3. The how-to of Bayesian inference;4. Assigning probabilities; 5. Frequentiststatistical inference; 6. What is a statistic?;7. Frequentist hypothesis testing;8. Maximum entropy probabilities;9. Bayesian inference (Gaussian errors);10. Linear model fitting (Gaussian errors);11. Nonlinear model fitting; 12. MarkovChain Monte Carlo; 13. Bayesian spectralanalysis; 14. Bayesian inference (Poissonsampling); Appendix A. Singular valuedecomposition; Appendix B. Discrete FourierTransform; Appendix C. Difference in twosamples; D. Poisson ON/OFF details;Appendix E. Multivariate Gaussian frommaximum entropy.

2004 247 x 174 mm 488pp 128 line diagrams 4 half-tones 74 exercises132 figures0 521 84150 X Hardback c. £40.00Publication November 2004

Longitudinal and PanelDataAnalysis and Applications in theSocial SciencesEdward W. FreesUniversity of Wisconsin, Madison

This text introduces the subject’sfoundations at a level suitable forquantitatively oriented graduate socialscience students and individualresearchers. It emphasizes mathematicaland statistical fundamentals but alsodescribes substantive applications fromacross the social sciences, showing thebreadth and scope that these modelsenjoy, and includes real-world data setsand software programs in SAS andStata.

2004 228 x 152 mm 488pp0 521 82828 7 Hardback £50.000 521 53538 7 Paperback £23.99Publication October 2004

Statistics, Probability and Finance

Visit our website at www.cambridge.org

10

Dynamics of MarketsEconophysics and FinanceJoseph L. McCauleyUniversity of Houston

This text introduces a new empirically-based model of financial marketdynamics that explains volatility, pricesoptions correctly and clarifies theinstability of financial markets. Theemphasis is on understanding how realmarkets behave, not how theyhypothetically ‘should’ behave.

2004 247 x 174 mm 226pp 22 line diagrams 1 half-tone0 521 82447 8 Hardback £45.00

Data EnvelopmentAnalysisTheory and Techniques forEconomics and OperationsResearchSubhash C. RayUniversity of Connecticut

This book deals with the method ofdata envelopment analysis that usesmathematical programming techniquesto obtain measures of efficiency ofindividual forms from their observedinput and output quantities. This permitssetting up realistic input-output targetsfor the firms’ managers.

2004 228 x 152 mm 366pp 48 line diagrams 49 tables0 521 80256 3 Hardback £50.00

Numerics andComputerScience

Advances in EllipticCurve CryptographyI. BlakeHewlett-Packard Laboratories, Palo Alto,California

G. SeroussiHewlett-Packard Laboratories, Palo Alto,California

and N. SmartHewlett-Packard Laboratories, Bristol

Since the appearance of the authors’first volume on elliptic curvecryptography in 1999 there has beentremendous progress in the field. Thissecond volume addresses theseadvances and brings the reader up todate. Prominent contributors to theresearch literature in these areas haveprovided articles that reflect the currentstate of these important topics.

London Mathematical Society Lecture NoteSeries, 317

2004 228 x 152 mm 304pp 7 line diagrams 11 tables0 521 60415 X Paperback c. £29.00Publication November 2004

Topology forComputingAfra J. ZomorodianStanford University, California

This concise, self-contained introductionto topology and Morse theory from acomputational point of view shows howto solve real problems that havetopological aspects using computers.Applications include computer graphics,robotics, structural biology, andchemistry.Cambridge Monographs on Applied andComputational Mathematics, 16

2004 228 x 152 mm 264pp 118 line diagrams 2 colour plates0 521 83666 2 Hardback £35.00Publication November 2004

JOURNAL

Acta Numerica 2004Volume 13A. IserlesUniversity of Cambridge

‘Acta Numerica is a fine achievementand I think we can expect to see it formany years to come. It sets itselflaudable and important goals and has,to a large extent, achieved them. Ibelieve that the volumes are ofenormous benefit to our subject … Theeditorial board should be applaudedfor having the vision and drivenecessary to create and sustain such ahigh quality publication … Nomathematics library is completewithout this annual publication, and Iurge everyone working in numericalmathematics and scientific computingto read it.’Andrew Stuart, SIAM Review

2004 247 x 174 mm 438pp0 521 83811 8 Hardback £55.00

General andRecreationalMaths

▼ FEATURE TITLE

Alfred TarskiLife and LogicAnita Burdman Fefermanand Solomon FefermanStanford University, California

‘A chain smoker, a heavy drinker, afrequent user of ‘speed’, a relentlesswomaniser, and a man of Napoleonicself-regard and worldly ambition. Thisis not how one pictures an eminentProfessor of Logic. And yet, this is howthe great logician, Alfred Tarski,emerges from this marvellousbiography. The Fefermans, of course,are uniquely qualified to lead thereader through the intricacies ofTarski’s work, which they do veryengagingly and with great expositoryskill. Tarski’s colourful personality isconveyed with prose that iseconomical, superbly readable andextremely vivid, and the whole book isa joy to read.’Ray Monk, Professor of Philosophy, University ofSouthampton

2004 228 x 152 mm 432pp 10 linediagrams 75 half-tones 1 map0 521 80240 7 Hardback £23.00Publication November 2004

FORTHCOMING

GaussTitan of ScienceG. Waldo DunningtonWith contributions by Jeremy GrayThe Open University, Milton Keynes

This biography of Gauss, Germany’sgreatest mathematician, is easily themost comprehensive in English. Longout of print and very rare in the usedbook market, this valuable piece ofscholarship is being reissued in anaugmented form with additionalmaterial by the eminent Britishmathematical historian, Jeremy Gray.Spectrum

2004 228 x 152 mm 600pp 49 line diagrams0 883 85538 0 Hardback c. £30.00

Numerics and Computer Science / General and Recreational Maths

11

Sherlock Holmes inBabylon and OtherTales of MathematicalHistoryEdited by Marlow AndersonVictor Katzand Robin WilsonThe Open University, Milton Keynes

Covering a span of almost 4000 years,from the ancient Babylonians to theeighteenth century, this collection ofessays chronicles the enormous changesin mathematical thinking over this time,as viewed by distinguished historians ofmathematics. It will be enjoyed byanyone interested in mathematics andits history.Spectrum

2004 265 x 186 mm 400pp 163 line diagrams 65 half-tones 6 tables110 figures0 883 85546 1 Hardback c. £30.00

The William LowellPutnam MathematicalCompetitionProblems and Solutions1965–1984Edited by Gerald AlexandersonUniversity of Santa Clara

Leonard KlosinskiUniversity of Santa Clara

and Loren LarsonSt Olaf College

The Putnam Competition has since1928 been providing a challenge tomathematics students. This bookcontains problems with their solutionsfor the years 1965–1984. It offers anenticing sample of challenging problemsand their solutions and belongs on thebookshelf of students, teachers, and allinterested in problem solving.

2004 250 x 178 mm 168pp 5 line diagrams 5 figures0 883 85463 5 Paperback c. £16.99

Math through theAgesA Gentle History for Teachersand OthersWilliam P. BerlinghoffColby College, Maine

and Fernando GouveaColby College, Maine

Where did maths come from? Whothought up all those symbols, and why?What’s the story behind negativenumbers? The sketches here answerthese questions and many others in aninformal, easygoing style that’s

accessible to teachers, students, andanyone who is curious about the historyof mathematical ideas.Classroom Resource Material

2004 228 x 152 mm 288pp 60 line diagrams 85 half-tones 46 exercises30 figures0 883 85736 7 Hardback £22.99Publication September 2004

From Eudoxus toEinsteinA History of MathematicalAstronomy Christopher LintonLoughborough University

Since Babylonian times, a great deal ofeffort has been put into trying to predictand explain the motions of the sun,moon, and planets. This book describesthe theories of planetary motion thathave been developed through the ages,emphasizing the interaction betweenprogress in astronomy and mathematics.

2004 228 x 152 mm 528pp 87 line diagrams 5 half-tones 15 tables0 521 82750 7 Hardback £65.00

Social Choice and theMathematics ofManipulationAlan D. TaylorUnion College, New York

Learn why it is impossible to devise areasonable voting system in whichvoters can never gain by submitting adisingenuous ballot. Using minimalprerequisites, Alan Taylor presentseconomic, philosophic, andmathematical results from the lastquarter of the twentieth century, withmany new proofs.Outlooks

2005 228 x 152 mm 200pp 3 line diagrams 80 exercises0 521 00883 2 Paperback c. £17.99Publication February 2005

Towards a Philosophyof Real MathematicsDavid CorfieldUniversity of Oxford

‘Corfield’s book as a whole is itself afine specimen of a philosophicalapproach to mathematics that takes itsquestions and its resources from ‘real’mathematics, showing convincingly therichness and fruitfulness of such anapproach.’Philosophia Mathematica

2003 228 x 152 mm 300pp 1 table16 figures0 521 81722 6 Hardback £45.00

Archytas of TarentumPythagorean, Philosopher andMathematician KingCarl HuffmanDePauw University, Indiana

This books examines the significance ofthe mathematician Archytas of Tarentumin fourth-century Greece.

2005 228 x 152 mm 672pp 5 figures0 521 83746 4 Hardback c. £85.00Publication March 2005

Journals

JOURNAL

CompositioMathematicaManaging Editors: BasEdixhovenLeiden University

Ben MoonenUniversity of Amsterdam

and Gerard van der GeerUniversity of Amsterdam

Produced, marketed and distributed forthe London Mathematical Society

Cambridge University Press is proud toannounce the relaunch of CompositioMathematica, a prestigious, well-established journal publishing first-classresearch papers that traditionally focuson the mainstream of puremathematics. CompositioMathematica has a wide scope whichincludes the fields of algebra, numbertheory, topology, algebraic and analyticgeometry and (geometric) analysis.Papers on other topics are welcome ifthey are of broad interest. Allcontributions are required to meet highstandards of quality and originality.Publications in this journal benefit fromthe added value of careful reviewingand editing.Subscriptions

Volume 141 in 2005: January, March, May,July, September and NovemberInstitutions print and electronic: £765/EUR1224/$1224Institutions electronic only: £750/$1200Print ISSN 0010-437XElectronic ISSN 1570-5846

General and Recreational Maths / Journals

For monthly email alerts visit www.cambridge.org/eservices

12

JOURNAL

Bulletin of the LondonMathematical SocietyEditors: James W. AndersonUniversity of Southampton

and Jacek BrodzkiUniversity of Southampton

Produced, marketed and distributed forthe London Mathematical Society

A well-established journal with overthirty five years’ coverage extendingacross the whole range of puremathematics, together with some moreapplied areas of analysis, theoreticalcomputing and mathematical physics.The London Mathematical Society hasadopted a trial open-access policy for2005, in which the most recent twoissues will be freely available online aspart of a one year experiment.Subscriptions

Volume 37 in 2005: February, April, June,August, October and DecemberInstitutions print and electronic: £228/$390Institutions electronic only: £216/$366Special arrangements exist for LMS members.Print ISSN 0024-6093Electronic ISSN 1469-2120

JOURNAL

Proceedings of theLondon MathematicalSocietyEditors: Constantin TelemanUniversity of Cambridge

and Burt TotaroUniversity of Cambridge

Produced, marketed and distributed forthe London Mathematical Society

An eminent international mathematicsjournal, the Proceedings of the LondonMathematical Society has beenpublished since 1865. In 2005, theLondon Mathematical Society is pleasedto announce, the introduction of anopen access policy, in which the mostrecent two issues will be freely availableonline as part of a one year experiment.Papers from the Proceedings, cover awide range of mathematical topics thatinclude real and complex analysis,differential equations and related areas,topology, geometry, logic, probability,statistics, algebra, number theory andcombinatorial theory.Subscriptions

Volumes 90-91 in 2005: January, March, May,July, September and NovemberInstitutions print and electronic: £540/$920Institutions electronic only: £512/$870Members of the LMS may opt to receive thejournalSpecial arrangements exist for LMS members.Print ISSN 0024-6115Electronic ISSN 1460-244X

JOURNAL

LMS Journal ofComputation andMathematicshttp://www.lms.ac.uk/jcmEditor-in-Chief:J. H. DavenportUniversity of Bath

Marketed for the London MathematicalSociety

The new, electronic-only LMS Journal ofComputation and Mathematicspublishes papers on the computationalaspects of mathematics, mathematicalaspects of computation, and papers inmathematics which benefit from beingelectronic on grounds of their format. Itensures rapid publication afteracceptance of a paper, in high-qualityPDF. There are also facilities for addingupdates and discussions to papers,while the main text of each paper isguaranteed to remain unaltered.Hyperlinks are provided for cross-references within and between papers.Access is free until further notice. Go tohttp://www.lms.ac.uk/jcm for furtherdetails.Subscriptions

Volume 6 in 2003: Electronic journal,published incrementally throughout the year.

Electronic only journal, published incrementallythroughout the year. LMS Journal ofComputation and Mathematics is currentlyfree to all users. Go tohttp://www.lms.ac.uk/jcmPrint ISSN 1461-1570

JOURNAL

Journal of the LondonMathematical SocietyEditors: Francis E. BurstallUniversity of Bath

and John F. TolandUniversity of Bath

Produced, marketed and distributed forthe London Mathematical Society

Founded in 1926 and now in its SecondSeries, the Journal of the LondonMathematical Society has a reputationfor publishing some of the highestquality research on the whole spectrumof mathematics. The Journal has a widescope which ranges from number theoryto functional analysis, from finite simplegroups to the mathematical foundationsof quantum theory and from logic andtopos theory to the topology of Liegroups. In 2005, Cambridge UniversityPress are delighted to support theLondon Mathematical Society in theintroduction of a year’s trial open access

policy, in which the most recent twoissues will be freely available online aspart of a one year experiment.Subscriptions

Volumes 71-72 in 2005: February, April, June,August, October and DecemberInstitutions print and electronic: £496/$846Institutions electronic only: £470/$798Special arrangements exist for members of theLMS.Print ISSN 0024-6107Electronic ISSN 1469-7750

JOURNAL

Journal of theInstitute ofMathematics ofJussieuEditor: Colette MoeglinUniversité Paris VI

Published for the Institute ofMathematics of Jussieu

The Journal of the Institute ofMathematics of Jussieu is a newpublication covering all domains in puremathematics. It will include importantresearch articles from areas such asoperator algebra, number theory,algebraic and Lie groups, differentialand symplectic geometry, partialdifferential equations, Banach spaces,potential theory, mathematical physics,and probability. Logic and appliedmathematics will also be considered,particularly where direct connections topure mathematics are clear. The Journalwill readily accept articles in alllanguages though the standard will beEnglish, and its international editorialboard naturally draws upon the broadexpertise of the prestigious JussieuMathematical Institute.Subscriptions

Volume 4 in 2005: January, April, July andOctoberInstitutions print and electronic: £140/$212Institutions electronic only: £120/$180Institutions print only: £130/$196Print ISSN 1474-7480Electronic ISSN 1475-3030

Journals

13

JOURNAL

Ergodic Theory andDynamical SystemsManaging Editors:S. van StrienUniversity of Warwick

and P. WaltersUniversity of Warwick

Ergodic Theory and Dynamical Systemsfocuses on a rich variety of researchareas which, although diverse, employas common themes global dynamicalmethods. The journal provides a focusfor this important and flourishing areaof mathematics and brings togethermany major contributions in the field.The journal acts as a forum for centralproblems of differential geometry,number theory, operator algebras,topological, differential and symbolicdynamics, and celestial and statisticalmechanics.Subscriptions

Volume 25 in 2005: February, April, June,August, October and DecemberInstitutions print and electronic: £498/$798Institutions electronic only: £420/$676Institutions print only: £454/$726London Mathematical Society, AmericanMathematical Society: £150/$240Print ISSN 0143-3857Electronic ISSN 1469-4417

JOURNAL

MathematicalProceedings of theCambridgePhilosophical SocietyEditor: C. B. ThomasUniversity of Cambridge

Published for the CambridgePhilosophical Society

Mathematical Proceedings is one of thefew high-quality journals publishingoriginal research papers that cover thewhole range of pure and appliedmathematics, theoretical physics andstatistics. All branches of puremathematics are covered, in particularlogic and foundations, number theory,algebra, geometry, algebraic andgeometric topology, classical andfunctional analysis, differentialequations, probability and statistics. Onthe applied side, mechanics,mathematical physics, relativity andcosmology are included.Subscriptions

Volumes 138-139 in 2005: January, March,May, July, September and NovemberInstitutions print and electronic: £414/$684Institutions electronic only: £345/$570Institutions print only: £372/$612Special arrangements exist for members ofCambridge Philosophical Society.Print ISSN 0305-0041Electronic ISSN 1469-8064

JOURNAL

Combinatorics,Probability andComputingEditor-in-Chief:Béla BollobásUniversity of Memphis

Published bimonthly, Combinatorics,Probability & Computing is devoted tothe three areas of combinatorics,probability theory and theoreticalcomputer science. The topics coveredinclude: classical and algebraic graphtheory, extremal set theory, matroidtheory, probabilistic methods andrandom combinatorial structures;combinatorial probability and limittheorems for random combinatorialstructures; the theory of algorithms,randomised algorithms, probabilisticanalysis of algorithms, computationallearning theory and optimisation.Subscriptions

Volume 14 in 2005: January, March, May, July,September and NovemberInstitutions print and electronic: £221/$358Institutions electronic only: £185/$298Institutions print only: £202/$325Print ISSN 0963-5483Electronic ISSN 1469-2163

JOURNAL

Glasgow MathematicalJournalEditor-in-Chief: A. W. MasonUniversity of Glasgow

Published for the GlasgowMathematical Journal Trust

The Glasgow Mathematical Journalpublishes original research papers inany branch of pure and appliedmathematics. An international journal,its policy is to feature a wide variety ofresearch areas, which in recent issueshave included ring theory, group theory,functional analysis, combinatorics,differential equations, differentialgeometry, number theory, algebraictopology, and the application of suchmethods in applied mathematics.Subscriptions

Volume 47 in 2005: February, May andSeptemberInstitutions print and electronic: £140/$238Institutions electronic only: £117/$200Institutions print only: £127/$215Special arrangements exist for members ofGlasgow Mathematical Association, GlasgowMathematical Journal Trust or relevant LMSmembers.Print ISSN 0017-0895Electronic ISSN 1469-509X

JOURNAL

Journal of FluidMechanicsEditors: Stephen H. DavisNorthwestern University

and T. J. PedleyUniversity of Cambridge

Journal of Fluid Mechanics is theleading international journal in the fieldand is essential reading for all thoseconcerned with developments in fluidmechanics. It publishes authoritativearticles covering theoretical,computational and experimentalinvestigations of all aspects of themechanics of fluids. Each issue containspapers on both the fundamental aspectsof fluid mechanics, and theirapplications to other fields such asaeronautics, astrophysics, physiology,chemical and mechanical engineering,hydraulics, meteorology, oceanography,geology, acoustics and combustion.Subscriptions

Volumes 522-545 in 2005: twice monthlyInstitutions print and electronic: £1420/$2280Institutions electronic only: £1190/$1920Institutions print only: £1278/$2052Individuals print plus electronic: £498/$798Print ISSN 0022-1120Electronic ISSN 1469-7645

JOURNAL

Proceedings of theEdinburghMathematical SocietyManaging Editor: ICMSICMS, Edinburgh

Published for the EdinburghMathematical Society

The Edinburgh Mathematical Societywas founded in 1883 and over theyears, has evolved into the principalsociety for the promotion ofmathematics research in Scotland. TheSociety has published its Proceedingssince 1884. This contains researchpapers on topics in a broad range ofpure and applied mathematics, togetherwith a number of topical book reviews.Subscriptions

Volume 48 in 2005: February, June, OctoberInstitutions print and electronic: £168/$280Institutions electronic only: £140/$235Institutions print only: £155/$257Print ISSN 0013-0915Electronic ISSN 1464-3839

Journals

Visit our website at www.cambridge.org

14

JOURNAL

European Journal ofApplied MathematicsEditors-in-Chief: S. D.HowisonUniversity of Oxford

A. A. LaceyHeriot-Watt University

and M. J. WardUniversity of British Columbia

Editor: Heinz EnglJohannes Kepler University

From 2005 EJAM will incorporateSurveys on Mathematics for Industry,and will henceforth publish bothresearch papers and survey papers. Theadvent of powerful, user-friendlysoftware in science and industry hasincreasingly led researchers to frameproblems in mathematical terms:EJAM/SMI focuses on those areas ofapplied mathematics inspired by real-world applications, at the same timefostering the development of theoreticalmethods with broad range ofapplicability.Subscriptions

Volume 16 in 2005: February, April, June,August, October and DecemberInstitutions print and electronic: £284/$456Institutions electronic only: £240/$380Institutions print only: £258/$414European Consortium on Mathematics inIndustry, Society of Industrial and AppliedMathematics, Gesellschaft für AngewandteMathematik und Mechanik, Société deMathématiques Appliquées et Industrielles,Institute of Mathematics and its Applications,London Mathematical Society: £90/$144Print ISSN 0956-7925Electronic ISSN 1469-4425

JOURNAL

MathematicalStructures inComputer ScienceEditor: G. LongoCNRS and Ecole NormaleSupérieure, Paris

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Author andTitle IndexAAbe, Eiichi ................................................15Ablowitz, Mark J. ......................................14Acta Numerica 2004.................................10Adaptive Speciation ....................................6Advances in Elliptic Curve Cryptography....10Alexanderson, Gerald................................11Alfred Tarski..............................................10Algebraic Automata Theory .......................15Analysis ......................................................1Anderson, James W...................................12 Anderson, Marlow ....................................11Andrews, George ........................................4Approaches to the Theory of Optimization ..15Archytas of Tarentum ................................11Assem, I. ....................................................5Asymptotic Expansions .............................15Avramov, Luchezar......................................5

BBaaquie, Belal E..........................................9Baker, Andrew.............................................6Baker, H. F...................................................4Bao, David ..................................................4Barbanel, Julius...........................................9Barndorff-Nielsen, Ole.................................9Basic Hypergeometric Series........................2Bayesian Logical Data Analysis for the

Physical Sciences .....................................9Beals, Richard .............................................1Beineke, Lowell W. ......................................2Berlinghoff, William P. ...............................11Blake, I. ....................................................10Bollobás, Béla ...........................................13 Breuer, K. S. ................................................7Brin, M. ......................................................7Brodzki, Jacek...........................................12 Bryant, Robert L..........................................4Burkill, J. C................................................15Burstall, Francis E......................................12

CC++ Design Patterns and Derivatives Pricing ..9Cabanes, Marc............................................1Carothers, N. L............................................1Casselman, William.....................................3Categorical Foundations .............................3Cherednik, Ivan...........................................5Chern, Shiing-Shen .....................................4Ciesielski, Krzysztof.....................................3Colby, Robert R...........................................4Collingwood, E. F. .....................................15Combinatorics, Probability and Computing 13Completeness and Basis Properties of

Sets of Special Functions........................15Complex Analysis........................................1Complex Variables ....................................14Compositio Mathematica ..........................11Computational Methods for Drops,

Bubbles, and Interfaces ............................7Concepts and Practice of Mathematical

Finance, The...........................................14Continuous and Discrete Orthogonal

Polynomials .............................................5

Continuous Time Approach to FinancialVolatility ..................................................9

Copson, E. T. .............................................15Corfield, David..........................................11Corwin, Laurence......................................15Course in Modern Mathematical Physics, A ...6Couvet, Denis .............................................6Covering Property Axiom, CPA, The .............3Cramer, H. ................................................15Cromwell, Peter ..........................................3Cvetkovic, Drago∫........................................3

DData Envelopment Analysis .......................10Davenport, J. H. ........................................12Davis, Stephen H.......................................13 Dicing with Death.....................................14Dickson, David............................................8Dieckmann, Ulf ...........................................6Doebeli, Michael .........................................6Double Affine Hecke Algebras .....................5Drazin, P. G. ................................................7Dunnington, G. Waldo...............................10Dynamics of Markets ................................10

EEdixhoven, Bas .........................................11 Ehrhard, Thomas .........................................3Elements of the Random Walk ....................2Elements of the Representation Theory of

Associative Algebras ................................5Engl, Heinz ...............................................14 Enguehard, Michel ......................................1Equivalence and Duality for Module

Categories with Tilting and Cotilting for Rings..................................................4

Ergodic Theory and Dynamical Systems......13Eriksson, Kimmo .........................................4European Journal of Applied Mathematics ..14Evolutionary Conservation Biology ..............6Exploratory Examples for Real Analysis ........2Exploratory Galois Theory ............................4

FFeferman, Anita Burdman..........................10Feferman, Solomon ...................................10Ferrière, Régis .............................................6Finite Free Resolutions ..............................15First Course in Computational Physics and

Object Oriented Programming with C, A ...6Fokas, Athanassios S. ................................14Fouque, Jean-Pierre.....................................9Fredholm Theory in Banach Spaces............15Frees, Edward W..........................................9From Error Correcting Codes through

Sphere Packings to Semigroups................2From Eudoxus to Einstein..........................11Fuller, Kent R. .............................................4

GGarnett, John B...........................................1Gaspari, George..........................................2Gasper, George...........................................2Gauss .......................................................10General Irreducible Markov Chains and

Non-Negative Operators ........................15General Theory of Lie Groupoids and Lie

Algebroids ...............................................4Geometry of Efficient Fair Division, The........9Girard, Jean-Yves ........................................3Glasgow Mathematical Journal .................13Gouvea, Fernando.....................................11Gray, Jeremy .............................................10Green, Mark ...............................................5

Reissued in Paperback / Author and title Index

Visit our website at www.cambridge.org

16

Greenleaf, Frederick P. ...........15Gregory, Phil ...........................9Guided Tour of Mathematical

Methods, A...........................6

HHarmonic Measure ..................1Hasselblatt, B. .........................7Henry, D. .................................7Herstein, I. N. ..........................5Higgins, J. R...........................15Higham, Desmond...................8Hochgreb, S.............................7Holcombe, M.........................15Homsy, G. M............................7Hopf Algebras .......................15Howison, S. D. .......................14 Huffman, Carl........................11Huneke, Craig..........................5Hydrodynamic Stability ............7

IICMS.....................................13Ideal Theory...........................15Insurance Risk and Ruin ..........8Integer Partitions ....................4Interaction of Ocean Waves

and Wind, The ......................6Introduction to Circle

Packing ................................4Introduction to Financial

Option Valuation, An ............8Introduction to Nonlinear

Analysis, An..........................1Introduction to Reaction-Diffusion Theory, An..............8

Invariants of QuadraticDifferential Forms ...............15

Iserles, A. ..............................10Ismail, Mourad E. H. ................5

JJanssen, P. A. E. .......................6Joshi, Mark S.....................9, 14Journal of Fluid Mechanics ....13Journal of the Institute of

Mathematics of Jussieu ......12Journal of the London

Mathematical Society .........12

KKatz, Victor............................11Klosinski, Leonard .................11Knots and Links.......................3Koseff, J. R...............................7Krantz, Steven G......................1

LLacey, A. A.............................14Larson, Loren ........................11Lebesgue Integral, The...........15Lectures in Contemporary

Commutative Algebra ...........5Lindsey, J. K.............................9Linear Logic in Computer

Science.................................3Linton, Christopher................11LMS Journal of Computation

and Mathematics ...............12Lohwater, A. J. .......................15Longitudinal and Panel Data....9Longo, G. ..............................14

MMackenzie, Kirill ......................4Manton, Nicholas ....................6Marshall, Donald E. .................1Mason, A. W..........................13 Math through the Ages .........11Mathematical Illustrations .......3Mathematical Proceedings of

the Cambridge PhilosophicalSociety ...............................13

Mathematical Society ............12Mathematical Structures in

Computer Science...............14McCauley, Joseph L. ..............10McEliece, R. J...........................2Metz, Johan A. J. .....................6Modern Dynamical Systems

and Applications...................7Moeglin, Colette....................12Montaldi, James ......................8Moonen, Ben ........................11 Mora, Teo................................5Müller-Stach, S. .......................2Multimedia Fluid Mechanics –

Multilingual Version..............7Multiply Periodic Functions ......4Munson, B. R...........................7

NNeedham, David......................8Nemat-Nasser, Sia ...................7Noncommutative Rings............5Northcott, D. G. .....................15Nummelin, Esa ......................15

OOvsienko, V..............................4

PPapanicolaou, George..............9Parry, William ........................15Pawlikowski, Janusz ................3Pedicchio, Maria Cristina .........3Pedley, T. J. ............................13 Perturbation of the Boundary

in Boundary-Value Problemsof Partial DifferentialEquations.............................7

Pesin, Y....................................7Peters, C..................................2Peyresq Lectures on Geometric

Mechanics and Symmetry .....8Plasticity..................................7Ponstein, J. P..........................15Powell, K. G.............................7Probability in the Engineering

and Informational Sciences...14Proceedings of the Edinburgh

Mathematical Society .........13Proceedings of the London

Mathematical Society .........12Projective Differential

Geometry Old and New........4

QQuantum Finance ....................9

RRahman, Mizan .......................2Random Variables and

Probability Distributions......15Ratiu, Tudor.............................8Ray, Subhash C. ....................10

Reid, W. H. ..............................7Representation Theory of

Finite Reductive Groups........1Representations of Nilpotent

Lie Groups and theirApplications .......................15

Richter, Birgit...........................6Ross, Sheldon M....................14 Rowlinson, Peter .....................3Rudnick, Joseph ......................2Ruet, Paul ...............................3Ruston, Anthony Francis ........15

SSampler of Riemann-Finsler

Geometry, A .........................4Scardovelli, R...........................7Scattered Data Approximation ...8Schechter, Martin.....................1Scott, Philip .............................3Senn, Stephen .......................14Seroussi, G. ...........................10Shen, Zhongmin ......................4Shephard, Neil.........................9Sherlock Holmes in Babylon

and Other Tales ofMathematical History .........11

Short Course on Banach Space Theory, A ....................1

Simic, Slobodan.......................3Simson, D................................5Sircar, Ronnie ..........................9Skowronski, A..........................5Smart, N................................10Smith, Karen E. .......................5Snieder, Roel ...........................6Snow, Joanne ..........................2Social Choice and the

Mathematics of Manipulation......................11

Solna, Knut .............................9Solving Polynomial Equation

Systems I..............................5Solving Polynomial Equation

Systems II.............................5Spectral Generalizations of Line

Graphs .................................3Staffans, Olof ..........................8Statistical Analysis of Stochastic

Processes in Time .................9Stephenson, Kenneth...............4Stochastic Approximation ......15Structured Ring Spectra ...........6Sturmfels, Bernd ......................5Sutcliffe, Paul ..........................6Swallow, John .........................4Szekeres, Peter ........................6

TTabachnikov, S.........................4Tautz, Diethard........................6Taylor, Alan D. .......................11Teleman, Constantin..............12 Theory of Cluster Sets, The.....15Theory of Information and

Coding, The ..........................2Tholen, Walter .........................3Thomas, C. B. ........................13 Thompson, Thomas..................2Tijms, Henk .............................1Toland, John F. ......................12Topics in Algebraic Graph

Theory..................................2Topics in Ergodic Theory ........15Topological Solitons.................6

Topology for Computing ........10Totaro, Burt ...........................12 Towards a Philosophy of

Real Mathematics...............11Transcendental Aspects of

Algebraic Cycles.....................2Tryggvason, G..........................7

UUnderstanding Probability .......1

Vvan der Geer, Gerard .............11 van Strien, S. ........................13Veblen, Oswald .....................15Volatility Perturbations in

Financial Markets .................9

WWalters, P. ............................13Ward, M. J.............................14 Wasan, M. T. .........................15Well-Posed Linear Systems.......8Weller, Kirk..............................2Wendland, Holger ...................8William Lowell Putnam

Mathematical Competition,The ....................................11

Wilson, Robin....................2, 11

YYevick, David...........................6

ZZaleski, S.................................7Zomorodian, Afra J. ...............10

Author and title Index

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