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The American Mathematical Society 2006 Course Adoption Catalog Featuring graduate and undergraduate publications suitable for use as textbooks and supplementary course reading.

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Page 1: The American Mathematical Society 2006 Course Adoption … · The American Mathematical Society 2006 Course Adoption Catalog ... Set Theory and Metric Spaces Irving Kaplansky Set

The American Mathematical Society 2006 Course Adoption Catalog

Featuring graduate and undergraduatepublications suitable for use as textbooksand supplementary course reading.

Page 2: The American Mathematical Society 2006 Course Adoption … · The American Mathematical Society 2006 Course Adoption Catalog ... Set Theory and Metric Spaces Irving Kaplansky Set

Intr

oduc

tion

The American Mathematical Society is pleased topresent you with a comprehensive list of our mosttimely and best-selling textbooks. These titles willappeal to students and professors alike. They willspark students' interest in modern mathematics andwill fuel their appreciation for research. Most of thetitles are specifically designed as undergraduate orgraduate texts, but also are suitable for recom-mended and/or supplemental course reading. Allbooks in this brochure make ideal independentstudy resources.

2 To order an exam copy visit www.ams.org/bookstore-exam-copy

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GRADUATE

PROFESSIONAL

UNDERGRAD / GRAD

UNDERGRADUATE

For your convenience, eachbook has been labeled with its individual readership level.

3

Algebra and Algebraic Geometry

Analysis

Applications

Differential Equations

Discrete Mathematics

Geometry and Topology

Order forms

Logic and Foundations

Number Theory

General Interest

Probability

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10

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Contents

For more information on these titles visit www.ams.org/bookstore

For up-to-date information on the newest textbooks from the AMS, please visit www.ams.org/bookstore/course-adoption

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UNDERGRADUATE

Matrix Groups forUndergraduates

Kristopher Tapp, WilliamsCollege, Williamstown, MA

Student Mathematical Library,Volume 29; 2005; 166 pages;Softcover; ISBN 0-8218-3785-0; List US$29; All AMS membersUS$23; Order code STML/29

Alg

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Algebra and Algebraic Geometry

Transformation Groupsfor Beginners

S. V. Duzhin, SteklovInstitute of Mathematics, St. Petersburg, Russia, and B. D. Chebotarevsky,Minsk, Belarus

Student Mathematical Library,Volume 25; 2004; 246 pages;Softcover; ISBN 0-8218-3643-9; List US$39; All AMS membersUS$31; Order code STML/25

UNDERGRADUATE

Elementary AlgebraicGeometry

Klaus Hulek, UniversitätHannover,Hannover,Germany

Student Mathematical Library,Volume 20; 2003; 213 pages;Softcover; ISBN 0-8218-2952-1; List US$35; All AMS membersUS$28; Order code STML/20

UNDERGRADUATE

Elementary Algebraic Geometry

Klaus Hulek

STUDENT MATHEMATICAL LIBRARYVOLUME 20

To order an exam copy visit www.ams.org/bookstore-exam-copy

AlgebraSaunders Mac LaneGarrett Birkhoff

AlgebraThird Edition

Saunders Mac Lane,University of Chicago,Chicago, IL and GarrettBirkhoffAMS Chelsea Publishing1988; 626 pages; Hardcover; ISBN 0-8218-1646-2; List US$59; All AMS members US$53; Order code CHEL/330.H

UNDERGRAD / GRAD

“The book remains one of thevery best introductory textson algebraic geometry. Thelast chapter is a masterpieceof didactic art… absolute-ly unique for such an elemen-tary textbook.”

—Zentralblatt MATH

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Solving Systems ofPolynomial Equations

Bernd Sturmfels,University of California,Berkeley, CA

CBMS Regional Conference Seriesin Mathematics, Number 97; 2002;152 pages; Softcover; ISBN 0-8218-3251-4; List US$34; All individualsUS$27; Order code CBMS/97

A Course in Algebra

E. B. Vinberg, MoscowState University, Moscow,Russia

Graduate Studies in Mathematics,Volume 56; 2003; 511 pages;Softcover; ISBN 0-8218-3413-4; List US$59; All AMS membersUS$47; Order code GSM/56.S

5

Algebra and A

lgebraic Geom

etry

GRADUATE

GRADUATE

“Vinberg has written an algebrabook that is excellent, both as aclassroom text or for self-study. Itstarts with the most basic conceptsand builds in orderly fashion tomoderately advanced topics ...years of teaching abstract algebrahave enabled Vinberg to say theright thing at the right time.”

—Professor Irving Kaplansky, Mathematical Sciences Research Institute

A Course in Algebra

E. B. Vinberg

Graduate Studiesin Mathematics

Volume 56 "The book was easy to under-stand, with many examples.The exercises were well chosen,and served to give furtherexamples and developments of the theory."

—Professor William Goldman,University of Maryland

Algebraic Curves andRiemann Surfaces

Rick Miranda, Colorado State University, Ft. Collins, CO

Graduate Studies in Mathematics,Volume 5; 1995; 390 pages;Hardcover; ISBN 0-8218-0268-2; List US$51; All AMS membersUS$41; Order code GSM/5

GRADUATE

Algebraic Curves and Riemann Surfaces

Rick Miranda

Graduate Studiesin Mathematics

Volume 5

For more information on these titles visit www.ams.org/bookstore

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STUDENT MATHEMATICAL LIBRARYVOLUME 12

Problems in Mathematical Analysis II Continuity and Differentiation W. J. KaczorM. T. Nowak

Real Analysis

Frank Morgan, WilliamsCollege, Williamstown, MA

2005; 151 pages; Hardcover; ISBN 0-8218-3670-6; List US$39; All AMS members US$31; Order codeREAL

Real Analysis andApplicationsIncluding Fourier Series andthe Calculus of Variations

Frank Morgan, WilliamsCollege, Williamstown, MA

2005; 208 pages; Hardcover; ISBN 0-8218-3841-5; List US$39; All AMS members US$31; Order code REALAPP

Problems in MathematicalAnalysis IIContinuity and Differentiation

W. J. Kaczor and M. T. Nowak, Marie Curie-Sklodowska University, Lublin, Poland

Student Mathematical Library, Volume 12;2001; 398 pages; Softcover; ISBN 0-8218-2051-6; List US$51; All AMS members US$41; Order code STML/12

6 To order an exam copy visit www.ams.org/bookstore-exam-copy

Ana

lysi

s

UNDERGRADUATE UNDERGRADUATE

UNDERGRADUATE

AnalysisSTUDENT MATHEMATICAL LIBRARYVOLUME 4

Problems in Mathematical Analysis I Real Numbers, Sequences and Series W. J. KaczorM. T. Nowak

Problems in MathematicalAnalysis IReal Numbers, Sequences andSeries

W. J. Kaczor and M. T. Nowak,Marie Curie-SklodowskaUniversity, Lublin, Poland

Student Mathematical Library, Volume 4;2000; 380 pages; Softcover; ISBN 0-8218-2050-8; List US$51; All AMS members US$41; Order code STML/4

UNDERGRADUATE

“Belongs to the great traditionof Eastern European problembooks ... if you love mathematicsand are serious about under-standing analysis, this book is a must.”

—MAA Online

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Problems inMathematical Analysis IIIIntegration

W. J. Kaczor and M. T. Nowak, MarieCurie-SklodowskaUniversity, Lublin, Poland

Student Mathematical Library,Volume 21; 2003; 356 pages;Softcover; ISBN 0-8218-3298-0; List US$49; All AMS membersUS$39; Order code STML/21

Problems in Mathematical Analysis III Integration W. J. KaczorM. T. Nowak

STUDENT MATHEMATICAL LIBRARYVOLUME 21

7For more information on these titles visit www.ams.org/bookstore

Analysis

UNDERGRADUATE

“This is a remarkable book.It provides deep and invaluableinsight into many parts ofanalysis, presented by an accomplished analyst.”

—Professor Paul Sally, University of Chicago

“Kaplansky has a well-deservedreputation for his expositorytalents. The selection of topics isexcellent.”

—Professor Lance Small, University of California San Diego

A Companion to AnalysisA Second First and FirstSecond Course in Analysis

T. W. Körner, University of Cambridge, Cambridge,England

Graduate Studies in Mathematics,Volume 62; 2004; 590 pages;Hardcover; ISBN 0-8218-3447-9; List US$79; All AMS membersUS$63; Order code GSM/62

GRADUATE

AMS CHELSEA PUBLISHING

American Mathematical Society • Providence, Rhode Island

Set Theory and

Metric Spaces

Irving Kaplansky

Set Theory and MetricSpaces

Irving Kaplansky,Mathematical SciencesResearch Institute, Berkeley, CA

AMS Chelsea Publishing1972; 140 pages; Hardcover; ISBN 0-8218-2694-8; List US$29; All AMS members US$26; Order code CHEL/298.H

UNDERGRADUATE

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Algebra and Algebraic Geometry

Functional AnalysisAn Introduction

Yuli Eidelman and Vitali Milman, Tel AvivUniversity, Tel Aviv, Israel, and Antonis Tsolomitis,University of the Aegean,Samos, GreeceGraduate Studies in Mathematics,Volume 66; 2004; 322 pages; Hardcover;ISBN 0-8218-3646-3; List US$55; All AMS members US$44; Order codeGSM/66

Graduate Studiesin Mathematics

Volume 66

FunctionalAnalysisAn Introduction

Yuli EidelmanVitali MilmanAntonis Tsolomitis

8 To order an exam copy visit www.ams.org/bookstore-exam-copy

Ana

lysi

s GRADUATE

Principles of FunctionalAnalysisSecond Edition

Martin Schechter,University of California,Irvine, CA

Graduate Studies in Mathematics,Volume 36; 2002; 425 pages;Hardcover; ISBN 0-8218-2895-9; List US$62; All AMS membersUS$50; Order code GSM/36

American Mathematical Society

Graduate Studiesin Mathematics

Volume 36

Martin Schechter

Principles of Functional Analysis

Second Edition

GRADUATE

"I liked the book very much.The topics chosen were suitedtoward concepts that I wantedstudents to master."

—Professor Gary Sampson, Auburn University

Elliott H. LiebMichael Loss

ANALYSIS

Graduate Studiesin Mathematics

Volume 14

American Mathematical SocietyFOUNDED 1888

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SECOND EDITION AnalysisSecond Edition

Elliott H. Lieb, PrincetonUniversity, Princeton, NJ,and Michael Loss, GeorgiaInstitute of Technology,Atlanta, GA

Graduate Studies in Mathematics,Volume 14; 2001; 346 pages;Hardcover; ISBN 0-8218-2783-9; List US$41; All AMS membersUS$33; Order code GSM/14.R

GRADUATE

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AMS CHELSEA PUBLISHING

American Mathematical Society • Providence, Rhode Island

ComplexManifolds

James MorrowKunihiko Kodaira

Complex Manifolds

James Morrow, Universityof Washington, Seattle, WAand Kunihiko KodairaAMS Chelsea Publishing1971; 194 pages; Hardcover; ISBN 0-8218-4055-X; List US$29; All AMS members US$26; Order code CHEL/355.H

9For more information on these titles visit www.ams.org/bookstore

Analysis

GRADUATE

Volume 29

Lectures on Harmonic Analysis

Thomas H. WolffEdited by

Izabella Labaand Carol Shubin

Lectures on HarmonicAnalysis

Thomas H. Wolff (edited byIzabella �Laba, University ofBritish Columbia, Vancouver,Canada, and Carol Shubin,California State UniversityNorthridge, CA)

University Lecture Series, Volume 29;2003; 137 pages; Softcover; ISBN 0-8218-3449-5; List US$31; All AMSmembers US$25; Order code ULECT/29

GRADUATE

American Mathematical Society

C*-Algebras by Example

Kenneth R. Davidson

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THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES

FIELDS INSTITUTE

MONOGRAPHS

C*-Algebras by Example

Kenneth R. Davidson,University of Waterloo, ON,Canada

Fields Institute Monographs*,Volume 6; 1996; 309 pages;Hardcover; ISBN 0-8218-0599-1; List US$65; All AMS membersUS$52; Order code FIM/6

GRADUATE

"The exposition is clear andwritten in an accessible way for most students, who will alsoappreciate the exercises (555 of them!).”

—European Mathematical Society Newsletter

“A great book for a beginning grad course!”

—Professor Palle Jorgensen, University of Iowa

* Titles in this series are published by the AMS for The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Customersin India, Sri Lanka, Bangladesh, and Pakistan, please contact Hindustan Book Agency (India), 17 U B Jawahar Nagar, Delhi 110 007, India.

Function Theory of OneComplex VariableSecond Edition

Robert E. Greene,University of California, Los Angeles, CA and StevenG. Krantz, WashingtonUniversity, St. Louis, MOGraduate Studies in Mathematics,Volume 40; 2002; 502 pages;Hardcover; ISBN 0-8218-2905-X; List US$72; All AMS membersUS$58; Order code GSM/40

GRADUATE

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STUDENT MATHEMATICAL LIBRARYVOLUME 27

Mathematical ModellingA Case Studies Approach

Reinhard IllnerC. Sean BohunSamantha McCollumThea van Roode

Mathematical ModellingA Case Studies Approach

Reinhard IllnerC. Sean BohunSamantha McCollumThea van Roode

Graduate Studiesin Mathematics

Volume 57

Concise NumericalMathematics

Robert Plato

Graduate Studiesin Mathematics

Volume 72

Introduction to the Mathematics of Finance

R. J. Williams

Mathematical ModellingA case studies approach

Reinhard Illner, C. Sean Bohun, Samantha McCollum, and Thea van Roode,University of Victoria, BC, Canada

Student Mathematical Library,Volume 27; 2005; 196 pages;Softcover; ISBN 0-8218-3650-1; List US$35; All AMS membersUS$28; Order code STML/27

Concise NumericalMathematics

Robert Plato, TechnicalUniversity of Berlin, Berlin,Germany

Graduate Studies in Mathematics,Volume 57; 2003; 453 pages;Softcover; ISBN 0-8218-3414-2; List US$55; All AMS membersUS$44; Order code GSM/57.S

Classical and QuantumComputation

A. Yu. Kitaev, CaliforniaInstitute of Technology,Pasadena, CA and A. H.Shen and M. N. Vyalyi,Independent University ofMoscow, Moscow, Russia

Graduate Studies in Mathematics,Volume 47; 2002; Softcover; ISBN 0-8218-3229-8; List US$38;All AMS members US$30; Order code GSM/47.S

Introduction to theMathematics of Finance

R. J. Williams, Universityof California, San Diego, La Jolla, CA

Graduate Studies in Mathematics,Volume 72; 2006; 152 pages;Hardcover; ISBN 0-8218-3903-9; List US$39; All AMS membersUS$31; Order code GSM/72

10 To order an exam copy visit www.ams.org/bookstore-exam-copy

App

licat

ions

UNDERGRADUATE

GRADUATE

GRADUATE

GRADUATE

Applications

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12

Notes onDynamicalSystems

J Ü R G E N M O S E R

E D U A R D J . Z E H N D E RE D U A R D J . Z E H N D E R

Notes on DynamicalSystems

Jürgen Moserand Eduard J. Zehnder,ETH, Zurich, Switzerland

Courant Lecture Notes*, Volume 12;2005; 256 pages; Softcover; ISBN 0-8218-3577-7; List US$34; All AMS members US$27; Order codeCLN/12

11For more information on these titles visit www.ams.org/bookstore

Differential Equations

GRADUATE

An Introductionto the Mathematical Theory of Waves

Roger Knobel

STUDENT MATHEMATICAL LIBRARY IAS PARK CITY MATHEMATICAL SUBSERIESVOLUME 3

American Mathematical SocietyInstitute for Advanced Study

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An Introduction to theMathematical Theory ofWaves

Roger Knobel, Universityof Texas-Pan American,Edinburg, TX

Student Mathematical Library,Volume 3; 2000; 196 pages; Softcover;ISBN 0-8218-2039-7; List US$24; All AMS members US$19; Order codeSTML/3

UNDERGRADUATE

“This excellent textbook is meantas an introduction to mathe-matical analysis of partial differential equations. [Thisbook is recommended] as thefirst textbook for anyone whowants to learn the theory ofpartial differential equations.”

—European Mathematical Society Newsletter

“This book provides a sturdybridge from a course onordinary differential equa-tions... [It]could be very useable as a text for a firstcourse in partial differen-tial equations. Kudos toRoger Knobel on havingproduced such a well-writtenand much-needed book!”

—MAA Online

Differential Equations

* Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Graduate Studiesin Mathematics

Volume 19

American Mathematical SocietyFOUNDED 1888

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Lawrence C. Evans

Partial Differential Equations

Partial DifferentialEquations

Lawrence C. Evans,University of California,Berkeley, CA

Graduate Studies in Mathematics,Volume 19; 1998; 662 pages;Hardcover; ISBN 0-8218-0772-2; List US$79; All AMS membersUS$63; Order code GSM/19

GRADUATE

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Algebra and Algebraic Geometry

Portraits of the EarthA Mathematician Looks at Maps

Timothy G. Feeman,Villanova University,Villanova, PA

Mathematical World, Volume 18;2002; 123 pages; Softcover; ISBN 0-8218-3255-7; List US$27; All AMS members US$22; Order code MAWRLD/18

The Knot BookAn Elementary Introductionto the Mathematical Theoryof Knots

Colin C. Adams, WilliamsCollege, Williamstown, MA

2004; 307 pages; Softcover; ISBN 0-8218-3678-1; List US$29; All AMS members US$23; Order code KNOT

12 To order an exam copy visit www.ams.org/bookstore-exam-copy

Dis

cret

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athe

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/ G

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and

Top

olog

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UNDERGRADUATE

UNDERGRADUATE

“Clearly written and has agreat collection of exercises. It is the best textbook at this level... recommend it to colleagues.”

—Professor O. M. G. Jenda, Auburn University

"I thought the book wasvery well suited for anundergraduate knot theory/topology course.The exposition was veryclear."

—Professor Jennifer Taback, Bowdoin College

Discrete Mathematics Geometry and Topology

American Mathematical Society

Graduate Studiesin Mathematics

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Volume 3

An Introduction toGröbner Bases

William W. AdamsPhilippe Loustaunau

GRADUATE

An Introduction toGröbner Bases

William W. Adams,University of Maryland,College Park, MD andPhilippe Loustaunau,George Mason University,Fairfax, VA

Graduate Studies in Mathematics,Volume 3; 1994; 289 pages;Hardcover; ISBN 0-8218-3804-0; List US$41; All AMS membersUS$33; Order code GSM/3

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ORDER FORMAMER I C AN MATHEMAT I C A L SOC I E T Y

ORDERED BY

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Please send me electronic notification about new AMS titles.

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R E Q U E S T

All Examination Copies are made available on a 45-day examination period. To order your copy, please complete thisform and send it either by fax to 1-401-331-3842 or email yourrequest with the following information to [email protected].

If you have any questions please call us at 1-800-321-4267 ext. 4117 (U.S. and Canada) or 1-401-455-4117 (worldwide).

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If yes to above, what text was used? ___________________________

Thank you for considering the American Mathematical Society as your source for a course adoption text.

EXAM INAT I ON COPY

Order your exam copy online by visiting www.ams.org/bookstore-exam-copy

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Graduate Studiesin Mathematics

Volume 69

Curvesand SurfacesSebastián MontielAntonio Ros

Knots and Links

Dale Rolfsen, University of British Columbia,Vancouver, Canada

AMS Chelsea Publishing2003; 439 pages; Hardcover; ISBN 0-8218-3436-3; List US$55; All AMS members US$50; Order code CHEL/346.H

Curves and Surfaces

Sebastián Montieland Antonio Ros,Universidad deGranada, Granada,Spain

Graduate Studies inMathematics*, Volume 69;2005; 376 pages; Hardcover;ISBN 0-8218-3815-6; ListUS$59; All AMS membersUS$47; Order code GSM/69

Geometry of Manifolds

Richard L. Bishop,University of Illinois,Urbana, IL and Richard J. CrittendenAMS Chelsea Publishing1964; 273 pages; Hardcover; ISBN 0-8218-2923-8; List US$41; All AMS members US$37; Order code CHEL/344.H

15For more information on these titles visit www.ams.org/bookstore

Geom

etry and Topology

UNDERGRAD / GRAD

UNDERGRAD / GRAD

UNDERGRAD / GRAD

From a review of the first edition: “It is extraordinarily welcome that this comprehensivetextbook containing all the highpoints of differential geometryis now available in an Englishtranslation. Required readingfor all mathematicians!”

—translated from International Mathematical News

Curves—Surfaces—ManifoldsSecond Edition

Differential GeometryCurves – Surfaces –Manifolds, Second Edition

Wolfgang Kühnel,University of Stuttgart,Stuttgart, Germany

Student Mathematical Library,Volume 16; 2006; 380 pages;Softcover; ISBN 0-8218-3988-8;List US$49; All AMS members US$39;Order code STML/16.R

UNDERGRAD / GRAD

Translations of

ATHEMATICALONOGRAPHS

MM

Volume 201

American Mathematical SocietyΑΓ

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Geometry of Differential FormsShigeyuki Morita

Geometry ofDifferential Forms

Shigeyuki Morita,University of Tokyo,Tokyo, Japan

Translations of MathematicalMonographs (Iwanami Seriesin Modern Mathematics), Volume 201; 2001; 321 pages;Softcover; ISBN 0-8218-1045-6; List US$56; All AMSmembers US$45; Order codeMMONO/201

GRADUATE

* This book is jointly published by the AMS and the Real Sociedad Matemática Española (RSME).

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American Mathematical Society

Graduate Studiesin Mathematics

Volume 26

Rolf Berndt

An Introduction to Symplectic Geometry

American Mathematical Society

Graduate Studiesin Mathematics

Volume 34

Differential Geometry, Lie Groups, and Symmetric Spaces

Sigurdur Helgason

An Introduction to SymplecticGeometry

Rolf Berndt,University ofHamburg, Hamburg,Germany

Graduate Studies inMathematics, Volume 26;2001; 195 pages; Hardcover;ISBN 0-8218-2056-7; List US$38; All AMS membersUS$30; Order code GSM/26

Global AnalysisDifferential Forms inAnalysis, Geometry andPhysics

Ilka Agricola andThomas Friedrich,Humboldt University,Berlin, Germany

Graduate Studies inMathematics, Volume 52; 2002;343 pages; Hardcover; ISBN 0-8218-2951-3; List US$62;All AMS members US$50; Ordercode GSM/52

Differential Geometry,Lie Groups, andSymmetric Spaces

Sigurdur Helgason,Massachusetts Institute ofTechnology, Cambridge, MA

Graduate Studies in Mathematics,Volume 34; 2001; 641 pages;Hardcover; ISBN 0-8218-2848-7;List US$72; All AMS membersUS$58; Order code GSM/34

16 To order an exam copy visit www.ams.org/bookstore-exam-copy

Geo

met

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nd T

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GRADUATE GRADUATE GRADUATE

A First Course in TopologyContinuity and Dimension

John McCleary, VassarCollege, Poughkeepsie, NY

Student Mathematical Library,Volume 31; 2006; approximately 216pages; Softcover; ISBN 0-8218-3884-9;List US$35; All AMS members US$28;Order code STML/31

UNDERGRAD / GRAD

The Wild World of4-Manifolds

Alexandru Scorpan,University of Florida,Gainesville, FL

2005; 609 pages; Hardcover;ISBN 0-8218-3749-4; List US$69; All AMS membersUS$55; Order code FOURMAN

AMERICAN MATHEMATICAL SOCIETY

THE WILDWORLD OF

4–MANIFOLDSALEXANDRU SCORPAN

GRADUATE“What a wonderful book!I strongly recommend thisbook to anyone, especiallygraduate students, inter-ested in getting a sense of4-manifolds.”

—MAA Online

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Exploring the NumberJungle: A Journey intoDiophantine Analysis

Edward B. Burger,Williams College,Williamstown, MA

Student Mathematical Library,Volume 8; 2000; 151 pages; Softcover;ISBN 0-8218-2640-9; List US$21; All AMS members US$17; Order codeSTML/8

Exploring the number jungle: A journey into diophantine analysis

Edward B. Burger

STUDENT MATHEMATICAL LIBRARYVOLUME 8

Logic and Foundations/Num

ber Theory

UNDERGRADUATE

For more information on these titles visit www.ams.org/bookstore 17

“..the book is perfectly tailoredto general relativity. There isalso a fair number of goodexercises.”

—Professor Roman Smirnov, Dalhousie University

Logic and Foundations Number Theory

Basic Set Theory

A. Shen, IndependentUniversity of Moscow,Moscow, Russia, and N. K. Vereshchagin,Moscow State LomonosovUniversity, Moscow, Russia

Student Mathematical Library,Volume 17; 2002; 116 pages;Softcover; ISBN 0-8218-2731-6; List US$22; All AMS membersUS$18; Order code STML/17

UNDERGRADUATE

American Mathematical Society

Graduate Studiesin Mathematics

Volume 24

Helmut Koch

Number TheoryAlgebraic Numbers and Functions Number Theory

Algebraic Numbers andFunctions

Helmut Koch, HumboldtUniversity, Berlin, Germany

Graduate Studies in Mathematics,Volume 24; 2000; 368 pages;Hardcover; ISBN 0-8218-2054-0; List US$62; All AMS membersUS$50; Order code GSM/24

GRADUATE

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Techniques ofProblem Solving

Steven G. Krantz

American Mathematical SocietyΑΓ

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ΤΡΗΤΟΣ ΜΗ

FOUNDED 1888

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Techniques of ProblemSolving

Steven G. Krantz,Washington University, St. Louis, MO

1997; 465 pages; Softcover; ISBN 0-8218-0619-X; List US$36; All AMSmembers US$29; Order code TPS

American Mathematical Society

Graduate Studiesin Mathematics

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Volume 7

Algebraic Number FieldsSecond Edition

Gerald J. Janusz

Algebraic Number FieldsSecond Edition

Gerald J. Janusz,University of Illinois,Urbana, IL

Graduate Studies in Mathematics,Volume 7; 1996; 276 pages;Hardcover; ISBN 0-8218-0429-4; List US$48; All AMS membersUS$38; Order code GSM/7

Euler through Time:A New Look at Old Themes

V. S. Varadarajan,University of California, Los Angeles, CA

2006; 292 pages; Hardcover; ISBN 0-8218-3580-7; List US$59; All AMS members US$47; Order codeEULER

18 To order an exam copy visit www.ams.org/bookstore-exam-copy

Num

ber T

heor

y/G

ener

al In

tere

st

GRADUATE

GRADUATE UNDERGRADUATE

“The book will help students to: translate verbaldiscussions into analytical data; learn problem-solving methods for attacking collections of analytical questions or data; build a personal arsenal of solutions and internalized problem solving techniques; become ‘armed problemsolvers’, ready to do battle with a variety ofpuzzles in different areas of life.”

—Zentralblatt MATH

General Interest

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General Interest

19For more information on these titles visit www.ams.org/bookstore

Mathematical World • Volume 13

American Mathematical Society

A GentleIntroduction to

GAMETHEORY

Saul Stahl

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FOUNDED 1888

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Groups and Symmetry:A Guide to DiscoveringMathematics

David W. Farmer, BucknellUniversity, Lewisburg, PA

Mathematical World, Volume 5;1996; 102 pages; Softcover; ISBN 0-8218-0450-2; List US$21; All AMS members US$17; Order code MAWRLD/5

A Gentle Introduction to Game Theory

Saul Stahl, University ofKansas, Lawrence, KS

Mathematical World, Volume 13;1999; 176 pages; Softcover; ISBN 0-8218-1339-0; List US$27; All AMS members US$22; Order code MAWRLD/13

UNDERGRADUATE

UNDERGRADUATE “The book is perfectly suited to a course for non-science majorsin need of fulfilling a mathrequirement.”

—Professor William Bloch, Wheaton College

Knots and Surfaces:A Guide to DiscoveringMathematics

David W. Farmer, BucknellUniversity, Lewisburg, PA,and Theodore B. Stanford,University of Nevada, Reno, NV

Mathematical World, Volume 6;1996; 101 pages; Softcover; ISBN 0-8218-0451-0; List US$21; All AMS members US$17; Order code MAWRLD/6

UNDERGRADUATE

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20 To order an exam copy visit www.ams.org/bookstore-exam-copy

Gen

eral

Inte

rest

A Mathematician Looks at VotingDonald G. Saari Chaotic Elections! A

Mathematician Looks at Voting

Donald G. Saari,University of California,Irvine, CA

2001; 159 pages; Softcover; ISBN 0-8218-2847-9; List US$24; All AMSmembers US$19; Order code ELECT

A Primer ofMathematical Writing

Steven G. Krantz,Washington University, St. Louis, MO

1997; 223 pages; Softcover; ISBN 0-8218-0635-1; List US$21; All AMSmembers US$17; Order code PMW

The Mathematics ofVoting and Elections: AHands-On Approach

Jonathan K. Hodge,Grand Valley StateUniversity, Allendale, MI,and Richard E. Klima,Appalachian StateUniversity, Boone, NC

Mathematical World, Volume 222005; 226 pages; Softcover; ISBN 0-8218-3798-2; List US$35; All AMSmembers US$28; Order codeMAWRLD/22

UNDERGRADUATE

UNDERGRADUATE PROFESSIONAL

"An original contribution tothe educational literature onteaching mathematics at thepost-secondary level. The bookitself is an explicit proof of theauthor's claim `teaching can berewarding, useful, and fun'."

—Zentralblatt MATH

HOW TO TEACH MATHEMATICS

SECOND EDITION

STEVEN G. KRANTZ

American Mathematical Society

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How to TeachMathematics, SecondEdition

Steven G. Krantz,Washington University, St. Louis, MO

1999; 307 pages; Softcover; ISBN 0-8218-1398-6; List US$26; All AMSmembers US$21; Order code HTM/2

PROFESSIONAL

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Graduate Studiesin Mathematics

Volume 70

Probability Theory in FinanceA Mathematical Guide to theBlack-Scholes Formula

Seán Dineen

C O U R A N TLECTURE

NOTES

7

American Mathematical SocietyCourant Institute of Mathematical Sciences

S . R . S . V a r a d h a n

Probability Theory

Heads or TailsAn Introduction to LimitTheorems in Probability

Emmanuel Lesigne,Université FrançoisRabelais, Tours, FranceStudent Mathematical Library,Volume 28; 2005; 150 pages;Softcover; ISBN 0-8218-3714-1; List US$29; All AMS membersUS$23; Order code STML/28

Probability Theory inFinanceA Mathematical Guide tothe Black-Scholes Formula

Seán Dineen, UniversityCollege Dublin, Ireland

Graduate Studies in Mathematics,Volume 70; 2005; 294 pages;Hardcover; ISBN 0-8218-3951-9; List US$55; All AMS membersUS$44; Order code GSM/70

Probability Theory

S. R. S. Varadhan, NewYork University - CourantInstitute of MathematicalSciences, New York, NY

Courant Lecture Notes*, Volume 7;2001; 167 pages; Softcover; ISBN 0-8218-2852-5; List US$24; All AMSmembers US$19; Order code CLN/7

21For more information on these titles visit www.ams.org/bookstore

Probability

UNDERGRADUATE

* Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

GRADUATE GRADUATE

“The book is a beautiful intro-duction to probability theory atthe beginning level. It is indeeda valuable addition to the studyof probability theory.”

—Zentralblatt MATH

ProbabilityIntroduction to

PROBABILITY

American Mathematical Society

Charles M. GrinsteadJ. Laurie Snell

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FOUNDED 1888

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Introduction to ProbabilitySecond Revised Edition

Charles M. Grinstead,Swarthmore College,Swarthmore, PA, and J. Laurie Snell, DartmouthCollege, Hanover, NH

1997; 510 pages; Hardcover; ISBN 0-8218-0749-8; List US$54; All AMSmembers US$43; Order code IPROB

UNDERGRADUATE

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22 To order an exam copy visit www.ams.org/bookstore-exam-copy

Aut

hor/

Titl

e In

dex Adams, Colin C. . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Adams, William W. . . . . . . . . . . . . . . . . . . . . . . . . 12

Agricola, Ilka . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Algebraic Curves and Riemann Surfaces . . . . . . . . . . 5

Algebraic Number Fields . . . . . . . . . . . . . . . . . . . . 18

Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Basic Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

Berndt, Rolf . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

Birkhoff, Garrett . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Bishop, Richard L. . . . . . . . . . . . . . . . . . . . . . . . . 15

Bohun, C. Sean. . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Burger, Edward B. . . . . . . . . . . . . . . . . . . . . . . . . 17

C*-Algebras by Example . . . . . . . . . . . . . . . . . . . . . . 9

Chaotic Elections! A Mathematician Looks at Voting . . . . . . . . . . . . . . . . . . . . . . . . . 20

Chebotarevsky, B. D.. . . . . . . . . . . . . . . . . . . . . . . . 4

Classical and Quantum Computation . . . . . . . . . . . 10

A Companion to Analysis . . . . . . . . . . . . . . . . . . . . . 7

Complex Manifolds . . . . . . . . . . . . . . . . . . . . . . . . . 9

Concise Numerical Mathematics . . . . . . . . . . . . . . . 10

A Course in Algebra . . . . . . . . . . . . . . . . . . . . . . . . 5

Crittenden, Richard J. . . . . . . . . . . . . . . . . . . . . . . 15

Curves and Surfaces. . . . . . . . . . . . . . . . . . . . . . . . 15

Davidson, Kenneth R. . . . . . . . . . . . . . . . . . . . . . . . 9

Differential Geometry . . . . . . . . . . . . . . . . . . . . . . 15

Differential Geometry, Lie Groups, and Symmetric Spaces . . . . . . . . . . . . . . . . . . . . . 16

Dineen, Seán . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Duzhin, S. V. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Eidelman, Yuli . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Elementary Algebraic Geometry . . . . . . . . . . . . . . . . 4

Euler through Time . . . . . . . . . . . . . . . . . . . . . . . . 18

Evans, Lawrence C. . . . . . . . . . . . . . . . . . . . . . . . . 11

Exploring the Number Jungle: A Journey intoDiophantine Analysis . . . . . . . . . . . . . . . . . . . . . 17

Farmer, David W. . . . . . . . . . . . . . . . . . . . . . . . . . 19

Feeman, Timothy G. . . . . . . . . . . . . . . . . . . . . . . . 12

A First Course in Topology . . . . . . . . . . . . . . . . . . . 16

Friedrich, Thomas . . . . . . . . . . . . . . . . . . . . . . . . . 16

Function Theory of One Complex Variable . . . . . . . . . 9

Functional Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 8

A Gentle Introduction to Game Theory. . . . . . . . . . . 19

Geometry of Differential Forms . . . . . . . . . . . . . . . . 15

Geometry of Manifolds . . . . . . . . . . . . . . . . . . . . . . 15

Global Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

Greene, Robert E.. . . . . . . . . . . . . . . . . . . . . . . . . . 9

Grinstead, Charles M. . . . . . . . . . . . . . . . . . . . . . . 21

Groups and Symmetry: A Guide to DiscoveringMathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

Heads or Tails . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Helgason, Sigurdur . . . . . . . . . . . . . . . . . . . . . . . . 16

Hodge, Jonathan K. . . . . . . . . . . . . . . . . . . . . . . . 20

How to Teach Mathematics, Second Edition. . . . . . . . 20

Hulek, Klaus. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Illner, Reinhard. . . . . . . . . . . . . . . . . . . . . . . . . . . 10

An Introduction to Gröbner Bases . . . . . . . . . . . . . . 12

Introduction to Probability . . . . . . . . . . . . . . . . . . . 21

An Introduction to Symplectic Geometry . . . . . . . . . . 16

An Introduction to the Mathematical Theory of Waves . . . . . . . . . . . . . . . . . . . . . . . . . 11

Introduction to the Mathematics of Finance . . . . . . . 10

Janusz, Gerald J. . . . . . . . . . . . . . . . . . . . . . . . . . . 18

Kaczor, W. J.. . . . . . . . . . . . . . . . . . . . . . . . . . . . 6, 7

Kaplansky, Irving. . . . . . . . . . . . . . . . . . . . . . . . . . . 7

Kitaev, A. Yu. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Klima, Richard E. . . . . . . . . . . . . . . . . . . . . . . . . . 20

Knobel, Roger . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

The Knot Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Knots and Links . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Knots and Surfaces: A Guide to Discovering Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

Koch, Helmut. . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

Kodaira, Kunihiko . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Körner, T. W. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

Krantz, Steven G . . . . . . . . . . . . . . . . . . . . . 9, 18, 20

Kühnel, Wolfgang . . . . . . . . . . . . . . . . . . . . . . . . . 15

Lectures on Harmonic Analysis . . . . . . . . . . . . . . . . . 9

Lesigne, Emmanuel . . . . . . . . . . . . . . . . . . . . . . . . 21

Lieb, Elliott H. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Loss, Michael . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Loustaunau, Philippe . . . . . . . . . . . . . . . . . . . . . . . 12

Mac Lane, Saunders . . . . . . . . . . . . . . . . . . . . . . . . 4

Mathematical Modelling. . . . . . . . . . . . . . . . . . . . . 10

The Mathematics of Voting and Elections: A Hands-On Approach . . . . . . . . . . . . . . . . . . . . 20

Matrix Groups for Undergraduates . . . . . . . . . . . . . . 4

Author/Title Index

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Author/T

itle Index

McCleary, John. . . . . . . . . . . . . . . . . . . . . . . . . . . 16

McCollum, Samantha . . . . . . . . . . . . . . . . . . . . . . 10

Milman, Vitali. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Miranda, Rick . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Montiel, Sebastián. . . . . . . . . . . . . . . . . . . . . . . . . 15

Morgan, Frank . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

Morita, Shigeyuki . . . . . . . . . . . . . . . . . . . . . . . . . 15

Morrow, James . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Moser, Jürgen . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Notes on Dynamical Systems . . . . . . . . . . . . . . . . . . 11

Nowak, M. T. . . . . . . . . . . . . . . . . . . . . . . . . . . . 6, 7

Number Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

Partial Differential Equations . . . . . . . . . . . . . . . . 11

Plato, Robert . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Portraits of the Earth . . . . . . . . . . . . . . . . . . . . . . . 12

A Primer of Mathematical Writing . . . . . . . . . . . . . 20

Principles of Functional Analysis . . . . . . . . . . . . . . . . 8

Probability Theory in Finance . . . . . . . . . . . . . . . . . 21

Probability Theory . . . . . . . . . . . . . . . . . . . . . . . . . 21

Problems in Mathematical Analysis I . . . . . . . . . . . . . 6

Problems in Mathematical Analysis II . . . . . . . . . . . . 6

Problems in Mathematical Analysis III . . . . . . . . . . . 7

Real Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

Real Analysis and Applications . . . . . . . . . . . . . . . . . 6

Rolfsen, Dale . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Ros, Antonio . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Saari, Donald G. . . . . . . . . . . . . . . . . . . . . . . . . . . 20

Schechter, Martin . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Scorpan, Alexandru . . . . . . . . . . . . . . . . . . . . . . . . 16

Set Theory and Metric Spaces. . . . . . . . . . . . . . . . . . . 7

Shen, A. H.. . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 17

Snell, J Laurie . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Solving Systems of Polynomial Equations . . . . . . . . . . . 5

Stahl, Saul. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

Stanford, Theodore B. . . . . . . . . . . . . . . . . . . . . . . 19

Sturmfels, Bernd . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Tapp, Kristopher . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Techniques of Problem Solving . . . . . . . . . . . . . . . . . 18

Transformation Groups for Beginners. . . . . . . . . . . . . 4

Tsolomitis, Antonis . . . . . . . . . . . . . . . . . . . . . . . . . 8

van Roode, Thea . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Varadarajan, V. S. . . . . . . . . . . . . . . . . . . . . . . . . . 18

Varadhan, S. R. S. . . . . . . . . . . . . . . . . . . . . . . . . . 21

Vereshchagin, N. K.. . . . . . . . . . . . . . . . . . . . . . . . 17

Vinberg, E. B.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Vyalyi, M. N. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

The Wild World of 4-Manifolds . . . . . . . . . . . . . . . . 16

Williams, R. J.. . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Wolff, Thomas H. . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Zehnder, Eduard J. . . . . . . . . . . . . . . . . . . . . . . . . 11

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