A Course on Topological Groups, by K. Chandrasekharan (Hindustan Book Agency, 2011)

Reviewed by Michael Berg

An Introduction to Measure Theory, by Terence Tao (American Mathematical Society, 2011)

Reviewed by Mihaela Poplicher

Mathematical Methods in Immunology, by Jerome K. Percus (American Mathematical Society/Curant Institute of Mathematical Sciences, 2012)

Reviewed by William J. Satzer

A Sequence of Problems on Semigroups, by J. W. Neuberger (Springer, 2011)

Reviewed by Mihaela Poplicher

Functional Analysis: Theory and Applications, by R. E. Edwards (Dover Publications, 1995)

Reviewed by Michael Berg

The Shape of Algebra in the Mirrors of Mathematics, by Gabriel Katz and Vladimir Nodelman (World Scientific, 2012)

Reviewed by Art Gittleman

Stem the Tide: Reforming Science, Technology, Engineering, and Math Education in America, by David E. Drew (Johns Hopkins, 2011)

Reviewed by Robert W. Hayden

Statistical Adjustment of Data, by W. Edwards Deming (Dover Publications, 1964)

Reviewed by Robert W. Hayden

The Chess Mysteries of Sherlock Holmes: Fifty Tantalizing Problems of Chess Detection, by Raymond M. Smullyan (Dover Publications, 2012)

Reviewed by Michael Berg

A History of Vector Analysis:The Evolution of the Idea of a Vectorial System, by Michael J. Crowe (Dover Publications, 1994)

Reviewed by P. N. Ruane

How to Solve Applied Mathematics Problems, by B. L. Moiseiwitsch (Dover Publications, 2011)

Reviewed by Tom Schulte

In Service to Mathematics: The Life and Work of Mina Rees, by Amy Shell-Gellasch (Docent Press, 2011)

Reviewed by Allen Stenger

An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain, by Frank C. Hoppensteadt (Cambridge University Press. 1997)

Reviewed by William J. Satzer

Knots Unravelled: From String to Mathematics, by Meike Akveld and Andrew Jobbings (Arbelos, 2011)

Reviewed by Scott Taylor

Probability with Statistical Applications, 2^nd ed,, by Rinaldo B. Schinazi (Birkhauser, 2012)

Reviewed by Mehdi Hassani

Robert Recorde: Tudor Polymath, Expositor and Practitioner of Computation, by Jack Williams (Springer, 2011)

Reviewed by John Denniss

Applied Matrix Algebra, by Lawrence Harvill (Xlibris, 2011)

Reviewed by Peter Olszewski

The Cartoon Guide to Calculus, by Larry Gonick (William Morrow, 2012)

Reviewed by Mark Bollman

Convexity: An Analytic Viewpoint, by Barry Simon (Cambridge University Press, 2011)

Reviewed by Mihaela Poplicher

A Course on Integration Theory, by K. Chandrasekharan (Hindustan Book Agency, 2011)

Reviewed by Allen Stenger

Galois Theory, 2^nd ed., by David A. Cox (John Wiley, 2012)

Reviewed by Fernando Q. Gouvea

Handbook of Healthcare System Scheduling, by Randolph Hall, editor (Springer, 2012)

Reviewed by Charles Ashbacher

Homotopy Theory of Higher Categories, by Carlos Simpson (Cambridge University Press, 2011)

Reviewed by Felipe Zaldivar

The Lost Millennium: History’s Timetables under Siege, 2^nd ed., by Florin Diacu (Johns Hopkins, 2011)

Reviewed by Alex Bogomolny

Spatiotemporal Data Analysis, by Gidon Eshel (Princeton University Press, 2012)

Reviewed by William J. Satzer

The Mathematical Experience: Study Edition, by Philip J. Davis, Reuben Hersh, and Elena Anne Marchisotto (Birkhauser, 2012)

Reviewed by Richard J. Wilders

The Founders of Index Theory, 2^nd edition, ed. by S.-T. Yau (International Press, 2009)

Reviewed by Michael Berg

Parameter Estimation and Inverse Problems, 2^nd edition, by Richard C. Aster, Brian Borchers, and Clifford H. Thurber (Academic Press, 2012)

Reviewed by Fernando Q. Gouvea

Geometric Modular Forms and Elliptic Curves, by Haruzo Hida (World Scientific, 2000)

Reviewed by Michael Berg

In Pursuit of the Unknown: 17 Equations that Changed the World, by Ian Stewart (Basic Books, 2012)

Reviewed by Susan D'Agostino

Linear Algebraic Groups and Finite Groups of Lie Type, by Gunter Malle and Donna Testerman (Cambridge University Press, 2011)

Reviewed by Felipe Zaldivar

Oeuvres Scientifiques I, by Laurent Schwartz (Societe Mathematique de France, 2011)

Reviewed by Fernando Q. Gouvea

Beautiful Mathematics, by Martin Erickson (Mathematical Association of America, 2011)

Reviewed by Alex Bogomolny

Elliptic Tales: Curves, Counting, and Number Theory, by Avner Ash and Robert Gross (Princeton University Press, 2012)

Reviewed by Michael Berg

Lessons in Geometry I: Plane Geometry, by Jacques Hadamard (American Mathematical Society/Education Development Center, Inc., 2008)

Reviewed by John McCleary

Nonparametric Statistical Tests: A Computational Approach, by Markus Neuhauser (Chapman & Hall/CRC, 2012)

Reviewed by Robert W. Hayden

Stefan Banach: Remarkable Life, Brilliant Mathematics, by Emilia Jakimowicz and Adam Miranowicz (Gdansk University Press/American Mathematical Society, 2012)

Reviewed by Charles Ashbacher

Continued Fractions, by A. Ya. Khinchin (Dover Publications (1997)

Reviewed by Allen Stenger

Lectures on Algebraic Geometry I: Sheaves, Comohology of Sheaves, and Applications to Riemann Surfaces, by Gunter Harder (Vieweg + Teubner, 2011)

Reviewed by Fernando Q. Gouvea

An Introduction to Functional Programming through Lambda Calculus, by Greg Michaelson (Dover Publications, 2011)

Reviewed by Tom Schulte

A Career in Statistics: Beyond the Numbers, by Gerald J. Hahn and Necip Doganaksoy (John Wiley, 2011)

Reviewed by Robert W. Hayden

A Guide to Plane Algebraic Curves, by Keith Kendig (Mathematical Association of America, 2011)

Reviewed by Mark Hunacek

Calculating Catastrophe, by Gordon Woo (Imperial College Press, 2011)

Reviewed by Charles Ashbacher

Calculus for Life Sciences: a Modeling Approach, by J. L. Cornette and R. A. Ackerman (Cornette and Ackerman, 2011)

Reviewed by Steven Deckelman and George Jennings

Development of Elliptic Functions According to Ramanujan, by K. Venkatachaliengar (World Scientific, 2011)

Reviewed by Michael Berg

Elementary Number Theory, by Jie Xiao (International Press, 2010)

Reviewed by Allen Stenger

Geometry, Perspective Drawing, and Mechanisms, by Don Row and Talmage James Reid (World Scientific, 2012)

Reviewed by Art Gittleman

History of Mathematics in Africa: Amuchma 25 Years, Volume 1: 1986–1999, by Paulus Gerdes and Ahmed Djebbar (Lulu, 2011)

Reviewed by Fernando Q. Gouvea

Who's #1? — The Science of Rating and Ranking , by Amy N. Langville and Carl D. Meyer (Princeton University Press, 2012)

Reviewed by Richard J. Wilders

Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics, by Lloyd N. Trefethen (World Scientific, 2011)

Reviewed by Underwood Dudley

The Mathematics of Signal Processing, by Steven B. Damelin and Wiilard Miller, Jr. (Cambridge University Press, 2012)

Reviewed by William J. Satzer

The Mathematical Works of Leon Battista Alberti, ed. by Kim Williams, Lionel March, Stephen R. Wassell (Birkhauser, 2010)

Reviewed by P. N. Ruane

Practical Conic Sections: The Geometric Properties of Ellipses, Parabolas and Hyperbolas, by J. W. Downs (Dover Publications, 2003)

Reviewed by Underwood Dudley

Petri Nonii Salaciensis Opera, ed. by Luis Trabucho de Campos, Henrique Leitao, and Joao Filipe Queiro (Universidade de Lisboa, 2003)

Reviewed by Fernando Q. Gouvea

Modern Statistics for the Social and Behavioral Sciences: A Practical Introduction, by Rand Wilcox (Chapman & Hall/CRC, 2011)

Reviewed by Robert W. Hayden

Geometry of Time-Spaces: Non-commutative Algebraic Geometry, Applied to Quantum Theory, by Olav Arnfinn Laudal (World Scientific, 2011)

Reviewed by Michael Berg

Real-World Problems for Secondary School Mathematics Students: Case Studies, by Juergen Maasz and John O'Donoghue (Sense Publishers, 2011)

Reviewed by Katherine Safford-Ramus

Representation Theory of Finite Groups: An Introductory Approach, by Benjamin Steinberg (Springer, 2012)

Reviewed by Mark Hunacek

Symmetry: A Mathematical Exploration, by Kristopher Tapp (Springer, 2012)

Reviewed by Charles Ashbacher

The Beauty of Everyday Mathematics, by Norbert Herrmann (Springer, 2012)

Reviewed by David S. Mazel

Introduction to the Theory of Statistical Inference, by Hannelore Liero and Silvelyn Zwanzig (Chapman & Hall/CRC, 2011)

Reviewed by David A. Huckaby

Linear Programming: Methods and Applications, 5th edition, by Saul I. Gass (Dover Publications, 2003)

Reviewed by Allen Stenger

Mathematical Methods in Science, byGeorge Polya (Mathematical Association of America, 1977)

Reviewed by Katherine Safford-Ramus

Numerals and Arithmetic in the Middle Ages, by Charles Burnett (Ashgate Variorum, 2010)

Reviewed by P. N. Ruane

Math Girls, by Hiroshi Yuki (Bento Books, 2011)

Reviewed by Marion Cohen

Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906–1942, by Daniel S. Alexander, Felice Iavernaro and Alessandro Rosa (American Mathematical Society/London Mathematical Society, 2012)

Reviewed by Felipe Zaldivar

A Course on Set Theory, by Ernest Schimmerling (Cambridge University Press, 2011)

Reviewed by Tom Schulte

Differentiable Manifolds: A Theoretical Physics Approach, by Gerardo F. Torres del Castillo (Birkhauser, 2012)

Reviewed by William Porter

Functions of Several Real Variables, by Martin Moskowitz and Fotios Paliogiannis (World Scientific, 2011)

Reviewed by Vicentiu D. Radulescu

Introduction to Algebraic Geometry and Commutative Algebra, by Dilip P. Patil and Uwe Storch (World Scientific, 2010)

Reviewed by John Perry

Introduction to Probability with Texas Hold'em Examples, by Frederic Paik Schoenberg (Chapman and Hall/CRC, 2012)

Reviewed by Mark Bollman

Math for Life: Crucial Ideas You Didn't Learn in School, by Jeffrey Bennett (Roberts and Company, 2012)

Reviewed by Ana Momidic-Reyna

Einstein and the Changing Worldviews of Physics, ed. by Christopher Lehner, Jurgen Renn, and Matthias Schemmel (Birkhauser, 2012)

Reviewed by Michael Berg

Enumerative Combinatorics, Vol I, 2nd Edition, by Richard P. Stanley (Cambridge University Press, 2011)

Reviewed by Darren Glass

Foundations of Potential Theory, by Oliver Dimon Kellogg (Dover Publications, 1954)

Reviewed by William J. Satzer

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, by William J. Cook (Princeton University Press, 2012)

Reviewed by Art Gittleman

A Beginner's Guide to Discrete Mathematics, 2nd Edition, by W. D. Wallis (Birkhauser, 2012)

Reviewed by Miklos Bona

A Concise Introduction to the Theory of Numbers, by Alan Baker (Cambridge University Press, 1984)

Reviewed by Allen Stenger

Brief Lives, together with An Apparatus for the Lives of our English Mathematical Writers and The Life of Thomas Hobbes of Malmesbury, by John Aubrey (Penguin, 2000)

Reviewed by P. N. Ruane

Discrete Mathematics, by Jean Gallier (Springer, 2011)

Reviewed by Gabriella Pinter

The Theory that Would Not Die, by Sharon Bertsch McGrayne (Yale University Press, 2011)

Reviewed by Robert W. Hayden

Train Your Brain: A Year's Worth of Puzzles, by George Grätzer (CRC Press, 2011)

Reviewed by Janet Shiver

Elements of Distribution Theory, by Thomas A. Severini (Cambridge University Press, 2011)

Reviewed by Peter Rabinovitch

Geometric Mechanics: Part I: Dynamics and Symmetry, 2^nd edition, by Darryl D. Holm (Imperial College Press, 2011)

Reviewed by William J. Satzer

A Mathematician Comes of Age, by Steven G. Krantz (Mathematical Association of America, 2012)

Reviewed by William J. Satzer

An Introduction to Category Theory, by Harold Simmons (Cambridge University Press, 2011)

Reviewed by Michael Berg

Bioinformatics for Biologists, by Pavel Pevzner and Ron Shamir (Cambridge University Press, 2011)

Reviewed by Charles Ashbacher

Classical Methods in Ordinary Differential Equations with Applications to Boundary Value Problems, by Stuart P. Hastings and J. Bryce McLeod (American Mathematical Society, 2012)

Reviewed by Vicentiu Radulescu

Probability in Banach Spaces: Isoperimetry and Processes, by Michel Ledoux and Michel Talagrand (Springer, 2011)

Reviewed by Fernando Q. Gouvea

Representations of Finite Groups, by C. Musili (Hindustan Book Agency, 2011)

Reviewed by Michael Berg

Taking Sudoku Seriously: The Math behind the World's Most Popular Pencil Puzzle, by Jason Rosenhouse and Laura Taalman (Oxford University Press, 2011)

Reviewed by Mark Hunacek

Tensors: Geometry and Applications, by J. M. Landsberg (American Mathematical Society, 2012)

Reviewed by Fernando Q. Gouvea

The Mutually Beneficial Relationship of Graphs and Matrices, by Richard A. Brualdi (American Mathematical Society, 2011)

Reviewed by Russell Jay Hendel

Turbulent Times in Mathematics: The Life of J. C. Fields and the History of the Fields Medal, by Elaine McKinnon Riehm and Frances Hoffman (American Mathematical Society/The Fields Institute, 2011)

Reviewed by Allen Stenger

Uneducated Guesses: Using Evidence to Uncover Misguided Education Policies, by Howard Wainer (Princeton University Press, 2011)

Reviewed by William J. Satzer

What is Mathematical Logic?, by J. N. Crossley, C. J. Ash, C. J. Brickhill, J. C. Stillwell, and N. H. Williams (Dover Publications, 1990)

Reviewed by Mark Hunacek

Special Functions: A Graduate Text, by Richard Beals and Roderick Wong (Cambridge University Press, 2010)

Reviewed by Warren Johnson

Optimal Play: Mathematical Studies of Games and Gambling, ed. by Stewart N. Ethier and William R. Eadington, (Institute for the Study of Gambling and Commercial Gaming, 2007)

Reviewed by Mark Bollman

Probability and Stochastics, by Erhan Cinlar (Springer, 2011)

Reviewed by Florin Catrina

Number-Crunching, by Paul J. Nahin (Princeton University Press, 2011)

Reviewed by David S. Mazel

Odd Numbers, by Herbert McKay (Cambridge University Press, 2009)

Reviewed by Tom Schulte

Introduction to Proof in Abstract Mathematics, by Andrew Wohlgemuth (Dover Publications, 2011)

Reviewed by Ana Momidic-Reyna

Fundamental Concepts of Geometry, by Bruce E. Meserve (Dover Publications, 1983)

Reviewed by William J. Satzer

Algebraic Graph Theory: Morphisms, Monoids and Matrices, by Ulrich Knauer (Walter de Gruyter, 2011)

Reviewed by Michael Berg

Quantum Mechanics and Quantum Field Theory: A Mathematical Primer, by Jonathan Dimock (Cambridge University Press, 2011)

Reviewed by Michael Berg

An Introduction to Stochastic Processes with Applications to Biology, 2^nd edition, by Linda J. S. Allen (Chapman and Hall/CRC, 2011)

Reviewed by Kathy Temple

Companion to the Papers of Donald Knuth, by Donald E. Knuth (CSLI Publications, 2011)

Reviewed by Fernando Q. Gouvea

Complex Variables: Principles and Problem Sessions, by A. K. Kapoor (World Scientific, 2011)

Reviewed by Russell Jay Hendel

Entropy in Dynamical Systems, by Tomasz Downarowicz (Cambridge University Press, 2011)

Reviewed by Vicentiu Radulescu

Expect the Unexpected: A First Course in Biostatistics, by Raluca Balan and Gilles Lamothe (World Scientific, 2011)

Reviewed by Miklos Bona

Grobner Bases in Commutative Algebra, by Viviana Ene and Jurgen Herzog (American Mathematical Society, 2012)

Reviewed by Felipe Zaldivar

Graphs, Networks and Algorithms, 3^rd edition, by Dieter Jungnickel (Springer, 2008)

Reviewed by Francis Fung

An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch (Springer, 2011)

Reviewed by Collin Carbno

Hidden Harmonies: The Lives and Times of the Pythagorean Theorem, by Robert Kaplan and Ellen Kaplan (Bloomsbury Press, 2011)

Reviewed by Richard Wilders

Russian Mathematics Education: Programs and Practices, ed. by Alexander Karp and Bruce R. Vogeli (World Scientific, 2011)

Reviewed by Charles Ashbacher

Selected Papers on Fun and Games, by Donald E. Knuth (CSLI Publications, 2011)

Reviewed by Fernando Q. Gouvea

Partial Differential Equations: A Unified Hilbert Space Approach, by Rainer Picard and Des McGhee (Walter de Gruyter, 2011)

Reviewed by Michael Berg

The Little Book of String Theory, by Steven S. Gubser (Princeton University Press, 2011)

Reviewed by P. N. Ruane

A First Course in Numerical Methods, by Uri M. Ascher and Chen Greif (SIAM, 2011)

Reviewed by Luiz Henrique de Figueiredo

A History of the Study of Mathematics at Cambridge, by Walter William Rouse Ball (Cambridge University Press, 2011)

Reviewed by P. N. Ruane

Nonlinear Mathematics, by Thomas L. Saaty and Joseph Bram (Dover Publications, 1982)

Reviewed by Allen Stenger

The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition, by Bernard Linsky (Cambridge University Press, 2011)

Reviewed by Felipe Zaldivar

The Game of Cops and Robbers in Graphs, by Anthony Bonato and Richard J. Nowakowski (American Mathematical Society, 2011)

Reviewed by Darren Glass

The Magic of Numbers, by Eric Temple Bell (Dover Publications, 1991)

Reviewed by Mehdi Hassani

The Mathematical Writings of Evariste Galois, by Peter M. Neumann (European Mathematical Society, 2011)

Reviewed by Jeremy Gray

Three Pearls of Number Theory, by A. Y. Khinchin (Dover Publications, 1998)

Reviewed by Dominic Klyve

Understanding Infinity: The Mathematics of Infinite Processes, by A. Gardiner (Dover Publications, 2002)

Reviewed by Mark Bollman

Universal Algebra: Fundamentals and Selected Topics, by Clifford Bergman (Chapman & Hall/CRC, 2011)

Reviewed by Michael Berg

Arithmetic of L-Functions, ed. by Cristian Popescu, Karl Rubin, and Alice Silverberg (American Mathematical Society/Institute for Advanced Study, 2011)

Reviewed by Darren Glass

Linear Partial Differential Equations and Fourier Analysis, by Marcus Pivato (Cambridge University Press, 2010)

Reviewed by Maeve McCarthy

Mathematics for High School Teachers: An Advanced Perspective, by Zalman Usiskin, Anthony Peressini, Elena Anne Marchisotto, and Dick Stanley (Prentice Hall, 2003)

Reviewed by Charles Ashbacher

Modern Classical Homotopy Theory, by Jeffrey Strom (American Mathematical Society, 2011)

Reviewed by Michael Berg

Numerical Analysis, 9^th edition, by Richard L. Burden and J. Douglas Faires (Brooks/Cole, 2011)

Reviewed by William J. Satzer

Partial Differential Equations of Mathematical Physics, by S. L. Sobolev (Dover Publications, 1989)

Reviewed by Florin Catrina

The Contest Problem Book: Annual High School Mathematics Examinations 1950–1960, by Charles T. Salkind (Mathematical Association of America, 1961)

Reviewed by Alex Bogomolny

The Crest of the Peacock: The Non-European Roots of Mathematics, 3^rd edition, by George Ghevargese Joseph (Princeton University Press, 2011)

Reviewed by Luke Hodgkin

Complex Analysis, 2^nd ed., by V. Karunakaran (Alpha Science, distributed by Taylor & Francis, 2005)

Reviewed by Dov Chelst

Discrete and Computational Geometry, by Satyan L. Devadoss and Joseph O'Rourke (Princeton University Press, 2011)

Reviewed by Bill Wood

Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications, by Steven Vajda (Dover, 2007)

Reviewed by Allen Stenger

Journey through Mathematics: Creative Episodes in Its History, by Enrique A. Gonzalez-Velasco (Springer, 2011)

Reviewed by P. N. Ruane

Nine Algorithms that Changed the Future: the Ingenious Ideas that Drive Today's Computers, by John MacCormick (Princeton University Press, 2012)

Reviewed by Art Gittleman

Algebraic Design Theory, by Warwick de Launey and Dane Flannery (American Mathematical Society, 2011)

Reviewed by Ezra Brown

An Introduction to Information Theory, by Fazlollah M. Reza (Dover Publications, 1994)

Reviewed by Tom Schulte

Beauty for Truth's Sake: On the Re-enchantment of Education, by Stratford Caldecott (Brazos Press, 2010)

Reviewed by Marcos B. Gouvea

How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra, by Joseph O'Rourke (Cambridge University Press, 2011)

Reviewed by Alex Bogomolny

Discrete Fourier Analysis, by M. W. Wong (Birkhauser, 2011)

Reviewed by Mehdi Hassani

Essentials of Integration Theory for Analysis, by Daniel W. Stroock (Springer, 2011)

Reviewed by Peter Rabinovitch

Elegance and Enigma: The Quantum Interviews, ed. by Maximilian Schlosshauer (Springer, 2011)

Reviewed by William J. Satzer

Eat Your Math Homework: Recipes for Hungry Minds, by Ann McCallum (Charlesbridge, 2011)

Reviewed by Christine Latulippe

A Basic Course in Partial Differential Equations, by Qing Han (American Mathematical Society, 2011)

Reviewed by Florin Catrina

Graph Algorithms, by Shimon Even, 2^nd edition (Cambridge University Press, 2011)

Reviewed by Miklos Bona

Knots, by Gerhard Burde and Heiner Zieschang, 3^rd edition (Walter de Gruyter, 2003)

Reviewed by Scott Taylor

Magical Mathematics: The Mathematical Ideas that Animate Great Magic Tricks, by Persi Diaconis and Ron Graham (Princeton University Press, 2011)

Reviewed by John D. Cook

Sources in the Development of Mathematics: Series and Products from the Fifteenth to the Twenty-first Century, by Ranjan Roy (Cambridge University Press, 2011)

Reviewed by Charles Ashbacher

Leonardo's Mirror and Other Puzzles and The Monty Hall Problem and Other Puzzles, by Ivan Moscovich (Dover Publications, 2011)

Reviewed by Alex Bogomolny

A Complex Analysis Problem Book, by Daniel Alpay (Birkhauser, 2011)

Reviewed by Mark Hunacek

An Introduction to Tensors and Group Theory for Physicists, by Nadir Jeevanjee (Birkhauser, 2011)

Reviewed by Michael Berg

An Invitation to Mathematics: From Competitions to Research, by Dierk Schleicher and Malte Lackmann, editors (Springer, 2011)

Reviewed by Alex Bogomolny

Expeditions in Mathematics, ed. by Tatiana Shubin, David F. Hayes, and Gerald L. Alexanderson (Mathematical Association of America, 2011)

Reviewed by Mike Daven

Abstract Algebra: An Introduction to Groups, Rings and Fields, by Clive Reis (World Scientific, 2011)

Reviewed by Miklos Bona

An Introduction to Orthogonal Polynomials, by Theodore S. Chihara (Dover Publications, 2011)

Reviewed by Allen Stenger

Continuous Symmetry: From Euclid to Klein, by William Barker and Roger Howe (American Mathematical Society, 2007)

Reviewed by James J. Madden

Introduction to Abstract Harmonic Analysis, by Lynn H. Loomis (Dover Publications, 2011)

Reviewed by Michael Berg

Multivariable Analysis, by Satish Shirali and Harkrishan Lal Vasudeva (Springer, 2011)

Reviewed by Mark Hunacek

Riemann Surfaces by Way of Complex Analytic Geometry, by Dror Varolin (American Mathematical Society, 2011)

Reviewed by Felipe Zaldivar

The Infinity Puzzle, by Frank Close (Basic Books, 2011)

Reviewed by Michael Berg

The Theory of Fusion Systems, by David A. Craven (Cambridge University Press, 2011)

Reviewed by Felipe Zaldivar

Cosmic Numbers: The Number that Define Our Universe, by James D. Stein (Basic Books, 2011)

Reviewed by William J. Satzer

Independence-Friendly Logic: A Game-Theoretic Approach, by Allen L. Mann, Gabriel Sandu and Merlijn Sevenster (Cambridge University Press, 2011)

Reviewed by Leon Harkleroad

Mathematical Foundations of Supersymmetry, by Claudio Carmeli, Lauren Caston, and Rita Fioresi (European Mathematical Society, 2011)

Reviewed by Michael Berg

Models and Games, by Jouro Vaananen (Cambridge University Press, 2011)

Reviewed by Leon Harkleroad

Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids, by Ronald Brown, Philip J. Higgins, and Rafael Sivera (European Mathematical Society, 2011)

Reviewed by Michael Berg

Pricing the Future, by George G. Szpiro (Basic Books, 2011)

Reviewed by William J. Satzer

The Selected Correspondence of L. E. J. Brouwer, by Dirk van Dalen (Springer, 2011)

Reviewed by Michael Berg

Risk and Meaning: Adversaries in Art, Science and Philosophy, by Nicolas Bouleau (Springer, 2011)

Reviewed by Darren Glass

Introduction to Homotopy Theory, by Martin Arkowitz (Springer, 2011)

Reviewed by Michael Berg

Iterative Methods for Ill-Posed Problems: An Introduction, by Anatoly B. Bakushinsky, Mihail Yu. Kokurin, and Alexandra Smirnova (Walter de Gruyter, 2011)

Reviewed by Brian Borchers

Playing with Infinity, by Rozsa Peter (Dover Publications, 1976)

Reviewed by Leon Harkleroad

The Best Writing on Mathematics 2011, ed. by Mircea Pitici (Princeton University Press, 2011)

Reviewed by Allen Stenger

Affine Maps, Euclidean Motions and Quadrics, by Agusti Reventos Tarrida (Springer, 2011)

Reviewed by Mark Hunacek

An Introduction to Complex Analysis, by Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas (Springer, 2011)

Reviewed by P. N. Ruane

Arithmetics, by Marc Hindry (Springer, 2011)

Reviewed by Allen Stenger

Geometry for College Students, by I. Martin Isaacs (American Mathematical Society, 2001)

Reviewed by Mark Hunacek

A Portrait of Linear Algebra, by Jude Thaddeus Socrates (Kendall Hunt, 2011)

Reviewed by Allen Stenger

A Survey of Matrix Theory and Matrix Inequalities, by Marvin Marcus and Henryk Minc (Dover Publications, 1992)

Reviewed by Mehdi Hassani

Abstract Algebra: Theory and Applications, by Thomas W. Judson

Reviewed by Christopher P. Thron

Calculus: Theory and Applications, Volume I, by Kenneth Kuttler (World Scientific, 2011)

Reviewed by Bill Wood

The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009, 2^nd edition, by Dusan Djukic, Vladimir Jankovic, Ivan Matic, and Nikola Petrovic (Springer Verlag, 2011)

Reviewed by Alex Bogomolny

Understanding Numbers in Elementary School Mathematics, by Hung-Hsi Wu (American Mathematical Society, 2011)

Reviewed by Janet Shiver

Collected Works of Herve Jacquet, ed. by Dorian Goldfeld (American Mathematical Society, 2011)

Reviewed by Michael Berg

Some Theory of Sampling, by William Edwards Deming (Dover Publications, 1984)

Reviewed by Tom Schulte

Viewpoints: Mathematical Perspective and Fractal Geomtery in Art, by Marc Frantz and Annalisa Crannell (Princeton University Press, 2011)

Reviewed by Alex Bogomolny

Projective Geometry: An Introduction, by Rey Casse (Oxford University Press, 2006)

Reviewed by Mark Hunacek

Reading, Writing, and Proving: A Closer Look at Mathematics, 2nd Edition, by Ulrich Daepp and Pamela Gorkin (Springer, 2011)

Reviewed by Allen Stenger

The Foundations of Statistics: A Simulation-based Approach, by Shravan Vasishth and Michael Broe (Springer, 2011)

Reviewed by Ita Cirovic Donev

The History and Development of Nomography, by H. A. Evesham (Docent Press, 2011)

Reviewed by Ron Doerfler

Non-Euclidean Geometry: A Critical and Historical Study of its Development, by Roberto Bonola (Dover Publications, 1955)

Reviewed by P. N. Ruane

Naive Set theory, by Paul R. Halmos (Springer erlag, 1974)

Reviewed by Allen Stenger

Introduction to Representation Theory, by Pavel Etingof et al. (American Mathematical Society, 2011)

Reviewed by Michael Berg

Mathematician's Delight, by W. W. Sawyer (Dover Publications, 2007)

Reviewed by P. N. Ruane

Mathematics Education for a New Era: Video Games as a Medium for Learning, by Keith Devlin (A K Peters, 2011)

Reviewed by Bill Wood

Poncelet Porisms and Beyond, by Vladimir Dragovic and Milena Radnovic (Birkhauser, 2011)

Reviewed by Darren Glass

Prelude to Mathematics, by W. W. Sawyer (Dover Publications, 1982)

Reviewed by P. N. Ruane

Bijective Combinatorics, by Nicholas A. Loehr (Chapman and Hall/CRC, 2011)

Reviewed by Peter Rabinovich

Boolean Functions: Theory, Algorithms, and Applications, by Yves Crama and Peter L. Hammer (Cambridge University Press, 2011)

Reviewed by Russell Jay Hendel

Introduction to Modern Algebra and Matrix Theory, 2nd edition, by O. Schreier and E. Sperner (Dover Publications, 2011)

Reviewed by Michael Berg

Mathematical Analysis of Physical Problems, by Philip R. Wallace (Dover Publications, 1984)

Reviewed by William J. Satzer

A Primer on Scientific Programming with Python, 2nd edition, by Hans Petter Langtangen (Springer, 2011)

Reviewed by John D. Cook

Fascinating Mathematical People: Interviews and Memoirs, ed. by Donald J. Albers and Gerald L. Alexanderson (Princeton University Press, 2011)

Reviewed by Michael Berg

Geometric Methods and Applications for Computer Science and Engineering, 2nd edition, by Jean Gallier (Springer, 2011)

Reviewed by Mark Hunacek

Geometry and the Visual Arts, by Dan Pedoe (Dover Publications, 1983)

Reviewed by Ronald Infante

Lectures on Linear Partial Differential Equations, by Gregory Eskin (American Mathematical Society, 2011)

Reviewed by Florin Catrina

Majority Judgement: Measuring, Ranking, and Electing, by Michel Balinski and Rida Laraki (MIT Press, 2011)

Reviewed by Alex Bogomolny

Mathematical Geoscience, by Andrew Fowler (Springer, 2011)

Reviewed by William J. Satzer

Theory of Sets, by E. Kamke (Dover Publications, 1950)

Reviewed by Allen Stenger

Math for the Frightened, by Colin Pask (Prometheus Books, 2011)

Reviewed by Charles Ashbacher

Introduction to Banach Spaces and Algebras, by Graham R. Allan, edited by H. Garth Dales (Oxford University Press, 2011)

Reviewed by Michael Berg

Measure and Integration, by Sterling K. Berberian (AMS/Chelsea Publishing, 2010)

Reviewed by Michael Berg

Studies in the History of Indian Mathematics, by C. S. Seshadri, editor (Hindustan Book Agency, 2010)

Reviewed by Fernando Q. Gouvea

The Real Numbers and Real Analysis, by Ethan D. Bloch (Springer, 2011)

Reviewed by William J. Satzer

The Structure of the Real Line, by Lev Bukovsky (Birkhäuser, 2011)

Reviewed by William J. Satzer

A New Look at Geometry, by Irving Adler (John Day, 1966)

Reviewed by P. N. Ruane

Thinking Mathematically, 2nd edition, by J. Mason, L. Burton, and K. Stacey (Prentice Hall, 2010)

Reviewed by Gizem Karaali

An Elementary Introduction to the Theory of Probability, by B. V. Gnedenko and A. Ya. Khinchin (Dover Publications, 1962)

Reviewed by Michael Berg

Mathematics for Economics, by Michael Hoy, John Livernois, Chris McKenna, Ray Rees, and Thanasis Stengos (MIT Press, 2011)

Reviewed by Fernando Q. Gouvea

Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry, by Jurgen Richter-Gebert (Springer, 2011)

Reviewed by Mark Hunacek

Polynomials, by Victor V. Prasolov (Springer, 2004)

Reviewed by Allen Stenger

Polynomials, by E. J. Barbeau (Springer Verlag, 2003)

Reviewed by Allen Stenger

Probability Tales, by Charles M. Grinstead, William P. Peterson, and J. Laurie Snell (American Mathematical Society, 2011)

Reviewed by William J. Satzer

Single and Multivariable Calculus, by David Guichard et al. (Open Source Book, 2011)

Reviewed by Victor Reiner and Albert Schueller

The Number Mysteries: A Mathematical Odyssey Through Everyday Life, by Marcus Du Sautoy (Macmillan, 2011)

Reviewed by P. N. Ruane

General Theory of Functions and Integrations, by Angus E. Taylor (Dover Publications, 1985)

Reviewed by Michael Berg

Introduction to Difference Equations, by Samuel Goldberg (Dover Publications, 1986)

Reviewed by Allen Stenger

Mathematical Analysis of Problems in the Natural Sciences, by Vladimir Zorich (Springer, 2011)

Reviewed by David S. Mazel

Mathematics for Secondary School Teachers, by Elizabeth G. Bremigan, Ralph J. Bremigan, and John D. Lorch (Mathematical Association of America, 2011)

Reviewed by Mark Bollman

Mathematics Methods for Elementary and Middle School Teachers, 6th Edition, by Mary M. Hatfield, Nancy Tanner Edwards, Gary G. Bitter, and Jean Morrow (John Wiley, 2008)

Reviewed by Christine Latulippe

Numerical Analysis, by L. Ridgway Scott (Princeton University Press, 2011)

Reviewed by William J. Satzer

p-Adic Lie Groups, by Peter Schneider (Springer, 2011) and

Reviewed by Fernando Q. Gouvea

Products of Finite Groups, by Adolfo Ballester-Bolinches, Ramon Esteban-Romero, and Mohamed Asaad (Walter de Gruyter, 2010)

Reviewed by Felipe Zaldivar

Matrix Calculus and Kronecker Product, 2nd Edition, by Willi-Hans Steeb and Yorick Hardy (World Scientific, 2011)

Reviewed by Michael Berg

An Introduction to Enumeration, by Alan Camina and Barry Lewis (Springer, 2011)

Reviewed by Allen Stenger

An Introduction to Heavy-Tailed and Subexponential Distributions, by Serge Foss, Dmitry Korshunov and Stan Zachary (Springer, 2011)

Reviewed by John D. Cook

Leonardo and Steve: The Young Genius Who Beat Apple to Market by 800 Years, by Keith Devlin (Smashwords, 2011)

Reviewed by Charles Ashbacher

At Home with Andre and Simone Weil, by Sylvie Weil (Northwestern University Press, 2011)

Reviewed by Michael Berg

p-adic Geometry, by Matthew Baker, Brian Conrad, Smait Dasgupta, Kiran S. Kedlaya, and Jeremy Teitelbaum (American Mathematical Society, 2008) and Elements de Geometrie Rigide, Volume I: Construction et Etude Geometrique des Espaces Rigides, by Ahmed Abbes (Birkauser, 2011)

Reviewed by Fernando Q. Gouvea

Rings and Their Modules, by Paul E. Bland (Walter de Gruyter, 2011)

Reviewed by Mark Hunacek

A First Course in Linear Algebra, by Robert Beezer (Robert Beezer, 2011)

Reviewed by Mike Daven and Tanya Leise

Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra, by Jiri Matousek (American Mathematical Society, 2010)

Reviewed by Fernando Q. Gouvea

The Man of Numbers: Fibonacci's Arithmetic Revolutions, by Keith Devlin (Walker & Company, 2011)

Reviewed by Charles Ashbacher

Essai sur La Theorie des Nombres, 2^nd edition, by Adrien-Marie Legendre (Cambridge University Press, 2011)

Reviewed by Fernando Q. Gouvea

An Early History of Recursive Functions and Computability from Godel to Turing, by Rod Adams (Docent Press, 2011)

Reviewed by Leon Harkleroad

Reflections on Quanta, Symmetries, and Supersymmetries, by V. S. Varadarajan (Springer, 2011)

Reviewed by Michael Berg

The Laplace Transform, by David Vernon Widder (Dover Publications, 2010)

Reviewed by Allen Stenger

Validated Numerics: A Short Introduction to Rigorous Computations, by Warwick Tucker (Princeton University Press, 2011)

Reviewed by John D. Cook

Elements of Differential Topology, by Anant R. Shastri (Chapman & Hall/CRC, 2011)

Reviewed by Michael Berg

A Mathematical Look at Politics, by E. Arthur Robinson, Jr. and Daniel H. Ullman (Chapman & Hall/CRC, 2011)

Exploratory Multivariate Analysis by Example Using R, by Francois Husson, Sebastien Le, and Jerome Pages (Chapman & Hall/CRC, 2011)

Geometry of Algebraic Curves, Volume II, by Enrico Arbarello, Maurizio Cornalba, and Phillip A. Griffiths (Springer 2011)

Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory, by Debabrata Basu (World Scientific, 2011)

Teaching Elementary Mathematics: A Resource for Field Experiences, by Nancy L. Smith, Diana V. Lambdin, Mary M. Lindquist, and Robert E. Reyes, 4th Edition (John Wiley, 2009)

The Complete Idiot's Guide to Game Theory, by Edward C. Rosenthal (Alpha, 2011)

The Theory of Algebraic Numbers, by Harry Pollard and Harold G. Diamond, 3rd Edition (Dover Publications, 1998)

Thomas' Calculus, by Maurice D. Weir and Joel Hass, 12th Edition (Addison-Wesley, 2010)

The Lebesgue Integral, by J. C. Burkill (Cambridge University Press, 2004)

Singularities of Integrals: Homology, Hyperfunctions and Microlocal Analysis, by Frederic Pham (Springer, 2011)

Real Analysis through Modern Infinitesimals, by Nader Vakil (Cambridge University Press, 2011)

Asymptotics and Special Functions, by Frank W. J. Olver (Chapman & Hall/CRC, 2010)

A Short Account of the History of Mathematics, by W. W. Rouse Ball (Dover Publications, 1960)

Mathematics for the Environment, by Martin Walter (Chapman & Hall/CRC, 2011)

A Motif of Mathematics, by Scott B. Guthery (Docent Press, 2010)

Lobachevski Illuminated, by Seth Braver (Mathematical Association of America, 2011)

Group Theory, by William R. Scott (Dover Publications, 1987).

Reviewed by Michael Berg.

Problems and Solutions in Mathematics (2nd Edition), ed. by Li Ta-Tsien (World Scientific, 2011).

Reviewed by Fernando Q. Gouvea.

Symplectic Invariants and Hamiltonian Dynamics, by Helmut Hofer and Eduard Zehnder (Birkhauser, 2011).

Reviewed by Michael Berg.

The Elements of Operator Theory (2nd Edition), by Carlos S. Kubrusly (Birkhauser, 2011).

Reviewed by Michael Berg.

The Mathematics of Life, by Ian Stewart (Basic Books, 2011).

Reviewed by Underwood Dudley.

The New Mathematics of Architecture, by Jane Burry and Mark Burry (Thames and Hudson, 2011).

Reviewed by Gerald L. Alexanderson.

The Proof is in the Pudding: The Changing Nature of Mathematical Proof, by Steven G. Krantz (Springer, 2011).

Reviewed by Charles Ashbacher.

Theory of Hypergeometric Functions, by Kazuhiko Aomoto and Michitake Kita (Springer, 2011).

Reviewed by Warren Johnson.