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The American Mathematical Society 2006 Course Adoption Catalog
Featuring graduate and undergraduatepublications suitable for use as textbooksand supplementary course reading.
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
GRADUATE
PROFESSIONAL
UNDERGRAD / GRAD
UNDERGRADUATE
For your convenience, eachbook has been labeled with its individual readership level.
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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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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
4
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
ebra
and
Alg
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ic G
eom
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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
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
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
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
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
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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
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
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
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
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
mat
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/ G
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etry
and
Top
olog
y
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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EXAM INAT I ON COPY
Order your exam copy online by visiting www.ams.org/bookstore-exam-copy
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).
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
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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
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
Techniques ofProblem Solving
Steven G. Krantz
American Mathematical SocietyΑΓ
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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
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tere
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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
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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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
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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
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
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Probability
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* 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
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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
23For more information on these titles visit www.ams.org/bookstore
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
Non-profit Org.U. S. Postage
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