AMS Textbooks for Math Students
AMS Textbooks for Math Students
TEXTBOOKS
FROM THE AMS
TEXTBOOKS
FROM THE AMS
Introduction
TEXTBOOKS
TEXTBOOK FROM THE AMS
TEXTBOOKS
FROM THE AMS
The American Mathematical Society is pleased to present
you with a comprehensive list of our most timely and
best-selling textbooks. These titles will appeal to students
and professors alike. They will spark students’ interest
in modern mathematics and will fuel their appreciation
for research. Most of the titles are specifically designed
as undergraduate or graduate texts, but also are suitable
for recommended and/or supplemental course reading.
All books in this brochure make ideal independent study
resources.
TABLE OF CONTENTS
TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK
TEXTBOOKS
subject at the beginning graduate or upper undergraduate field of finite group theory. Volume 92
level. The primary distinguishing feature of this book, —Mathematical Reviews American Mathematical Society
compared to standard textbooks in algebra, is the early Graduate Studies in Mathematics, Volume 92
introduction of categories, used as a unifying theme in the 2008; 350 pp.; hardcover; ISBN: 978-0-8218-4344-4; List US$59;
presentation of the main topics. AMS members US$47; Order code: GSM/92
Graduate Studies in Mathematics, Volume 104
2009; approximately 728 pp.; hardcover; ISBN: 978-0-8218-4781-7;
List US$89; AMS members US$71; Order code: GSM/104 UNDERGRAD / GRAD
UNDERGRAD / GRAD
TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK
TEXTBOOKS
FROM THE AMS
Algebra and Algebraic Geometry | Analysis
GRADUATE UNDERGRADUATE
Louis Halle Rowen The book is consistently organized in several layers Linear algebra permeates mathematics, as well as physics
(main text, supplements, appendices), which makes it and engineering. In this text for junior and senior under-
a valuable source for readers of various levels, from graduates, Sadun treats diagonalization as a central tool
in solving complicated problems in these subjects by
Graduate Studies
in Mathematics graduate students to researchers.
Volume 73 reducing coupled linear evolution problems to a sequence
—European Mathematical Society Newsletter
of simpler decoupled problems.
Graduate Studies in Mathematics, Volume 73 2008; 371 pp.; hardcover; ISBN: 978-0-8218-4441-0; List US$59;
2006; 438 pp.; hardcover; ISBN: 978-0-8218-0570-1; List US$65; AMS members US$47; Order code: MBK/50
AMS members US$52; Order code: GSM/73
UNDERGRAD / GRAD
GRADUATE
A Course A Course
Algebraic Curves and Riemann Surfaces in Algebra in Algebra
Rick Miranda, Colorado State University, Ft. Collins, CO E. B. Vinberg,
Moscow State
One of the best introductory textbooks on the theory of University, Russia E. B. Vinberg
ANALYSIS
UNDERGRAD / GRAD
GRADUATE
TEXTBOOKS
FROM THE AMS
Analysis
GRADUATE UNDERGRAD / GRAD
This is a great introductory book to Fourier analysis With the same mastery as in his 'Real Analysis' the
on Euclidean spaces and can serve as a textbook in author now offers us this excellent textbook on
an introductory graduate course on the subject … The Fourier analysis: Fourier series, orthogonal systems,
chapters on the Hardy-Littlewood maximal function Bessel functions, Fourier and Laplace transforms,
and the Hilbert transform are extremely well written … which are all very powerful mathematical tools in
this is a great book and is highly recommended as an many a scientific domain. Without being exhaustive
introductory textbook to Fourier analysis. The students and without falling into a profusion of boring details,
will have a lot to benefit from in the simple and quick it nevertheless gives a panorama of these topics that
presentation of the book. is as complete as the framework of the book allows.
—Mathematical Reviews Thus this text, which is designed for courses at the
Graduate Studies in Mathematics, Volume 29 advanced undergraduate level and beyond, will also
2001; 222 pp.; hardcover; ISBN: 978-0-8218-2172-5; List US$39; serve as a useful reference book.
AMS members US$31; Order code: GSM/29 —Mathematical Reviews
Pure and Applied Undergraduate Texts, Volume 4
1992; 433 pp.; hardcover; ISBN: 978-0-8218-4790-9; List US$72;
AMS members US$58; Order code: AMSTEXT/4
GRADUATE
Functional Analysis
UNDERGRADUATE
An Introduction u Instructor’s Manual Available
Yuli Eidelman and Vitali Milman, Tel Aviv University, Introduction to Analysis
Israel, and Antonis Tsolomitis, University of the Aegean,
Fifth Edition
Samos, Greece
Edward D. Gaughan, New Mexico State University,
This is a gentle introduction to functional analysis that Las Cruces, NM
is clearly written and comes with detailed, elegant and Introduction to Analysis is designed to bridge the gap
effective proofs and well-chosen examples. ... This book between the intuitive calculus usually offered at the under-
is written with great care and with much sympathy to graduate level and the sophisticated analysis courses the
the reader. It is pleasant to read... It is simply a good student encounters at the graduate level.
book to learn the foundations of functional analysis. An instructor’s manual for this title is available electronically.
Please send email to textbooks@ams.org for more information.
—Zentralblatt MATH
Pure and Applied Undergraduate Texts, Volume 1
Graduate Studies in Mathematics, Volume 66
1998; 240 pp.; hardcover; ISBN: 978-0-8218-4787-9; List US$62;
2004; 322 pp.; hardcover; ISBN: 978-0-8218-3646-0; List US$58; AMS
AMS members US$50; Order code: AMSTEXT/1
members US$46; Order code: GSM/66
GRADUATE
UNDERGRADUATE
u Instructor’s Manual Available Function Theory of One Complex Variable
Advanced Calculus Third Edition
Second Edition Robert E. Greene, University of California, Los Angeles,
Patrick M. Fitzpatrick, University of Maryland, CA, and Steven G. Krantz, Washington University, St.
College Park, MD Louis, MO
This self-contained book is intended as a text for courses From a review of the first edition:
that furnish the backbone of the student's undergraduate
education in mathematical analysis. Supplemented with The book is carefully and precisely written in a lively
numerous exercises, Advanced Calculus is a perfect book and soft style. It is extremely clear, very explicative
for undergraduate students of analysis. and very detailed. Moreover, it is stimulating and very
An instructor’s manual for this title is available electronically. suitable for self-study. Therefore a beginning student
Please send email to textbooks@ams.org for more information. will probably have no difficulty using it as a textbook.
Pure and Applied Undergraduate Texts, Volume 5 —Mathematical Reviews
2006; 590 pp.; hardcover; ISBN: 978-0-8218-4791-6; List US$82; Graduate Studies in Mathematics, Volume 40
AMS members US$66; Order code: AMSTEXT/5
2006; 504 pp.; hardcover; ISBN: 978-0-8218-3962-1; List US$79;
AMS members US$63; Order code: GSM/40.R
TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK
TEXTBOOKS
FROM THE AMS
Analysis
Analysis
GRADUATE
Second Edition
Elliott H. Lieb, Princeton University, NJ, and Michael Introduction to Fourier Analysis and
Loss, Georgia Institute of Technology, Atlanta, GA Wavelets
Mark A. Pinsky, Northwestern University, Evanston, IL
The essentials of modern analysis … are presented in a
rigorous and pedagogical way … readers … are guided This book provides a concrete introduction to a number
to a level where they can read the current literature with of topics in harmonic analysis, accessible at the early
graduate level or, in some cases, at an upper undergraduate
understanding … treatment of the subject is as direct as
level. The text contains numerous examples and more than
possible. 200 exercises, each located in close proximity to the related
—Zentralblatt MATH theoretical material.
Graduate Studies in Mathematics, Volume 14 Graduate Studies in Mathematics, Volume 102
2001; 346 pp.; hardcover; ISBN: 978-0-8218-2783-3; List US$43; 2002; 376 pp.; hardcover; ISBN: 978-0-8218-4797-8; List US$69;
AMS members US$34; Order code: GSM/14.R AMS members US$55; Order code: GSM/102
UNDERGRADUATE GRADUATE
UNDERGRAD / GRAD
TEXTBOOKS
Analysis | Applications
GRADUATE
TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK
TEXTBOOKS
DIFFERENTIAL EQUATIONS
FROM THE AMS
DISCRETE MATHEMATICS AND
COMBINATORICS
GRADUATE
L
S O CI E T Y
TEXTBOOKS
PROFESSIONALS
The Mathematics of Voting and Elections: Many references are given but the book is largely
A Hands-On Approach self-contained. The authors have done a remarkable
Jonathan K. Hodge, Grand Valley State University, job of giving a seamless presentation of material
Allendale, MI, and Richard E. Klima, Appalachian State at very different levels of difficulty. Teachers and
University, Boone, NC students will appreciate this book both for the
information it contains and as a model of expository
The book by Hodge and Klima is an excellent entry into
writing.
this field ... has plenty of material for a one-semester
—Mathematical Reviews
course ... friendly and clear style that students will
2007; 338 pp.; hardcover; ISBN: 978-0-8218-4403-8; List US$49;
appreciate ... well-written and well-edited ... Every AMS members US$39; Order code: MBK/48
instructor teaching this subject should consider this as
the textbook...
—MAA Reviews
Mathematical World, Volume 22
2005; 226 pp.; softcover; ISBN: 978-0-8218-3798-6; List US$37;
AMS members US$30; Order code: MAWRLD/22
TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK
TEXTBOOKS
FROM THE AMS
General and Interdisciplinary | Geometry and Topology
UNDERGRADUATE GRADUATE
Mathematical World • Volume 13
problems of mathematics, but also informs them about Portraits of the Earth
the process of solving these problems. The text gives
A Mathematician Looks at Maps
compelling examples that capture students' interest and
encourages them to work problems at the end of the Timothy G. Feeman, Villanova University, PA
chapter ... Although the book would be excellent for a
Includes necessary details without getting bogged down
senior-level capstone course in mathematics, it would
in small details or putting in so much that it would
also appeal to advanced lower-division or strong high
turn off non-math majors. The writing is formal and
school students as well.
engaging. The book can be used in a formal course with
—The Mathematics Teacher
1997; 465 pp.; softcover; ISBN: 978-0-8218-0619-7; List US$38;
a group of students, independent study with one student,
AMS members US$30; Order code: TPS or just by a professor who wishes to learn more ... I
recommend this for yourselves, for your bookshelves,
and for your students.
—MAA Online
Mathematical World, Volume 18
2002; 123 pp.; softcover; ISBN: 978-0-8218-3255-4; List US$28; AMS
members US$22; Order code: MAWRLD/18
TEXTBOOKS
FROM THE AMS
GRADUATE
UNDERGRAD / GRAD
UNDERGRAD / GRAD
TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK
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FROM THE AMS
NUMBER THEORY
Geometry and Topology | Mathematical Physics | Number Theory
GRADUATE
theory of quadratic
forms. The author
is clearly an expert on the area as well as a
UNDERGRAD / GRAD masterful teacher. ... It should be included in the
collection of any quadratic forms enthusiast.
Elementary Topology —MAA Reviews
Problem Textbook Graduate Studies in Mathematics, Volume 90
O. Ya. Viro, Stony Brook University, NY, O. A. Ivanov, 2008; 255 pp.; hardcover; ISBN: 978-0-8218-4465-6;
Steklov Institute of Mathematics, St. Petersburg, Russia, List US$55; AMS members US$44; Order code: GSM/90
N. Yu. Netsvetaev, St. Petersburg State University,
Russia, and V. M. Kharlamov, University Louis Pasteur,
Strasbourg, Cedex, France
This text contains a detailed introduction to general
UNDERGRADUATE
topology and an introduction to algebraic topology via
its most classical and elementary segment. Proofs of Mathematical Ciphers
theorems are separated from their formulations and are
gathered at the end of each chapter, making this book From Caesar to RSA
appear like a problem book and also giving it appeal to Anne L. Young, Loyola College in Maryland,
the expert as a handbook. The book includes about 1,000 Baltimore, MD
exercises.
Throughout history, many different coding schemes have
2008; 400 pp.; hardcover; ISBN: 978-0-8218-4506-6; List US$59; been devised. One of the oldest and simplest math-
AMS members US$47; Order code: MBK/54
ematical systems was used by Julius Caesar. This is where
Mathematical Ciphers begins. Building on that simple
system, Young moves on to more complicated schemes,
ultimately ending with the RSA cipher, which is used to
provide security for the Internet. Mathematical Ciphers
can be used as a textbook for an introductory course in
mathematics for all majors.
MATHEMATICAL PHYSICS Mathematical World, Volume 25
2006; 159 pp.; softcover; ISBN: 978-0-8218-3730-6; List US$29;
AMS members US$23; Order code: MAWRLD/25
GRADUATE
Quantum
Mechanics for Quantum Mechanics for Mathematicians
Mathematicians Leon A. Takhtajan, Stony Brook University, NY
Volume 95
—Michael Berg for MAA Reviews
Graduate Studies in Mathematics, Volume 95
American Mathematical Society
TEXTBOOKS
PROBABILITY
FROM THE AMS
Probability
UNDERGRADUATE
Introduction to
Introduction to Probability
UNDERGRAD / GRAD Second Revised Edition
PROBABILITY
Probability Theory in Finance Charles M. Grinstead, Swarthmore College, PA, and
J. Laurie Snell, Dartmouth College, Hanover, NH Charles M. Grinstead
A Mathematical Guide to J. Laurie Snell
the Black-Scholes Formula The book is a beautiful introduction to probability
Seán Dineen, University College Dublin, Ireland theory at the beginning level. The book contains a
lot of examples and an easy development of theory
For budding financial engineers, this is an outstanding without any sacrifice of rigor, keeping the abstraction
introduction to the mathematics that underlies to a minimal level. It is indeed a valuable addition to M
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derivatives pricing theory.... It also offers plenty of
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ΕΙΣΙΤΩ
ΑΓΕΩΜΕ
SO CIETY
American Mathematical Society
AM
the study of probability theory
FO 8
U N D ED 188
GRADUATE
TEXTBOOKS
INDEX TEXTBOOK
TEXTBOOKS
FROM THE AMS
Index
Abraham, Ralph������������������������ 8 Elements of Homology Theory���� 12 Katznelson, Yonatan R.�������������� 3 Probability Theory
in Finance���������������������������� 13
Abstract Algebra������������������������ 4 Evans, Lawrence C. ������������������ 8 Kharlamov, V. M.�������������������� 12
Probability: The Science
Adams, William W.�������������������� 8 Farmer, David W.���������������������� 9 Khoshnevisan, Davar���������������� 13 of Uncertainty���������������������� 13
Advanced Calculus�������������������� 5 Feeman, Timothy G. �������������� 10 Kincaid, David�������������������������� 7 Quantum Mechanics
Aigner, Martin�������������������������� 8 Finite Group Theory ������������������ 3 Klima, Richard E.���������������������� 9 for Mathematicians �������������� 12
Algebra: Chapter 0�������������������� 3 Fitzpatrick, Patrick M. �������������� 5 Knots and Surfaces�������������������� 9 Real Analysis ���������������������������� 6
Algebraic Curves and Folland, Gerald B. �������������������� 5 Krantz, Steven G.������������5, 9, 10 Real Analysis
Riemann Surfaces������������������ 4 and Applications�������������������� 6
Foundations of Kühnel, Wolfgang�������������������� 11
Algebra: A Graduate Course������ 3 Mechanics ������������������������������ 8 Richmond, Bettina�������������������� 8
Lanski, Charles�������������������������� 3
Algebra: Third Edition �������������� 3 Fourier Analysis ������������������������ 5 Richmond, Thomas ������������������ 8
Lessons in Geometry������������������ 11
Aluffi, Paolo������������������������������ 3 Fourier Analysis and Its Roots to Research������������������������ 9
Applications���������������������������� 5 Levin, David A. ���������������������� 13
Analysis ������������������������������������ 6 Ros, Antonio �������������������������� 11
Function Theory of One Lieb, Elliott H.�������������������������� 6
Applied Asymptotic Rowen, Louis Halle ������������������ 4
Complex Variable�������������������� 5 Light, Will�������������������������������� 4
Analysis���������������������������������� 6 Sadun, Lorenzo ������������������������ 4
Functional Analysis�������������������� 5 Linear Algebra in Action ���������� 3
Applied Linear Sally, Judith D.�������������������������� 9
Algebra���������������������������������� 4 Garabedian, P. R.���������������������� 8 Loss, Michael���������������������������� 6
Sally, Paul J., Jr. ��������������������6, 9
Approximately Calculus�������������� 7 Gaughan, Edward D.���������������� 5 Loustaunau, Philippe ���������������� 8
Sarason, Donald������������������������ 6
Barker, William������������������������ 10 A Gentle Introduction Mac Lane, Saunders������������������ 3
to Game Theory�������������������� 10 Schechter, Martin���������������������� 7
Basic Quadratic Forms ������������ 12 Markov Chains and
Geometry for College Students �� 11 Mixing Times������������������������ 13 Shahriari, Shahriar��������������������� 7
Bean, Michael A. �������������������� 13
Geometry of Manifolds�������������� 10 Marsden, Jerrold E. ������������������ 8 Snell, J. Laurie������������������������ 13
Beginning Topology������������������ 10
Gerstein, Larry J.�������������������� 12 Mathematical Ciphers�������������� 12 Solomon, Ronald���������������������� 4
Birkhoff, Garrett������������������������3
Goodman, Sue E.�������������������� 10 The Mathematics Stahl, Saul������������������������������� 10
Bishop, Richard L.������������������ 10
Goodman, Victor���������������������� 7 of Finance������������������������������ 7 Stampfli, Joseph������������������������ 7
Cheney, Ward������������������������4, 7
Graduate Algebra: The Mathematics of Voting Stanford, Theodore B. �������������� 9
Complex Function Commutative View����������������� 4 and Elections: A Hands-On
Theory������������������������������������ 6 Approach�������������������������������� 9 Takhtajan, Leon A.������������������ 12
Greene, Robert E. �������������������� 5
Complex Made Simple���������������� 7 Measure Theory Taylor, Michael E. �������������������� 7
Grinstead, Charles M�������������� 13 and Integration���������������������� 7
Concepts in Abstract Algebra������ 3 Techniques of
Groups and Symmetry: A Guide Miller, Peter D. ������������������������ 6 Problem Solving�������������������� 10
Concise Numerical to Discovering Mathematics ���� 9
Mathematics �������������������������� 7 Milman, Vitali �������������������������� 5 A (Terse) Introduction to
Hadamard, Jacques������������������ 11 Linear Algebra ���������������������� 3
Continuous Symmetry�������������� 10 Miranda, Rick���������������������������� 4
Helgason, Sigurdur������������������ 11 Tools of the Trade������������������������6
A Course in Algebra������������������ 4 Montiel, Sebastián ������������������ 11
Hodge, Jonathan K.������������������ 9 Topics in Applied
A Course in Approximation Morgan, Frank�������������������������� 6 Abstract Algebra�������������������� 4
Theory������������������������������������ 4 How to Teach Mathematics,
Second Edition������������������������ 9 Nagpaul, S. R. �������������������������� 4 Tsolomitis, Antonis�������������������� 5
Crittenden, Richard J. ������������ 10
Howe, Roger�������������������������� 10 Netsvetaev, N. Yu. ������������������ 12 Ullrich, David C. ���������������������� 7
Curves and Surfaces ���������������� 11
Introduction to Analysis ������������ 5 Nevanlinna, Rolf������������������������ 6 Varadhan, S. R. S.�������������������� 13
Differential Geometry�������������� 11
Introduction to Complex Numerical Analysis�������������������� 7 A View from the Top ������������������ 9
Differential Geometry, Lie Analysis���������������������������������� 6
Groups, and Symmetric Paatero, Veikko�������������������������� 6 Vinberg, E. B. �������������������������� 4
Spaces ���������������������������������� 11 Introduction to Fourier Partial Differential Equations���� 8
Analysis and Wavelets������������� 6 Viro, O. Ya. ���������������������������� 12
Dineen, Seán �������������������������� 13 Peres, Yuval ���������������������������� 13
An Introduction to Wilmer, Elizabeth L.���������������� 13
Discrete Mathematics������������������ 8 Gröbner Bases�������������������������� 8 Pinsky, Mark A. ������������������������ 6 Young, Anne L. ���������������������� 12
A Discrete Transition to Introduction to Plato, Robert���������������������������� 7
Advanced Mathematics ���������� 8 Probability���������������������������� 13
Portraits of the Earth��������������� 10
Duoandikoetxea, Javier�������������� 5 Iosevich, Alex���������������������������� 9
Prasolov, V. V. ������������������11, 12
Dym, Harry������������������������������ 3 Isaacs, I. Martin������������������3, 11
Principles of
Eidelman, Yuli �������������������������� 5 Ivanov, O. A. �������������������������� 12 Functional Analysis���������������� 7
Elementary Topology ���������������� 12 Jain, S. K.���������������������������������� 4 Probability ������������������������������ 13
Elements of Combinatorial and Katznelson, Yitzhak ������������������ 3 Probability Theory�������������������� 13
Differential Topology ������������ 11
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