Mathematics 2017

2017 CATALOGUE

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MATHEMATICS

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1 HIGHLIGHT
HIGHLIGHT

GAME THEORY GAME THEORY, ALIVE

A Playful Introduction Anna R. Karlin & Yuval Peres
Matt DeVos & Deborah A. Kent
Apr 2017 396pp
Feb 2017 360pp
9781470419820 Hardback £76.50 / €87.00
9781470422103 Paperback £49.95 / €57.00
Student Mathematical Library, Vol. 80 Presents a rigorous introduction to the
mathematics of game theory without losing sight
Offers a gentle introduction to the mathematics of the joy of the subject. This is done by focusing
of both sides of game theory: combinatorial and on theoretical highlights and by presenting
classical. The combination allows for a dynamic exciting connections of game theory to other
and rich tour of the subject united by a common fields such as computer science, economics, social
theme of strategic reasoning. choice, biology, and learning theory. Both classical
topics and modern topics are covered.
With ample material and limited dependencies
between the chapters, the book is adaptable to a American Mathematical Society
variety of situations and a range of audiences.
American Mathematical Society

2

American Mathematical Society CARTAN FOR BEGINNERS

ALGEBRAIC INEQUALITIES: Differential Geometry via Moving
NEW VISTAS Frames and Exterior Differential
Systems, Second Edition
Titu Andreescu & Mark Saul Thomas A. Ivey & Joseph M. Landsberg
Dec 2016 126pp
9781470434649 Paperback £41.95 / €48.00 Dec 2016 455pp
MSRI Mathematical Circles Library, Vol. 19
9781470409869 Hardback £90.50 / €105.00
This book starts with simple arithmetic inequalities and Graduate Studies in Mathematics, Vol. 175
builds to sophisticated inequality results such as the
Cauchy-Schwarz and Chebyshev inequalities. Nothing Two central aspects of Cartan’s approach to differential
beyond high school algebra is required of the student. geometry are the theory of exterior differential systems
The exposition is lean. Most of the learning occurs as the (EDS) and the method of moving frames. This book
student engages in the problems posed in each chapter. presents thorough and modern treatments of both
And the learning is not “linear”. subjects, including their applications to both classic and
contemporary problems in geometry.
ALGEBRA IN ACTION
CATEGORIFICATION AND HIGHER
A Course in Groups, Rings, and Fields REPRESENTATION THEORY
Shahriar Shahriari
Development of Moduli Theory - Kyoto 2013
Apr 2017 655pp Edited by Osamu Fujino et al
9781470428495 Hardback £120.00 / €135.00
Pure and Applied Undergraduate Texts, Vol. 27 Oct 2016 537pp

Provides a readable, student-friendly, and somewhat 9784864970327 Hardback £175.00 / €200.00
sophisticated introduction to abstract algebra. It is Advanced Studies in Pure Mathematics, Vol. 69
aimed at sophomore or junior undergraduates who
are seeing the material for the first time. In addition Contains the proceedings of the 6th Mathematical
to the usual definitions and theorems, there is ample Society of Japan Seasonal Institute Development of
discussion to help students build intuition and learn Moduli Theory, which was held as the Seasonal Institute
how to think about the abstract concepts. 2013, with support from the Mathematical Society of
Japan and the 2013 Research Project of the Research
BEURLING GENERALIZED NUMBERS Institute of Mathematical Science, Kyoto University. This
volume consists of five survey articles and eight research
Harold G. Diamond & Wen-Bin Zhang articles.
Oct 2016 244pp Mathematical Society of Japan
9781470430450 Hardback £115.00 / €130.00
Mathematical Surveys and Monographs, Vol. 213 DIFFERENTIAL GALOIS THEORY
THROUGH RIEMANN-HILBERT
Using both analytic and elementary methods, this CORRESPONDENCE
book presents many old and new theorems, including
several of the authors’ results, and many examples of An Elementary Introduction
extremal behaviour of g-number systems. The authors Jacques Sauloy
also give detailed accounts of the $L^2$ PNT theorem
of J.P. Kahane and of the example created with H.L. Feb 2017 279pp
Montgomery, showing that additive structure is needed
for proving the Riemann hypothesis. 9781470430955 Hardback £90.50 / €105.00
Graduate Studies in Mathematics, Vol. 177

Offers a hands-on transcendental approach to
differential Galois theory, based on the Riemann-Hilbert
correspondence. Along the way, it provides a smooth,
down-to-earth introduction to algebraic geometry,
category theory and tannakian duality. A large variety of
examples, exercises, and theoretical constructions offers
an accessible entry into this exciting area.

3

GAME THEORY, ALIVE MINIMAL MODELS AND EXTREMAL
RAYS
Anna R. Karlin & Yuval Peres
Apr 2017 396pp Edited by Janos Kollar et al
9781470419820 Hardback £76.50 / €87.00
Feb 2017 420pp
For full details of this title, see page 1.
9784864970365 Hardback £155.00 / €180.00
GAME THEORY Advanced Studies in Pure Mathematics, Vol. 70

A Playful Introduction The conference on Minimal Models and Extremal Ray
Matt DeVos & Deborah A. Kent was held at the Research Institute for Mathematical
Sciences (RIMS) at Kyoto University in 2011. This
Feb 2017 360pp volume contains the proceedings of this conference
9781470422103 Paperback £49.95 / €57.00 and consists of one survey article on the mathematical
Student Mathematical Library, Vol. 80 work of Shigefumi Mori, who turned sixty in 2011, and
thirteen research papers presented by the authors.
For full details of this title, see page 1. Mathematical Society of Japan

LARGE DEVIATIONS ON GROUPS OF
PL-HOMEOMORPHISMS OF
S.R.S. Varadhan THE REAL LINE
Dec 2016 104pp
9780821840863 Paperback £36.95 / €42.00 Robert Bieri & Ralph Strebel
Courant Lecture Notes, Vol. 27
Dec 2016 174pp
The theory of large deviations deals with rates at
which probabilities of certain events decay as a natural 9781470429010 Hardback £115.00 / €130.00
parameter in the problem varies. This book focuses on Mathematical Surveys and Monographs, Vol. 215
three concrete sets of examples: diffusions with small
noise and the exit problem; large time behaviour of Richard Thompson’s famous group F has the
Markov processes and their connection to the Feynman- striking property that it can be realized as a dense
Kac formula; and interacting particle systems, their subgroup of the group of all orientation-preserving
scaling limits, and large deviations from their expected homeomorphisms of the unit interval, but it can also be
limits. given by a simple 2-generator-2-relator presentation.
This monograph studies a natural generalization of $F$
LECTURES ON CHEVALLEY GROUPS that also includes Melanie Stein’s generalized F-groups.

Robert Steinberg ORDERED GROUPS AND TOPOLOGY
Feb 2017 157pp
9781470431051 Paperback £35.95 / €41.00 Adam Clay & Dale Rolfsen
University Lecture Series, Vol. 66
Dec 2016 154pp
Robert Steinberg’s Lectures on Chevalley Groups were
delivered and written during the author’s sabbatical 9781470431068 Hardback £80.50 / €92.00
visit to Yale University in the 1967-1968 academic year. Graduate Studies in Mathematics, Vol. 176
The work presents the status of the theory of Chevalley
groups as it was in the mid-1960s. This material was Deals with the connections between topology and
instrumental in many areas of mathematics. ordered groups. This volume begins with a self-
contained introduction to orderable groups and from
there explores the interactions between orderability
and objects in low-dimensional topology. The book
also addresses recent applications of orderability in the
studies of codimension-one foliations and Heegaard-
Floer homology.

4

QUIVER REPRESENTATIONS AND TENSOR CATEGORIES
QUIVER VARIETIES
Pavel Etingof et al
Alexander Kirillov Oct 2016 344pp
9781470434410 Paperback £66.50 / €76.00
Oct 2016 295pp Mathematical Surveys and Monographs, Vol. 205

9781470423070 Hardback £90.50 / €105.00 Is there a vector space whose dimension is the golden
Graduates Studies in Mathematics, Vol. 174 ratio? Of course not - the golden ratio is not an integer!
But this can happen for generalizations of vector spaces
Provides an introduction to the theory of quiver - objects of a tensor category. The theory of tensor
representations and quiver varieties, starting with basic categories is a relatively new field of mathematics that
definitions and ending with Nakajima’s work on quiver generalizes the theory of group representations. This
varieties and the geometric realization of Kac-Moody book gives a systematic introduction to this theory and
Lie algebras. The exposition in the book requires only a review of its applications.
a basic knowledge of algebraic geometry, differential
geometry, and the theory of Lie groups and Lie algebras. THE TOOLS OF
MATHEMATICAL
SCHOOL ON REAL AND COMPLEX REASONING
SINGULARITIES IN SAO CARLOS, 2012
Tamara J. Lakins
Edited by Raimundo Nonato Araujo dos Santos et al Oct 2016 217pp
9781470428990 Hardback
Oct 2016 373pp £70.50 / €81.00
Pure and Applied Undergraduate
9784864970303 Hardback £130.00 / €150.00 Texts, Vol. 26
Advanced Studies in Pure Mathematics, Vol. 68
Offers beginning undergraduate
Topics treated in this volume cover a wide range, mathematics students a first exposure to introductory
including topology and geometry of real singularities, logic, proofs, sets, functions, number theory, relations,
singularities of holomorphic map-germs, singularities finite and infinite sets, and the foundations of analysis. The
of complex algebraic sets, algorithms of the computer book provides students with a quick path to writing proofs
algebra “SINGULAR”, singularities of maps and and a practical collection of tools that they can use in later
characteristic classes, and limit cycles of systems of mathematics courses such as abstract algebra and analysis.
ordinary differential equations.
Mathematical Society of Japan Hindustan Book Agency

SHOCK FORMATION IN SMALL-DATA THEORY OF SEMIGROUPS AND
SOLUTIONS TO 3D QUASILINEAR APPLICATIONS
WAVE EQUATIONS
Kalyan B. Sinha & Sachi Srivastava
Jared Speck Apr 2017 180pp
9789386279637 Hardback £38.50 / €44.00
Feb 2017 518pp Texts and Readings in Mathematics, Vol. 74

9781470428570 Hardback £115.00 / €130.00 Combines the spirit of a textbook with that of a
Mathematical Surveys and Monographs, Vol. 214 monograph on the topic of Semigroups and their
applications. It has potential uses across a broad
Serge Alinhac’s groundbreaking work on wave spectrum including operator theory, partial differential
equations in the late 1990s was the first to treat equations, harmonic analysis, probability and statistics
more than one spatial dimension. In 2007, for the and classical and quantum mechanics.
compressible Euler equations in vorticity-free regions,
Demetrios Christodoulou remarkably sharpened
Alinhac’s results. In this monograph, Christodoulou’s
framework is extended to two classes of wave equations
in three spatial dimensions.

5

IGI Global FINITE GROUPS

FUZZY SYSTEMS An Introduction
Jean-Pierre Serre
Concepts, Methodologies, Tools, and
Applications Dec 2016 190pp
Edited by Information Resources Management 9781571463272 Hardback £89.50 / €105.00
Association
Finite group theory is a topic remarkable for the
Apr 2017 1500pp, three volumes simplicity of its statements and the difficulty of its
9781522519089 Hardback £1605.00 / €1860.00 proofs. It is used in an essential way in several branches
of mathematics - for instance, in number theory. This
A comprehensive reference source on the latest scholarly book offers a short introduction to the subject, written
research and developments in fuzzy rule-based methods both for beginners and for mathematicians at large.
and examines both theoretical foundations and real-
world utilization of these logic sets. This publication ISEAS Publishing
features a range of extensive coverage across innovative
topics, such as fuzzy logic, rule-based systems, and fuzzy THE CONTINUATION OF ANCIENT
analysis. MATHEMATICS

THEORETICAL AND PRACTICAL Wang Xiaotong’s “Jigu suanjing”, Algebra
ADVANCEMENTS FOR FUZZY and Geometry in 7th-Century China
SYSTEM INTEGRATION Tina Su-lyn Lim & Donald B. Wagner

Edited by Deng-Feng Li Jun 2017 200pp, 43 b&w illustrations, mainly line drawings
Mar 2017 270pp 9788776942175 Paperback £26.95 / €31.00
9781522518488 Hardback £200.00 / €225.00
Advances in Computational Intelligence and Robotics Shows us a stage in the development from the 1st to
the 14th century CE of the Chinese traditional algebra
Presents the latest scholarly research on the importance of polynomials. Lim and Wagner’s in-depth study brings
of expressing and measuring fuzziness in order to this work to an audience unfamiliar with the history and
develop effective and practical decision making models particulars of Chinese mathematical knowledge. Their
and methods. Featuring coverage on an expansive range worked examples also illuminate the text and invite
of perspectives and topics, such as fuzzy logic control, comparison with the work of medieval mathematicians
intuitionistic fuzzy set theory, and defuzzification, this in the Middle East and Europe.
book is designed for academics, professionals, and Nordic Institute of Asian Studies
researchers.
Morgan & Claypool Publishers
International Press of Boston, Inc
THE FUNDAMENTALS OF ANALYSIS
CURRENT DEVELOPMENTS IN FOR TALENTED FRESHMEN
MATHEMATICS, 2015
Peter M. Luthy, Guido L. Weiss & Steven S. Xiao
Edited by David Jerison et al Aug 2016 98pp
Feb 2017 192pp 9781627054577 Paperback £40.50 / €46.00
9781571463319 Paperback £79.50 / €91.00 Synthesis Lectures on Mathematics and Statistics

This volume consists of papers based on selected This book assumes students know some of the basic
lectures given at the Current Development Mathematics facts about Calculus. It is rigorous and exposes them
Conference, held in November 2015 at Harvard to the proofs and the ideas which produce them. It
University. presents a way of thinking about mathematics that will
make it much easier to learn more of this subject and
be a good preparation for more of the undergraduate
curriculum.

6

INTRODUCTION TO LOGIC PRISTINE LANDSCAPES IN
ELEMENTARY MATHEMATICS
Third Edition
Michael Genesereth & Eric J. Kao Titu Andreescu
Feb 2017 280pp
Nov 2016 177pp 9780996874571 Hardback £60.50 / €69.00
9781627056366 Paperback £60.50 / €69.00
Synthesis Lectures on Computer Science Takes familiar ideas and extends them to a rich
variety of problems. The topics covered span algebra,
Provides a gentle but rigorous introduction to Formal geometry, number theory, and even a few elements
Logic. Like many other books on logic, this one covers of mathematical analysis. The “landscapes” presented
logical syntax and semantics and proof theory plus provide a “view” into areas that are not typically
induction. However, unlike other books, it begins with encountered in great depth in standard coursework but
Herbrand semantics rather than the more traditional nonetheless have profound implications.
Tarskian semantics. This approach makes the material
considerably easier for students to understand. BESTSELLERS

PHI Learning

MATRIX AND LINEAR ALGEBRA American Mathematical Society

Aided with MATLAB, Third Edition ADVANCED CALCULUS
Kanti Bhushan Datta
Second Edition
Nov 2016 720pp Patrick M. Fitzpatrick
9788120352865 Paperback £23.95 / €29.00
2009 590pp, illustrations
With the inclusion of applications of singular value 9780821847916 Hardback £88.50 / €105.00
decomposition (SVD) and principal component analysis Pure and Applied Undergraduate Texts, Vol. 5
(PCA) to image compression and data analysis, this
textbook provides a strong foundation of linear algebra Suitable as a text for courses that furnish the
needed for a higher study in signal processing. It covers backbone of the student’s undergraduate education
the use of MATLAB in the study of linear algebra for a in mathematical analysis, this book presents the
variety of computational purposes and programmes. fundamental concepts within the context of examples
and exercises.
XYZ Press
ADVANCED MODERN ALGEBRA
112 COMBINATORIAL PROBLEMS
FROM THE AWESOMEMATH Third Edition, Part I
SUMMER PROGRAM Joseph J. Rotman

Vlad Matei 2015 709pp
Feb 2017 196pp 9781470415549 Hardback £90.50 / €105.00
9780996874526 Hardback £60.50 / €69.00 Graduate Studies in Mathematics, Vol. 165

Gives students a chance to begin exploring some Consists of two courses: Galois theory and Module
introductory to intermediate topics in combinatorics, theory. Topics in the second course are Zorn’s lemma,
a fascinating and accessible branch of mathematics canonical forms, inner product spaces, categories and
centred around (among other things) counting various limits, tensor products, projective, injective, and flat
objects and sets. This book includes chapters featuring modules, multilinear algebra, affine varieties, and
tools for solving counting problems, proof techniques, Grobner bases.
and more to give students a broad foundation to
build on.

7

ALGEBRAIC SPACES AND STACKS COMBINATORICS
AND RANDOM
Martin Olsson MATRIX THEORY
2016 299pp
9781470427986 Hardback £105.00 / €115.00 Jinho Baik, Percy Deift &
Colloquium Publications, Vol. 62 Toufic Suidan
2016 461pp
Provides an introduction to the theory of algebraic 9780821848418 Hardback
spaces and stacks intended for graduate students and £90.50 / €105.00
researchers familiar with algebraic geometry at the level Graduate Studies in
of a first-year graduate course. Mathematics, Vol. 172

ANALYSIS Analyses in detail Ulam’s problem for increasing
subsequences of random permutations, and domino
Elliott H. Lieb & Michael Loss tilings of the Aztec diamond. Other examples are also
2001 348pp described along the way, but in less detail.
9780821827833 Hardback £48.95 / €56.00
Graduate Studies in Mathematics, Vol. 14 A COMPREHENSIVE COURSE
IN ANALYSIS
Presents the concepts and tools to solve problems of
analysis, and shows how to apply these concepts to Barry Simon
research in a variety of areas. This work covers the min- Part 1: Real Analysis
max principle, semi-classical approximation, coherent 2015 789pp
states and Lieb-Thirring inequalities. 9781470410995 Hardback £85.00 / €105.00
Part 2A: Basic Complex Analysis
CLASSICAL MECHANICS WITH 2015 641pp
CALCULUS OF VARIATIONS AND 9781470411008 Hardback £85.00 / €105.00
OPTIMAL CONTROL Part 2B: Advanced Complex Analysis
2015 321pp
An Intuitive Introduction 9781470411015 Hardback £85.00 / €105.00
Mark Levi Part 3: Harmonic Analysis
2015 759pp
2014 316pp 9781470411022 Hardback £85.00 / €105.00
9780821891384 Paperback £42.95 / €49.00 Part 4: Operator Theory
Student Mathematical Library, Vol. 69 2015 749pp
9781470411039 Hardback £85.00 / €105.00
This is an intuitively motivated presentation of many 5 Volume Set
topics in classical mechanics and related areas of control 2015 3259pp
theory and calculus of variations. 9781470410988 Hardback £315.00 / €390.00

COLORED OPERADS Written by Poincaré Prize winner Barry Simon, these
five-volumes serve as graduate-level analysis textbooks
Donald Yau with a lot of additional bonus information, including
2016 428pp hundreds of problems and numerous notes that extend
9781470427238 Hardback £90.50 / €105.00 the text and provide important historical background.
Graduate Studies in Mathematics, Vol. 170

Explores the theory of operads and coloured operads,
sometimes called symmetric multicategories. Topics
covered include basic graph theory, basic category
theory, coloured operads, and algebras over coloured
operads.

8

COMPUTATIONAL TOPOLOGY EXPERIMENTAL MATHEMATICS

An Introduction V.I. Arnold
Herbert Edelsbrunner & John L. Harer 2015 158pp
9780821894163 Paperback £29.50 / €34.00
2010 241pp MSRI Mathematical Circles Library, Vol. 16
9780821849255 Hardback £63.50 / €72.00
Presents several new directions of mathematical
Combining concepts from topology and algorithms, this research. All of these directions are based on numerical
book delivers what its title promises: an introduction experiments conducted by the author, which led to new
to the field of computational topology. It covers hypotheses that currently remain open. The hypotheses
motivating problems in both mathematics and range from geometry and topology to combinatorics to
computer science. algebra and number theory.

DIFFERENTIABLE DYNAMICAL A FIRST COURSE IN THE
SYSTEMS CALCULUS OF VARIATIONS

An Introduction to Structural Stability and Mark Kot
Hyperbolicity 2014 298pp
Lan Wen 9781470414955 Paperback £50.95 / €58.00
Student Mathematical Library, Vol. 72
2016 199pp
9781470427993 Hardback £80.50 / €92.00 This book is intended for a first course in the calculus
Graduate Studies in Mathematics, Vol. 173 of variations, at the senior or beginning graduate level.
The text lays out important necessary and sufficient
Starting with the basic concepts of dynamical systems, conditions for extrema in historical order, and it
analysing the historic systems of the Smale horseshoe, illustrates these conditions with numerous worked-out
Anosov toral automorphisms, and the solenoid examples.
attractor, this book develops the hyperbolic theory
first for hyperbolic fixed points and then for general FOKKER-PLANCK-KOLMOGOROV
hyperbolic sets. EQUATIONS

DIFFERENTIAL GEOMETRY Vladimir I. Bogachev et al
2015 489pp
Curves - Surfaces - Manifolds, 9781470425586 Hardback £115.00 / €130.00
Third Edition Mathematical Surveys and Monographs, Vol. 207
Wolfgang Kuhnel
Gives an exposition of the principal concepts and results
2015 412pp related to second order elliptic and parabolic equations
9781470423209 Paperback £49.95 / €57.00 for measures, the main examples of which are Fokker-
Student Mathematical Library, Vol. 77 Planck-Kolmogorov equations for stationary and
transition probabilities of diffusion processes.
Offers an introduction to the beautiful ideas and
results of differential geometry. The first half covers the
geometry of curves and surfaces, which provide much of
the motivation and intuition for the general theory. The
second part studies the geometry of general manifolds.

9

FOURIER ANALYSIS AND GEOMETRY IN PROBLEMS
ITS APPLICATI ONS
Alexander Shen
Gerald B. Folland 2016 232pp
2009 433pp 9781470419219 Paperback £25.50 / €29.00
MSRI Mathematical Circles Library, Vol. 18
9780821847909 Hardback £77.50 / €89.00
Pure and Applied Undergraduate Texts, Vol. 4 Classical Euclidean geometry, with all its triangles,
circles, and inscribed angles, remains an excellent
Presents the theory and applications of Fourier series playground for high-school mathematics students.
and integrals, eigenfunction expansions, and related This book contains more than 750 (mostly) easy but
topics, on a level suitable for advanced undergraduates. non-trivial problems in all areas of plane geometry and
This title includes material on Bessel functions, solutions for most of them.
orthogonal polynomials, and Laplace transforms.
HOW TO TEACH MATHEMATICS
GALOIS THEORIES OF LINEAR
DIFFERENCE EQUATIONS Third Edition
Steven G. Krantz
An Introduction
Charlotte Hardouin, Jacques Sauloy & Michael F. Singer 2015 146pp
9781470425524 Paperback £35.95 / €41.00
2016 171pp
A lively and provocative tract on how to teach
9781470426552 Hardback £115.00 / €130.00 mathematics in today’s new world of online learning
Mathematical Surveys and Monographs, Vol. 211 tools and innovative teaching devices. The author
guides the reader through the joys and pitfalls of
Presents three introductory tutorials coming out of interacting with modern undergraduates - telling you
three courses given at the CIMPA Research School explicitly what to do and what not to do.
“Galois Theory of Difference Equations” in 2012. The
aim of these tutorials is to introduce the reader to three AN INTRODUCTION TO
Galois theories of linear difference equations and their DYNAMICAL SYSTEMS
interrelations.
Continuous and Discrete, Second Edition
GEOMETRY AND THE IMAGINATION R. Clark Robinson

D. Hilbert & S. Cohn-Vossen 2016 733pp
1952 357pp, Illustrations 9780821891353 Hardback £94.50 / €110.00
Pure and Applied Undergraduate Texts, Vol. 19
9780821819982 Hardback £46.95 / €54.00
AMS Chelsea Publishing, Vol. 87 Provides a mathematical treatment of the introduction
to qualitative differential equations and discrete
Suitable for beginners and experienced mathematicians, dynamical systems. The treatment includes theoretical
this book begins with examples of the simplest curves proofs, methods of calculation, and applications.
and surfaces, including thread constructions of certain
quadrics and other surfaces. It offers a discussion of
linkages and the geometry of configurations of points
and rods that are connected and, perhaps, constrained
in some way.

10

AN THE KNOT BOOK
INTRODUCTION
TO MEASURE An Elementary Introduction to the
THEORY Mathematical Theory of Knots
Colin Adams
Terence Tao
2011 206pp 2004 277pp
9780821869192 Hardback 9780821836781 Paperback £34.95 / €40.00
£56.95 / €65.00
Graduate Studies in Knots are familiar objects. Yet the mathematical theory
Mathematics, Vol. 126 of knots quickly leads to deep results in topology and
geometry. This work offers an introduction to this
Introduces the fundamentals of measure theory theory. It presents the applications of knot theory to
and integration theory. It focuses first on the modern chemistry, biology and physics.
concrete setting of Lebesgue measure and the
Lebesgue integral, before moving on to abstract KNOTS, MOLECULES, AND
measure and integration theory, including the THE UNIVERSE
standard convergence theorems, Fubini’s theorem,
and the Caratheodory extension theorem. An Introduction to Topology
Erica Flapan
TOPICS IN RANDOM
MATRIX THEORY 2015 386pp
9781470425357 Hardback £70.50 / €81.00
Terence Tao
2012 291pp Provides an elementary introduction to geometric
9780821874301 Hardback £65.50 / €75.00 topology and its applications to chemistry, molecular
Graduate Studies in Mathematics, Vol. 132 biology, and cosmology. It is meant to be fun and
engaging while drawing students in to learn about
The field of random matrix theory has seen fundamental topological and geometric ideas.
an explosion of activity in recent years, with
connections to many areas of mathematics and LECTURES AND PROBLEMS
physics. This graduate text focuses on one specific
sector of the field, namely the spectral distribution A Gift to Young Mathematicians
of random Wigner matrix ensembles, as well as iid V.I. Arnold
matrix ensembles.
2015 176pp
INTRODUCTION TO 9781470422592 Paperback £29.50 / €34.00
TROPICAL GEOMETRY MSRI Mathematical Circles Library, Vol. 17

Diane Maclagan & Bernd Sturmfels Vladimir Arnold (1937-2010) was one of the great
2015 364pp mathematical minds of the late 20th century. He did
9780821851982 Hardback £80.50 / €92.00 significant work in many areas of the field. This book
Graduate Studies in Mathematics, Vol. 161 contains some examples of Arnold’s contributions to
the genre.
Tropical geometry is a young subject that has
undergone a rapid development since the beginning
of the 21st century. This book offers a self-contained
introduction to tropical geometry, suitable as a course
text for beginning graduate students.

11

LECTURES ON THE RIEMANN ZETA MATRIX GROUPS FOR
FUNCTION UNDERGRADUATES

H. Iwaniec Second Edition
2014 119pp Kristopher Tapp

9781470418519 Paperback £40.95 / €47.00 2016 239pp
University Lecture Series, Vol. 62 9781470427221 Paperback £49.95 / €57.00
Student Mathematical Library, Vol. 79
Covers classical material about the zeros of the Riemann
zeta function with applications to the distribution of Matrix groups touch an enormous spectrum of the
prime numbers, including those made by Riemann, mathematical arena. This textbook brings them into the
F. Carlson, and Hardy-Littlewood, and gives a complete undergraduate curriculum. It is concrete and example-
presentation of Levinson’s method for zeros on the driven, with geometric motivation and rigorous proofs.
critical line.
NONLINEAR ELLIPTIC EQUATIONS
LIE ALGEBRAS, LIE SUPERALGEBRAS, OF THE SECOND ORDER
VERTEX ALGEBRAS AND RELATED
TOPICS Qing Han
2016 368pp
Edited by Kailash C. Misra, Daniel K. Nakano & 9781470426071 Hardback £90.50 / €105.00
Brian J. Parshall Graduate Studies in Mathematics, Vol. 171
2016 355pp
Provides a detailed discussion of the Dirichlet problems
9781470418441 Hardback £125.00 / €140.00 for quasilinear and fully nonlinear elliptic differential
Proceedings of Symposia in Pure Mathematics, Vol. 92 equations of the second order with an emphasis on
mean curvature equations and on Monge-Ampere
Contains the proceedings of the 2012-2014 equations.
Southeastern Lie Theory Workshop Series held between
2012 and 2014. Some of the articles survey recent NUMERICAL ANALYSIS
developments while others include new results in
representations of Lie algebras, and quantum groups, Mathematics of Scientific
vertex (operator) algebras and Lie superalgebras. Computing, Third Edition
David Kincaid & Ward Cheney
MATHEMATICS++
2009 788pp
Selected Topics Beyond the 9780821847886 Hardback £95.50 / €110.00
Basic Courses Pure and Applied Undergraduate Texts, Vol. 2
Ida Kantor, Jiri Matousek & Robert Samal
Introduces students with diverse backgrounds to various
2015 353pp types of mathematical analysis that are commonly
needed in scientific computing. This title treats the
9781470422615 Paperback £49.95 / €57.00 subject of numerical analysis from a mathematical point
Student Mathematical Library, Vol. 75 of view, offering an analysis of methods for scientific
computing with appropriate motivations and proofs.
Offers a concise introduction to six areas of 20th
century mathematics - measure theory, high-
dimensional geometry, Fourier analysis, representations
of groups, multivariate polynomials, and topology
- providing numerous modern mathematical tools
used in contemporary research in computer science,
engineering, and other fields.

12

KEY BESTSELLER PARTIAL DIFFERENTIAL
EQUATIONS
PARTIAL
DIFFERENTIAL An Accessible Route Through Theory
EQUATIONS and Applications
Andras Vasy
Second Edition
Lawrence C. Evans 2015 280pp
9781470418816 Hardback £70.50 / €81.00
2010 749pp Graduate Studies in Mathematics, Vol. 169

9780821849743 Hardback This text on partial differential equations is intended
£94.50 / €110.00 for readers who want to understand the theoretical
Graduate Studies in underpinnings of modern PDEs in settings that are
Mathematics, Vol. 19.R important for the applications without using extensive
analytic tools required by most advanced texts.
This is the definitive text on partial differential
equations (PDE). It offers a comprehensive survey PERSISTENCE THEORY
of modern techniques in the theoretical study
of PDE with particular emphasis on nonlinear From Quiver Representations to Data Analysis
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PROBLEMS IN REAL AND WHAT’S HAPPENING IN THE
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The purpose of this book is to complement the existing
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YOU CAN COUNT ON MONSTERS Hindustan Book Agency

The First 100 Numbers and Their ALGEBRAIC GEOMETRY II
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ANALYSIS I University of Michigan Press

Third Edition THE CULT OF STATISTICAL
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