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AMS Textbooks for Math Students

The document is a brochure from the American Mathematical Society promoting their selection of textbooks. It features over 15 textbooks across various fields of mathematics including algebra, analysis, differential equations, geometry, and more. The textbooks are designed for both undergraduate and graduate level courses as well as independent study. The brochure provides brief summaries and reviews of each textbook and information on how to request exam or desk copies.

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Sharan Rathod
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© © All Rights Reserved
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100% found this document useful (1 vote)
571 views15 pages

AMS Textbooks for Math Students

The document is a brochure from the American Mathematical Society promoting their selection of textbooks. It features over 15 textbooks across various fields of mathematics including algebra, analysis, differential equations, geometry, and more. The textbooks are designed for both undergraduate and graduate level courses as well as independent study. The brochure provides brief summaries and reviews of each textbook and information on how to request exam or desk copies.

Uploaded by

Sharan Rathod
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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TEXTBOOK

TEXTBOOKS
FROM THE AMS

AMERICAN MATHEMATICAL SOCIETY TEXTBOOK


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.

For more information about AMS Textbooks:


www.ams.org/bookstore/textbooks

Request an exam copy:


www.ams.org/bookstore-exam-copy

Request a desk copy:


www.ams.org/bookstore-desk-copy

TABLE OF CONTENTS

3 Algebra and Algebraic Geometry


4 Analysis
7 Applications
8 Differential Equations
8 Discrete Mathematics and Combinatorics
9 General and Interdisciplinary
10 Geometry and Topology
12 Mathematical Physics
12 Number Theory
13 Probability
14 Index
15 Ordering Information
15 Exam or Desk Copy Request Form

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


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

TEXTBOOKS

ALGEBRA AND ALGEBRAIC FROM THE AMS

Algebra and Algebraic Geometry


GRADUATE

GEOMETRY Finite Group Theory Finite Group


I. Martin Isaacs, University of Wisconsin, Madison, WI
Theory
GRADUATE
As might be expected from a book by Isaacs, although
I. Martin Isaacs
Algebra: Chapter 0 the topics are familiar, almost every chapter contains
Paolo Aluffi, Florida State University, Tallahassee, FL unexpected gems not to be found in most basic
textbooks. ... Surely many readers will be inspired by
Algebra: Chapter 0 is a self-contained introduction to the
this book to continue their study of the fascinating Graduate Studies

main topics of algebra, suitable for a first sequence on the in Mathematics

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

A (Terse) Introduction to Linear Algebra


Yitzhak Katznelson, Stanford University, CA, and
Yonatan R. Katznelson, University of California, Santa
UNDERGRAD / GRAD
Cruz, CA
Linear Algebra in Action
The book is written in an elegant, condensed way.
Harry Dym, Weizmann Institute of Science,
It contains many exercises, mostly of theoretical
Rehovot, Israel
character. The main advantage (in particular for
It is a wonderful book: very accessible and rigorous teachers and talented students) is that basic ideas are
[at] the same time, containing basic and not-so- carefully isolated and presented in a simple, minimal
basic facts, discussing many (sometimes unexpected) and understandable way.
applications... —European Mathematical Society Newsletter
—MAA Reviews Student Mathematical Library, Volume 44
2008; 215 pp.; softcover; ISBN: 978-0-8218-4419-9; List US$35;
Graduate Studies in Mathematics, Volume 78
AMS members US$28; Order code: STML/44
2007; 545 pp.; hardcover; ISBN: 978-0-8218-3813-6; List US$79;
AMS members US$63; Order code: GSM/78

UNDERGRAD / GRAD

Concepts in Abstract Algebra


GRADUATE Charles Lanski, University of Southern California,
Los Angeles, CA
Algebra
The style and structure of Concepts in Abstract Algebra
A Graduate Course
are designed to help students learn the core concepts and
I. Martin Isaacs, University of Wisconsin, Madison, WI associated techniques in algebra deeply and well.
Available exclusively from the AMS.
This is a book to be warmly welcomed. The
Brooks/Cole: Cengage Learning, Volume 14
presentation throughout is a model of clarity, and the
2005; 550 pp.; hardcover; ISBN: 978-0-534-42323-0; List US$89;
proofs are precise and complete. The careful reader will AMS members US$71; Order code: CENGAGE/14
learn from it not only much mathematics but also (and
more importantly) how to think mathematically.
—Mathematical Reviews UNDERGRAD / GRAD

Graduate Studies in Mathematics, Volume 100


Algebra
1994; 516 pp.; hardcover; ISBN: 978-0-8218-4799-2; List US$79;
AMS members US$63; Order code: GSM/100 Third Edition
Saunders Mac Lane and Garrett Birkhoff

The book is clearly written, beautifully organized, and


has an excellent and wide-ranging supply of exercises
… contains ample material for a full-year course on
modern algebra at the undergraduate level.
—Mathematical Reviews
AMS Chelsea Publishing, Volume 330
1988; 626 pp.; hardcover; ISBN: 978-0-8218-1646-2; List US$62;
AMS members US$56; Order code: CHEL/330.H

For more information on these titles visit www.ams.org/bookstore/textbooks 3


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK

TEXTBOOKS
FROM THE AMS
Algebra and Algebraic Geometry | Analysis

GRADUATE UNDERGRADUATE

Graduate Algebra: Graduate Algebra: Commutative View Applied Linear Algebra


Commutative View Louis Halle Rowen, Bar-Ilan University, Ramat Gan, The Decoupling Principle, Second Edition
Israel Lorenzo Sadun, University of Texas, Austin, TX

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

algebraic curves and Riemann surfaces … very well


organized … plenty of examples … strongly recommend This is a masterly Graduate Studies
in Mathematics
this book as a textbook for an introduction to algebraic textbook on basic Volume 56

curves and Riemann surfaces … One of my students algebra. It is, at


said that this is one of a very few books in algebraic the same time,
geometry that he can read and understand. demanding and
—Pawel Gajer, Johns Hopkins University down-to-earth,
Graduate Studies in Mathematics, Volume 5 challenging and user-friendly, abstract and
1995; 390 pp.; hardcover; ISBN: 978-0-8218-0268-7; List US$54; concrete, concise and comprehensible, and above
AMS members US$43; Order code: GSM/5 all extremely educating, inspiring and enlightening.
—Zentralblatt MATH
Graduate Studies in Mathematics, Volume 56
UNDERGRADUATE
2003; 511 pp.; hardcover; ISBN: 978-0-8218-3318-6;
List US$89; AMS members US$71; Order code: GSM/56
Abstract Algebra
Softcover Edition
Ronald Solomon, Ohio State University, Columbus, OH
2003; 511 pp.; softcover; ISBN: 978-0-8218-3413-8;
Everywhere in the text, the goal is to make clear the links List US$59; AMS members US$47; Order code: GSM/56.S
connecting abstract algebra to Euclidean geometry, high
school algebra, and trigonometry.
Pure and Applied Undergraduate Texts, Volume 9
2003; 227 pp.; hardcover; ISBN: 978-0-8218-4795-4; List US$62;
AMS members US$50; Order code: AMSTEXT/9

ANALYSIS
UNDERGRAD / GRAD
GRADUATE

Topics in Applied Abstract Algebra A Course in Approximation Theory


S. R. Nagpaul and S. K. Jain, Ohio University,
Ward Cheney, University of Texas at Austin, TX,
Athens, OH
and Will Light
I prefer this book over the competition because it is This textbook is designed for graduate students in math-
most rigorous and has a sounder mathematical basis. ematics, physics, engineering, and computer science. Its
—Edward Formanek, Pennsylvania State University purpose is to guide the reader in exploring contemporary
Available exclusively from the AMS.
approximation theory.
Graduate Studies in Mathematics, Volume 101
Brooks/Cole: Cengage Learning, Volume 15
2000; 359 pp.; hardcover; ISBN: 978-0-8218-4798-5; List US$69;
2005; 336 pp.; hardcover; ISBN: 978-0-534-41911-0; List US$69;
AMS members US$55; Order code: GSM/101
AMS members US$55; Order code: CENGAGE/15

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


TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

TEXTBOOKS
FROM THE AMS

Analysis
GRADUATE UNDERGRAD / GRAD

Fourier Analysis Fourier Analysis and Its Applications


Javier Duoandikoetxea, Universidad del País Gerald B. Folland, University of Washington,
Vasco/Euskal Herriko Unibertsitatea, Bilbao, Spain Seattle, WA

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

For more information on these titles visit www.ams.org/bookstore/textbooks 5


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK

TEXTBOOKS
FROM THE AMS
Analysis

GRADUATE UNDERGRAD / GRAD

Applied Applied Asymptotic Analysis Introduction to Complex Analysis


Asymptotic Peter D. Miller, University of Michigan, Ann Arbor, MI Second Edition
Analysis Rolf Nevanlinna and Veikko Paatero
What is really special about the book is that it includes
Peter D. Miller
discussions on a number of topics that are usually This is a textbook by one of the masters of Complex
not found in books on asymptotics ... very clear and Analysis. It is a crisp, direct, and surprisingly modern
student-friendly ... ideal textbook for a graduate course account of the basic material for a first course in
Graduate Studies
in Mathematics on asymptotic analysis. Highly recommended. Complex Analysis. ... In summary, the book remains
Volume 75
—Arno Kuijlaars for Journal of Approximation Theory an excellent reference for a first course in Complex
Graduate Studies in Mathematics, Volume 75 Analysis. It contains over 300 exercises.
2006; 467 pp.; hardcover; ISBN: 978-0-8218-4078-8; List US$69; —MAA Reviews
AMS members US$55; Order code: GSM/75
AMS Chelsea Publishing, Volume 310
1969; 350 pp.; hardcover; ISBN: 978-0-8218-4399-4; List US$49;
AMS members US$44; Order code: CHEL/310.H
GRADUATE

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

Real Analysis Tools of the Trade


Frank Morgan, Williams College, Williamstown, MA Introduction to Advanced Mathematics
Paul J. Sally, Jr., University of Chicago, IL
Reading your book is a refreshingly delightful change
from the usual emphasis on series, rather than This book provides a transition from the formula-full
topology, as a foundation of analysis. aspects of the beginning study of college level mathematics
—Robert Jones, University of Dusseldorf to the rich and creative world of more advanced topics. It is
designed to assist the student in mastering the techniques
Ideally suited as an undergraduate textbook, this of analysis and proof that are required to do mathematics.
complete book on real analysis will fit comfortably into
one semester. 2008; 193 pp.; hardcover; ISBN: 978-0-8218-4634-6; List US$49;
AMS members US$39; Order code: MBK/55
2005; 151 pp.; hardcover; ISBN: 978-0-8218-3670-5; List US$41;
AMS members US$33; Order code: REAL

UNDERGRAD / GRAD

UNDERGRADUATE Complex Function Theory


Real Analysis and Applications Second Edition
Including Fourier Series and the Calculus of Donald Sarason, University of California, Berkeley, CA
Variations
From a review of the previous edition:
Frank Morgan, Williams College, Williamstown, MA
The exposition is clear, rigorous, and friendly.
The text not only provides clear, logical proofs, but also
shows the student how to derive them. The excellent exer- —Zentralblatt MATH
cises come with select solutions in the back. This is a text Suitable for either an introductory graduate course or an
that makes it possible to do the full theory and significant undergraduate course for students with adequate prepara-
applications in one semester. tion.
2005; 197 pp.; hardcover; ISBN: 978-0-8218-3841-9; List US$41; 2007; 163 pp.; hardcover; ISBN: 978-0-8218-4428-1; List US$39;
AMS members US$33; Order code: REALAPP AMS members US$31; Order code: MBK/49

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


TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

TEXTBOOKS

APPLICATIONS FROM THE AMS

Analysis | Applications
GRADUATE

Principles of Functional Analysis


UNDERGRADUATE
Instructor’s Manual Available
Second Edition u

Martin Schechter, University of California, Irvine, CA The Mathematics of Finance


Modeling and Hedging
This excellent book provides an elegant introduction Victor Goodman and Joseph Stampfli, Indiana
to functional analysis … carefully selected problems University, Bloomington, IN
… This is a nicely written book of great value for
stimulating active work by students. It can be strongly This book is ideally suited for an introductory under-
graduate course on financial engineering. It explains
recommended as an undergraduate or graduate text, or
the basic concepts of financial derivatives, including
as a comprehensive book for self-study.
put and call options, as well as more complex deriva-
—European Mathematical Society Newsletter tives such as barrier options and options on futures
Graduate Studies in Mathematics, Volume 36 contracts. The book begins with binomial stock price
2002; 425 pp.; hardcover; ISBN: 978-0-8218-2895-3; List US$65; models, moves on to multistage models, then to the
AMS members US$52; Order code: GSM/36 Cox-Ross-Rubinstein option pricing process, and then
to the Black-Scholes formula. Each of the eleven chap-
ters includes a variety of exercises.
An instructor’s manual for this title is available electronically.
UNDERGRADUATE Please send email to textbooks@ams.org for more information.

Pure and Applied Undergraduate Texts, Volume 7


Approximately Calculus 2001; 250 pp.; hardcover; ISBN: 978-0-8218-4793-0; List US$62;
Shahriar Shahriari, Pomona College, Claremont, CA AMS members US$50; Order code: AMSTEXT/7

Approximately Calculus is intended for the reader who


has already had an introduction to calculus, but wants to
GRADUATE
engage the concepts and ideas at a deeper level. It is suit-
able as a text for an honors or alternative second semester Concise Numerical Mathematics
calculus course.
Robert Plato, Technical University of Berlin, Germany
2006; 292 pp.; hardcover; ISBN: 978-0-8218-3750-4; List US$49;
AMS members US$39; Order code: ACALC From a review of the German edition:
Appealing result of [the author’s] endeavours … The
presentation is concise … even instructors are offered
new views and insights … the author offers many
GRADUATE well-chosen exercises … The book really is a valuable
contribution to the literature on its subject.
Measure Theory and Integration
—Zentralblatt MATH
Michael E. Taylor, University of North Carolina,
Graduate Studies in Mathematics, Volume 57
Chapel Hill, NC
2003; 453 pp.; hardcover; ISBN: 978-0-8218-2953-0; List US$89;
AMS members US$71; Order code: GSM/57
The book is very understandable, requiring only a basic
knowledge of analysis. It can be warmly recommended Softcover Edition
2003; 453 pp.; softcover; ISBN: 978-0-8218-3414-5; List US$58;
to a broad spectrum of readers, to graduate students as AMS members US$46; Order code: GSM/57.S
well as young researchers.
—European Mathematical Society Newsletter
Graduate Studies in Mathematics, Volume 76 UNDERGRADUATE
u Instructor’s Manual Available
2006; 319 pp.; hardcover; ISBN: 978-0-8218-4180-8; List US$59; AMS
members US$47; Order code: GSM/76 Numerical Analysis
Mathematics of Scientific Computing,
Third Edition
David Kincaid and Ward Cheney,
UNDERGRAD / GRAD
University of Texas at Austin, TX
Complex Made Simple The subject of numerical analysis is treated from
David C. Ullrich, Oklahoma State University, a mathematical point of view, offering a complete
Stillwater, OK analysis of methods for scientific computing with
appropriate motivations and careful proofs.
This book is suitable for a first-year course in complex
analysis. The exposition is aimed directly at the students, From a review of a previous edition:
with plenty of details included. Good textbooks in this area are scarce, and this
Graduate Studies in Mathematics, Volume 97 one is better than several I have tried to use.
2008; 489 pp.; hardcover; ISBN: 978-0-8218-4479-3; List US$75; —Mathematical Reviews
AMS members US$60; Order code: GSM/97 An instructor’s manual for this title is available electronically.
Please send email to textbooks@ams.org for more information.

Pure and Applied Undergraduate Texts, Volume 2


2002; 788 pp.; hardcover; ISBN: 978-0-8218-4788-6;
List US$89; AMS members US$71; Order code: AMSTEXT/2

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


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK

TEXTBOOKS

DIFFERENTIAL EQUATIONS
FROM THE AMS
DISCRETE MATHEMATICS AND
COMBINATORICS
GRADUATE

Foundations Foundations of Mechanics UNDERGRAD / GRAD

of Mechanics Second Edition Discrete


Second Edition Ralph Abraham, University of California, Santa Cruz, Mathematics
CA, and Jerrold E. Marsden, California Institute of Martin Aigner, Freie
Ralph Abraham
Jerrold E. Marsden Technology, Pasadena, CA Universität Berlin,
Germany
Undoubtedly [the book] will be for years the
AMS CHELSEA PUBLISHING standard reference on symplectic geometry, analytical Praise for the
American Mathematical Society • Providence, Rhode Island
mechanics and symplectic methods in mathematical German edition:
physics.
—Zentralblatt MATH This book is a well-
written introduction
AMS Chelsea Publishing, Volume 364
to discrete mathematics and is highly
1978; 826 pp.; hardcover; ISBN: 978-0-8218-4438-0; List US$99;
AMS members US$89; Order code: CHEL/364.H recommended to every student of mathematics and
computer science as well as to teachers of these
topics.
—Mathematical Reviews
GRADUATE 2007; 388 pp.; hardcover; ISBN: 978-0-8218-4151-8;
List US$59; AMS members US$47; Order code: DISCMAT
Partial Differential Equations
P. R. Garabedian, New York University-Courant Institute
of Mathematical Sciences, NY
GRADUATE

Because of the author’s emphasis on constructive An Introduction to Gröbner Bases


methods for solving problems which are of physical
William W. Adams, University of Maryland,
interest, his book will likely be as welcome to the College Park, MD, and Philippe Loustaunau,
engineer and the physicist as to the mathematician … George Mason University, Fairfax, VA
The author and publisher are to be complimented on the
general appearance of the book. A very carefully crafted introduction to the theory and
—Mathematical Reviews some of the applications of Gröbner bases … contains
AMS Chelsea Publishing, Volume 325 a wealth of illustrative examples and a wide variety
1964; 672 pp.; hardcover; ISBN: 978-0-8218-1377-5; List US$62; of useful exercises, the discussion is everywhere well
AMS members US$56; Order code: CHEL/325.H motivated, and further developments and important
issues are well sign-posted … has many solid virtues
and is an ideal text for beginners in the subject …
certainly an excellent text.
GRADUATE —Bulletin of the London Mathematical Society

Partial Differential Equations Graduate Studies in Mathematics, Volume 3


Partial 289 pp.; hardcover; ISBN: 978-0-8218-3804-4; List US$43;
Differential Lawrence C. Evans, University of California, AMS members US$34; Order code: GSM/3
Equations Berkeley, CA

Lawrence C. Evans In this textbook on partial differential equations


UNDERGRADUATE
u Instructor’s Manual Available
(PDE) the author gives a broad survey of many
u Student Manual Available
important topics in this area. Generally the approach A Discrete Transition
Graduate Studies
in Mathematics
of the author is to explain the fundamental ideas to Advanced Mathematics
Volume 19
of a subject in a clearest possible setting, and to
Bettina Richmond and Thomas Richmond,
emphasize the importance of nonlinear concepts and
EMAT
ATH IC
M
A
A M E R I CA N

L
S O CI E T Y

American Mathematical Society


FO
U ND
E D 18
8 8

Western Kentucky University, Bowling Green, KY


of generalized solutions. Highly recommend the book
for students as well as for lectures in PDE. Aimed at bridging the gap between lower-level math-
—Monatshefte für Mathematik ematics and advanced mathematics this well-written book
offers a wealth of examples to develop an understanding of
Graduate Studies in Mathematics, Volume 19
discrete mathematics and critical thinking skills.
1998; 662 pp.; hardcover; ISBN: 978-0-8218-0772-9; List US$83;
An instructor’s manual for this title is available electronically.
AMS members US$66; Order code: GSM/19 Please send email to textbooks@ams.org for more information.
A student manual with solutions to selected problems is available electroni-
cally at www.ams.org/bookstore/pspdf/amstext-3-solutions.pdf.

Pure and Applied Undergraduate Texts, Volume 3


2004; 424 pp.; hardcover; ISBN: 978-0-8218-4789-3; List US$72;
AMS members US$58; Order code: AMSTEXT/3

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


TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

TEXTBOOKS

GENERAL AND INTERDISCIPLINARY


FROM THE AMS

General and Interdisciplinary


UNDERGRADUATE

A View from the Top


UNDERGRADUATE Analysis, Combinatorics and Number Theory
Groups and Symmetry: A Guide to Alex Iosevich, University of Missouri, Columbia, MO
Discovering Mathematics
...a tremendous asset and an endless source of
David W. Farmer, Bucknell University, Lewisburg, PA inspiration...
—European Mathematical Society Newsletter
Nicely produced and concentrates on the informal
analysis of geometrical patterns with the emphasis This book is based on a capstone course that the
on informality … could serve as a useful collection of author taught to upper division undergraduate students
with the goal to explain and visualize the connections
activities to precede a formal course and would provide
between different areas of mathematics and the way
a range of intuitive experiences to which the more different subject matters flow from one another.
formal treatment could refer.
Student Mathematical Library, Volume 39
—The Mathematical Gazette
2007; 136 pp.; softcover; ISBN: 978-0-8218-4397-0; List US$29;
Mathematical World, Volume 5 AMS members US$23; Order code: STML/39
1996; 102 pp.; softcover; ISBN: 978-0-8218-0450-6; List US$22;
AMS members US$18; Order code: MAWRLD/5

PROFESSIONALS

UNDERGRAD / GRAD How to Teach Mathematics, Second Edition


Steven G. Krantz, Washington University, St. Louis, MO
Knots and Surfaces
A Guide to Discovering Mathematics Since the first edition of How to Teach Mathematics the
David W. Farmer, Bucknell University, Lewisburg, PA, increasing maturity of both traditionalist and reform
and Theodore B. Stanford, University of Nevada, movements has given Krantz more insights into the
Reno, NV teaching of mathematics. This book is a must read for
instructors preparing their courses for next semester.
The book is perfectly suited to a course for non-science —MAA Online
majors in need of fulfilling a math requirement. All the 1999; 307 pp.; softcover; ISBN: 978-0-8218-1398-0; List US$27; AMS
sections have worked well at sparking student interest members US$22; Order code: HTM/2
and convincing them that math is much more interesting
than mere number-crunching and graphing.
—Professor William Bloch, Wheaton College
Mathematical World, Volume 6 UNDERGRADUATE

1996; 101 pp.; softcover; ISBN: 978-0-8218-0451-3; List US$22;


AMS members US$18; Order code: MAWRLD/6
Roots to Research
A Vertical Development of Mathematical
Problems
Judith D. Sally, Northwestern University, Evanston, IL,
UNDERGRADUATE and Paul J. Sally, Jr., University of Chicago, IL

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

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


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK

TEXTBOOKS
FROM THE AMS
General and Interdisciplinary | Geometry and Topology

UNDERGRADUATE GRADUATE
Mathematical World • Volume 13

A Gentle Introduction to Game Theory Geometry of Manifolds


A Gentle Saul Stahl, University of Kansas, Lawrence, KS Richard L. Bishop, University of Illinois, Urbana, IL, and
Introduction to Richard J. Crittenden
GAME This book is an excellent introduction to the
From a review of the first edition:
mathematical aspects of game theory for beginners
THEORY without a background in calculus.
This book represents an excellent treatment of a wide
—Journal of Mathematical Psychology
Saul Stahl section of modern differential geometry … The style
Mathematical World, Volume 13
is elegant and at the same time considerate for the
1999; 176 pp.; softcover; ISBN: 978-0-8218-1339-3; List US$28;
AMS members US$22; Order code: MAWRLD/13
needs of a beginner … a great number of well chosen
problems with pertinent references … anybody who
American Mathematical Society

chooses to base his course on differential geometry at


the graduate level on this book could do no better.
—Mathematical Reviews
AMS Chelsea Publishing, Volume 344
UNDERGRADUATE 1964; 273 pp.; hardcover; ISBN: 978-0-8218-2923-3; List US$43;
AMS members US$39; Order code: CHEL/344.H
Techniques of Problem Solving
Steven G. Krantz, Washington University, St. Louis, MO

...not only introduces students to many of the great UNDERGRADUATE

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

GEOMETRY AND TOPOLOGY


UNDERGRADUATE
UNDERGRAD / GRAD

Continuous Symmetry Beginning Topology


Sue E. Goodman, University of North Carolina,
From Euclid to Klein
Chapel Hill, NC
William Barker, Bowdoin College, Brunswick, ME, and
Roger Howe, Yale University, New Haven, CT Beginning Topology is designed to give undergraduate
students a broad notion of the scope of topology in areas
The fundamental idea of geometry is that of symmetry. of point-set, geometric, combinatorial, differential, and
With that principle as the starting point, Barker and Howe algebraic topology, including an introduction to knot
begin an insightful and rewarding study of Euclidean theory.
geometry. Pure and Applied Undergraduate Texts, Volume 10
This text is for a one-semester undergraduate course on 2005; 236 pp.; hardcover; ISBN: 978-0-8218-4796-1; List US$62;
geometry. It is richly illustrated and contains hundreds AMS members US$50; Order code: AMSTEXT/10
of exercises.
2007; 544 pp.; hardcover; ISBN: 978-0-8218-3900-3; List US$69;
AMS members US$55; Order code: MBK/47

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


TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

TEXTBOOKS
FROM THE AMS

Geometry and Topology


UNDERGRADUATE UNDERGRADUATE

Lessons in Geometry Geometry for College Students


I. Plane Geometry I. Martin Isaacs, University of Wisconsin, Madison, WI
Jacques Hadamard An important difference of this book from the majority
This is a book in the tradition of Euclidean synthetic of modern college geometry texts is that it avoids
geometry written by one of the twentieth century's great axiomatics. This makes the book suitable to second- or
mathematicians. The original audience was pre-college third-year mathematics majors and also to secondary
teachers, but it is useful as well to gifted high school mathematics education majors.
students and college students, in particular, to math- Pure and Applied Undergraduate Texts, Volume 8
ematics majors interested in geometry from a more 2001; 222 pp.; hardcover; ISBN: 978-0-8218-4794-7; List US$62;
advanced standpoint. AMS members US$50; Order code: AMSTEXT/8
2008; 330 pp.; hardcover; ISBN: 978-0-8218-4367-3; List US$59;
AMS members US$47; Order code: MBK/57

GRADUATE
UNDERGRAD / GRAD

Differential Geometry, Lie Groups, Elements of Combinatorial and Differential


and Symmetric Spaces Topology
Sigurdur Helgason, Massachusetts Institute of V. V. Prasolov, Independent University of Moscow, Russia
Technology, Cambridge, MA
This book is a tour de force introduction to
One of the most important and excellent textbooks
combinatorial and differential topology ... The author
and a reference work about contemporary differential
strikes a perfect balance between rigor and intuition,
geometry …
which allows him to delve much deeper into the chosen
—Zentralblatt MATH
topics than is customary for an introductory topology
Graduate Studies in Mathematics, Volume 34 course.
2001; 641 pp.; hardcover; ISBN: 978-0-8218-2848-9; List US$76; —Mathematical Reviews
AMS members US$61; Order code: GSM/34
Graduate Studies in Mathematics, Volume 74
2006; 331 pp.; hardcover; ISBN: 978-0-8218-3809-9; List US$59;
AMS members US$47; Order code: GSM/74

UNDERGRAD / GRAD

Curves and Curves


Surfaces and Surfaces
UNDERGRAD / GRAD

Sebastián Montiel SECOND EDITION


Differential Geometry
and Antonio Ros,
Universidad de
Sebastián Montiel Curves – Surfaces – Manifolds, Second Edition Curves—Surfaces—
Antonio Ros Manifolds
Granada, Spain Wolfgang Kühnel, University of Stuttgart, Germany Second Edition

... the authors’ Graduate Studies


in Mathematics
From a review of the first edition:
exposition is Volume 69

It is extraordinarily welcome that this comprehensive


elegant. The proofs American Mathematical Society

textbook containing all the high points of differential


are detailed, good
geometry is now available in an English translation.
examples are
Required reading for all mathematicians!
selected, exercises are ample and hints for solving
—translated from International Mathematical News
the exercises are often provided.
—MAA Reviews Student Mathematical Library, Volume 16
2006; 380 pp.; softcover; ISBN: 978-0-8218-3988-1; List US$51;
This introductory textbook puts forth a clear and AMS members US$41; Order code: STML/16.R
focused point of view on the differential geometry
of curves and surfaces, emphasizing the global
aspects. The excellent collection of examples and
exercises (with hints) will help students in learning
the material.
This book is jointly published by the AMS and the Real
Sociedad Matemática Española (RSME).
Graduate Studies in Mathematics, Volume 69
2005; 376 pp.; hardcover; ISBN: 978-0-8218-3815-0;
List US$62; AMS members US$50; Order code: GSM/69

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


TEXTBOOK

TEXTBOOKS
TEXTBOOKS FROM THE AMS TEXTBOOK

TEXTBOOKS
FROM THE AMS
NUMBER THEORY
Geometry and Topology | Mathematical Physics | Number Theory

GRADUATE

Elements of Homology Theory


V. V. Prasolov, Independent University of Moscow, Russia GRADUATE

This book, a natural continuation of Prasolov's Elements of Basic Quadratic


Basic Quadratic Forms
Combinatorial and Differential Topology, defines simpli-
Forms
cial homology and cohomology and offers many examples
of their applications. The book also addresses singular Larry J. Gerstein,
homology and cohomology and offers applications of University of Larry J. Gerstein
homology theory to the topology of manifolds. Numerous California, Santa
exercises will capture the attention of readers with a Barbara, CA
variety of levels of expertise.
Basic Quadratic Graduate Studies

Graduate Studies in Mathematics, Volume 81 in Mathematics

Forms is a great Volume 90

2007; 418 pp.; hardcover; ISBN: 978-0-8218-3812-9; List US$69;


introduction to the
AMS members US$55; Order code: GSM/81
American Mathematical Society

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

Leon A. Takhtajan ...heaven-sent to the aforementioned analytic number


theorist, i.e., me, because it is mathematics, not
physics: the exposition is peppered with definitions
and theorems, and proofs!, proofs!, proofs!...
Graduate Studies
in Mathematics

Volume 95
—Michael Berg for MAA Reviews
Graduate Studies in Mathematics, Volume 95
American Mathematical Society

2008; 387 pp.; hardcover; ISBN: 978-0-8218-4630-8; List US$69;


AMS members US$55; Order code: GSM/95

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


TEXTBOOKS
TEXTBOOKS FROM THE AMS
TEXTBOOK

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
AT
H E MA T
IC

AL
ΤΡΗΤΟΣ ΜΗ

N
derivatives pricing theory.... It also offers plenty of

ER I C A

ΕΙΣΙΤΩ
ΑΓΕΩΜΕ

SO CIETY
American Mathematical Society

AM
the study of probability theory
FO 8
U N D ED 188

exercises that will help you build mastery. —Zentralblatt MATH


—Glyn Holton, founder Contingency Analysis 1997; 510 pp.; hardcover; ISBN: 978-0-8218-0749-1; List US$57;
and Riskbook.com AMS members US$46; Order code: IPROB
Graduate Studies in Mathematics, Volume 70
2005; 294 pp.; hardcover; ISBN: 978-0-8218-3951-5; List US$58;
AMS members US$46; Order code: GSM/70

GRADUATE

UNDERGRAD / GRAD u Instructor’s Manual Available Probability Theory


u Student Manual Available S. R. S. Varadhan, New York University - Courant
Probability: Institute of Mathematical Sciences, NY
The Science of
Uncertainty S. R. S. Varadhan is recognized as a top expert in prob-
ability theory. This volume presents topics in probability
with Applications theory covered during a first-year graduate course given
to Investments, by Varadhan at the Courant Institute of Mathematical
Insurance, and Sciences. The book is a suitable text for a first-year grad-
Engineering uate course in probability.
Michael A. Bean Titles in this series are co-published with the Courant Institute
of Mathematical Sciences at New York University.
Written by a Fellow
Courant Lecture Notes, Volume 7
of the Casualty
Actuarial Society 2001; 167 pp.; softcover; ISBN: 978-0-8218-2852-6; List US$25;
AMS members US$20; Order code: CLN/7
and the Society of
Actuaries with many
years of experience
as a university professor and industry practitioner,
the book is suitable as a text for senior undergraduate
UNDERGRAD / GRAD
and beginning graduate students in mathematics,
statistics, actuarial science, finance, or engineering. Markov Chains and Mixing Times
An instructor’s manual for this title is available electronically.
Please send email to textbooks@ams.org for more information. David A. Levin, University of Oregon, Eugene, OR, Yuval
A student manual with solutions to selected problems is available elec- Peres, Microsoft Research, Redmond, WA, and University
tronically at www.ams.org/bookstore/pspdf/amstext-6-solutions.pdf. of California, Berkeley, CA, and Elizabeth L. Wilmer,
Pure and Applied Undergraduate Texts, Volume 6 Oberlin College, OH
2001; 448 pp.; hardcover; ISBN: 978-0-8218-4792-3; This book is an introduction to the modern approach
List US$72; AMS members US$58; Order code: AMSTEXT/6
to the theory of Markov chains. The main goal of this
approach is to determine the rate of convergence of a
Markov chain to the stationary distribution as a function
GRADUATE of the size and geometry of the state space. The book
includes many examples and provides brief introductions
Probability to some central models of statistical mechanics.
Davar Khoshnevisan, University of Utah, 2009; 371 pp.; hardcover; ISBN: 978-0-8218-4739-8; List US$65;
Salt Lake City, UT AMS members US$52; Order code: MBK/58

...overall the text is neatly written and presents not only


good mathematics but also a heuristic view of modern
probability, including numerous exercises and historical
notes.
—European Mathematical Society Newsletter
Graduate Studies in Mathematics, Volume 80
2007; 224 pp.; hardcover; ISBN: 978-0-8218-4215-7; List US$45;
AMS members US$36; Order code: GSM/80

For more information on these titles visit www.ams.org/bookstore/textbooks 13


TEXTBOOK

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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