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Reviews

This page contains pointers to reviews of books, plays, movies and television shows that are related to mathematics (but are not aimed solely at the professional mathematician). Links are given to reviews posted on the web. In some cases the source requires a subscription, password or searching the archives to access the review; in other cases the review may only be available in print, directly from the source.

Recently added reviews:

Flatland: The Movie, by Seth Caplan, Jeffrey Travis, and Dano Johnson
Review by Michelle Press, Scientific American, May 2008

Fly me to the Moon, by Edward Belbruno
Review by Shane Ross, Notices of the AMS, April 2008 (PDF Document 134.85 KB)

Group Theory in the Bedroom, by Brian Hayes
Review by Mark Athitakis, "How things add up," Minneapolis Star-Tribune, April 11, 2008

Julia Robinson and Hilbert's Tenth Problem, Zala Films, Produced and Directed by George Csicsery
Review by Carol Wood, Notices of the AMS, May 2008 (PDF Document 5.91 MB)

Leonhard Euler, A Man to be Reckoned With, by Andreas K. Heyne and Alive K. Heyne
Review by Ivar Ekeland, Notices of the AMS, March 2008 (PDF Document 3.44 MB)

Mathematics and Democracy: Designing Better Voting and Fair-Division Voting Procedures, by Steven J. Brams
Review by Darren Glass, MAA Read This!, March 26, 2008

Nets, Puzzles, and Postmen: An Exploration of Mathematical Connections, by Peter M. Higgins
Review by Stephan Mertens, "Connecting the Dots," Science, April 11, 2008

The Sensual (Quadratic) Form, by John Horton Conway
Review by Michael Berg, MAA Read This!, March 26, 2008

Unknown Quantity: A Real and Imaginary History of Algebra, by John Derbyshire
Review by Sanford L. Segal, Notices of the AMS, May 2008 PDF Document 96.41 KB)

Useless Arithmetics: Why Environmental Scientists Can't Predict the Future, by Orrin H. Pilkey and Linda Pilkey-Jarvis
Review by Christopher K.R.T. Jones, "Is Mathematics Misapplied to the Environment?", Notices of the AMS, April 2008 PDF Document 94.81 KB)

Return to Math in the Media


Books Reviewed

Here's an article on the increased interest in books about mathematics and mathematicians:
"The numbers game: Why math books are hot," by Jane Boursaw and Tameka L. Hicks, USA Today Weekend Magazine, September 21, 2003

Also, see Mathematical Fiction, maintained by Alex Kasman (College of Charleston).

A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z

1089 and All That, A Journey into Mathematics, by David Acheson
Review by Günter M. Ziegler, "... a small idea of what it is I do all day... Introductions to Mathematics," Notices of the AMS, February 2005 (PDF Document 374KB)

* A *

Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability, by Peter Pesic
Review by Lars Garding, "Abel's Proof," Notices of the AMS, March 2004 (PDF Document 131KB)

After Math, by Miriam Webster
Review by Alex Kasman, "After Math, The Fractal Murders and Other Mathematical Murder Mysteries," Notices of the AMS, October 2003 (PDF Document 128KB)

Against the Day, by Thomas Pynchon
Review by Luc Sante, "Inside the Time Machine," The New York Review of Books, 11 January 2007
Review by Craig Seligman, "New Pynchon Lacks Fire," The Detroit Free Press, 24 December 2006

Against the Gods: The Remarkable Story of Risk, by Peter L. Bernstein
Review by S. L. Zabell, "Against the Gods: the Remarkable Story of Risk," Notices of the AMS, January 1999 (PDF Document 85KB)
Review by John Rothchild, "Books in Brief: Nonfiction," New York Times Book Review, (search) February 16, 1997

The Age of Shiva, by Manil Suri
Review by Orissa Plus,"Circle of Life," The Statesman, 30 January 2008
Interview by Lakshimi Indrasimhan, "No Magic Realism," Tehelka, 22 January 2008
Interview by Ziya Us Salam, "Writing is a lonely process," The Hindu, 20 January 2008
Review by Caryn James, "A Fire in the Heart," The New York Times Sunday Book Review, 24 February 2008

Alfred Tarski: Life and Logic, by Anita Burdman Feferman and Solomon Feferman
Review by Martin Davis, "The Man Who Defined Truth", American Scientist, March-April 2005
Review by Hourya Benis Sinaceur, Notices of the AMS, September 2007 (PDF Document 410KB)

Algebra in Ancient and Modern Times, by V. S. Varadarajan
Review by Ed Sandifer, "Read This!," MAA Online, 1998

The Annotated Flatland: A Romance of Many Dimensions, Edwin A. Abbott. Introduction and notes by Ian Stewart
Review by A. K. Dewdney, "The Annotated Flatland," Notices of the AMS, November 2002 (PDF Document 63KB)

The Apprenticeship of a Mathematician, by André Weil
Review by V.S. Varadarajan, "The Apprenticeship of a Mathematician--Autobiography of André Weil," Notices of the AMS, April 1999 (PDF Document 131KB)

Arabesques: Decorative Art in Morocco, by Jean-Marc Castéra
Review by Gregory Buck, "Algorithms of Boundless Beauty," Science, April 20, 2001

The Archimedes Codex, by Reviel Netz & William Noel
Review by Brian Clegg, "Archimedes' secrets revealed." Nature, 15 November 2007

Arthur Cayley: Mathematician Laureate of the Victorian Age by Tony Crilly.
Reviewed by A.W.F. Edwards, "The Forgotten Mathematician," Nature, June 1, 2006
Review by Daniel S. Silver, "The Secret History of Mathematicians," American Scientist, November-December 2006

The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed, by Amir D. Aczel
Review by Steven Poole, "Sound Advice," The Guardian Unlimited, September 8, 2007
Review by Michael Atiyah, Notices of the AMS, October 2007 (PDF Document 2956KB)
Review by Tony Lewis, "Fictitious character didn't add up," The Providence Journal, 15 October 2006

The Art of Mathematics: Coffee Time in Memphis, by Béla Bollobás
Review by James Propp, "Theorems to Savor," American Scientist, November-December 2007

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* B *

A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of Nature, by Tom Siegfried
Review by Ken Binmore, "Psychohistory in the Making?," American Scientist, July-August 2007

A Beautiful Mind, by Sylvia Nasar
Review by John Milnor, "John Nash and A Beautiful Mind," Notices of the AMS, November 1998 (PDF Document 113KB)
Review by James Case, "The Life and Times of One of the Century's Most Gifted Individuals," SIAM News, June 1999
Review by Keith Devlin, New Scientist, September 5, 1998
Review by David Goodstein, "Mathematics to Madness, and Back," New York Times Arts section, (search) June 11, 1998

The Bell Curve: Intelligence and Class Structure in American Life, by R. J. Herrnstein and Charles Murray.
Review by James Case, "Is the Bell Curve Statistically Sound?," SIAM News, January 1995
Review by Leon J. Kamin, Scientific American, Vol. 272 No. 2, February, 1995

Benjamin Franklin's Numbers, by Paul C. Pasles
Review by Jared Wunsch, "Magic squares and circles," Nature, 27 December 2007

Bertrand Russell: A Life, by Caroline Moorehead
Review by Philip J. Davis, "Russell's Real Paradox: The Wise Man Is a Fool," SIAM News, July 1994

Bertrand Russell: The Spirit of Solitude, 1872-1921, by Ray Monk
Review by Stuart Hampshire, "The Loneliness of the Long Distance Runner," New York Review of Books November 28, 1996
Review by Richard Bernstein, "More Adept With Concepts Than People," New York Times Weekend section, (search) December 6, 1996
Review by A. C. Grayling, "Philosophy with Warts," New York Times Book Review, (search) December 29, 1996

The Best of All Possible Worlds: Mathematics and Destiny, by Ivar Ekeland
Review by Joseph Mazur, "On the Right Path," Nature, January 4, 2007

Beyond the Limit: The Dream of Sofya Kovalevskaya, by Joan Spicci
Review by Ann Koblitz, "Beyond the Limit," Notices of the AMS, January 2004 (PDF Document 76KB)

The Bible Code, by Michael Drosnin
Review by Allyn Jackson, with commentary by Shlomo Sternberg, "The Bible Code: A Book Review," Notices of the AMS, September 1997 (PDF Document 158KB)

The Bit and the Pendulum: How the New Physics of Information is Revolutionizing Science, by Tom Siegfried
Review by Solomon Golomb, "The Bit and the Pendulum," Notices of the AMS, August 2002 (PDF Document63KB)

The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe, by John D. Barrow
Review by Jean-Pierre Luminet, "The Book of Nothing," Notices of the AMS, June/July 2002 (PDF Document 56KB)
Review by John O'Connor, "Nothing to it!," Nature, April 12, 2001

Bourbaki, A Secret Society of Mathematicians, by Maurice Mashaal
Review by Michael Atiyah, Notices of the AMS, October 2007 (PDF Document 2956KB)

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* C *

The Calculus Gallery: Masterpieces from Newton to Lebesgue, by William Dunham
Review by Judith V. Grabiner, "Landmarks on the Road to Modern Analysis," Science, June 24, 2005
Review by Victor J. Katz, "Reading the Masters," American Scientist, January-February 2006

California Dreaming: Reforming Mathematics Education, by Suzanne M. Wilson
Review by Anthony Ralston, "California Dreaming," Notices of the AMS, November 2003 (PDF Document91KB)

Called Too Soon By Flames Afar: Niels Hendrik Abel and His Times, by Arild Stubhaug
Review by Jesper Lutzen, "Called Too Soon By Flames Afar," Notices of the AMS, August 2002 (PDF Document132KB)

Celestial Encounters: The Origins of Chaos and Stability, by Florin Diacu and Philip Holmes
Review by Glen R. Hall, SIAM News, June 1997 (not online)
Review by Robert L. Devaney, Science, December 20, 1996

A Certain Ambiguity (A Mathematical Novel), by Gaurav Suri and Hartosh Singh Bal
Review by Danny Calegari, Notices of the AMS, February 2008 (PDF Document 1.14 MB)

Chance: A Guide to Gambling, Love, the Stock Market, and Just About Everything Else, by Amir D. Aczel
Review by Rick Durrett, "Chance: A Guide to Gambling, Love, the Stock Market, and Just About Everything Else," Notices of the AMS, August 2005 (PDF Document 165KB)

The Code Book: The Evolution of Secrecy from Mary, Queen of Scots to Quantum Cryptography, by Simon Singh
Review by Jim Reeds, "The Code Book," Notices of the AMS, March 2000 (PDF Document61KB)

Codebreakers: Arne Beurling and the Swedish Crypto Program during World War II, by Bengt Beckman
Review by Friedrich Bauer, "Codebreakers," Notices of the AMS, September 2003 (PDF Document68KB)

The Colossal Book of Mathematics, by Martin Gardner
Review by Ed Pegg, "The Colossal Book of Mathematics," Notices of the AMS, October 2002 (PDF Document62KB)

A Concise History of Mathematics, by Dirk Struik
Review by David Rowe, "Looking Back on a Bestseller: Dirk Struik's A Concise History of Mathematics," Notices of the AMS, June/July 2001 (PDF Document68KB)

Conned Again, Watson!: Cautionary Tales of Logic, Math, and Probability, by Colin Bruce
Review by Jim Tattersall, "Conned Again, Watson!," Notices of the AMS, November 2002 (PDF Document65KB)

The Constants of Nature, by John D. Barrow
Review by Brian E. Blank"The Constants of Nature and Just Six Numbers," Notices of the AMS, November 2004 (PDF Document 131KB)

Converging Realities: Toward a Common Philosophy of Physics and Mathematics, by Roland Omnès
Review by Reuben Hersh, "A Physicist's Philosophy of Mathematics," American Scientist, July-August 2005

Correspondence Grothendieck-Serre
Review by Michel Raynaud, "Correspondence Grothendieck-Serre," Notices of the AMS, October 2003
(PDF Document43KB)

Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition, by Steve Olson
Review by Daniel Ullman, "Count Down," Notices of the AMS, August 2004 (PDF Document203KB)
Review by Ken Fuson, "Count Down: Give Steve Olson credit for explaining why bright math minds should be admired, not reviled," Orlando Sentinel, (search) April 11, 2004
Review by Eric Arnesen, "Whiz kids," Chicago Tribune Books, (search) April 18, 2004

Crypto: How the Code Rebels Beat the Government--Saving Privacy in the Digital Age, by Stephen Levy
Review by Scott McLemee, "Decoder Ring: How a Ragged Band Broke the Government's Hold on Cryptography," New York Times Book Review, (search) January 14, 2001

Cryptonomicon, by Neal Stephenson
Review by Alex Kasman, "Cryptonomicon," Notices of the AMS, December 1999 (PDF Document 58KB)

The Curious Incident of the Dog in the Night-time, by Mark Haddon
Review by Helmer Aslaksen, "The Curious Incident of the Dog in the Night-time," Notices of the AMS, March 2006 (PDF Document 108KB)

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* D *

Damned Lies and Statistics: Untangling Numbers from the Media, Politicians, and Activists, by Joel Best
Review by Lynn Steen, "Damned Lies and Statistics," Notices of the AMS, February 2003 (PDF Document 91KB)
Review by Robert M. May, "Scientific uncertainties relating to the social issues of today," Nature, November 1, 2001

Dark Hero of the Information Age: In Search of Norbert Weiner, the Father of Cybernetics, by Flo Conway and Jim Siegelman
Review by Michael B. Marcus, Notices of the AMS, May 2006 (PDF Document 113KB)

Decoding the Universe: How the new Science of Information is Explaining Everything in the Cosmos, From our Brains to Black Holes, by Charles Seife
Review by Robert J. McEliece, "Life, the Universe and entropy," Nature, May 25, 2006

Descartes's Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe, by Amir D.Aczel
Review by Dorothy Clark, "A suspensful tale of Descartes's secrets," The Boston Globe, December 14, 2005

Descartes, the Pioneer of the Scientific Revolution, by Desmond Clarke
Review by Michel Serfati, Notices of the AMS, January 2008 (PDF Document 5.54 MB)

Does God Play Dice: The New Mathematics of Chaos, by Ian Stewart
Review by Philip Holmes, "Does God Play Dice: The New Mathematics of Chaos and What Shape is a Snowflake?," Notices of the AMS, December 2002 (PDF Document 142KB)

Dr Euler's Fabulous Formula: Cures Many Mathematical Ills, by Paul Nahin
Review by Timothy Gowers, "A mathematical tonic," Nature, 14 September 2006

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* E *

Education of a Mathematician, by Philip J. Davis
Review by David Gale, "The Education of a Mathematician," Notices of the AMS, January 2001 (PDF Document 52KB)

Einstein's Heroes: Imagining the World Through the Language of Mathematics, by Robyn Arianrhod
Review by Alfred Scharff Goldhaber, "Math as a Language in Its Own Right,"American Scientist, March-April 2006

Emblems of Mind: The Inner Life of Music and Mathematics, by Edward Rothstein.
Review by Leonard Gillman, Mathematical Intelligencer. Vol. 20, No. 3, Summer 1998
Reviewed by Shai Simonson, "Read This!," MAA Online, 1996
Review by Timothy Ferris, New York Times, June 7, 1995 (not online)
Review by Kendall L. Walton, New York Times Book Review, June 18, 1995 (not online)
Review by Jim Holt, The New Yorker, June 5, 1995 (not online)
Review by Jeffrey Nunemacher, American Mathematical Monthly, March 1997

Emergence of the Theory of Lie Groups. An Essay in the History of Mathematics, 1869-1926, by Thomas Hawkins
Review by David Rowe, "Emergence of the Theory of Lie Groups," Notices of the AMS, June/July 2003 (PDF Document 275KB)

The End of Science: Facing the Limits of Knowledge in the Twilight of the Scientific Age, by James Horgan.
Review by David Hoffman, "The End of Science: Facing the Limits of Knowledge in the Twilight of the Scientific Age," Notices of the AMS, February 1998 (PDF Document 171KB)

Enigma, by Robert Harris.
Review by Peter Hilton, "Enigma," Notices of the AMS, June 1996 (PDF Document 53KB)
Reviewed in New York Times Book Review, October 22, 1995 (not online)

An Equation that Changed the World: Newton, Einstein, & the Theory of Relativity, by Harald Fritzsch (translated from the German by Karin Heusch)
Review by Kenneth Yarnall, Mathematical Intelligencer, Vol. 19 No. 2, Spring 1997

The Equation That Couldn't Be Solved, by Mario Livio
Review by Mary Carmichael, "Analyze These!," Newsweek, December 5, 2005

The Equationss: Icons of Knowledge, by Sander Bais
Review by Malcolm Longair, "Summing up physics," Nature, 23 March 2006

The Essential Turing, A.M. Turing, B. Jack Copeland, Editors
Review by Andrew Hodges, Notices of the AMS, November 2006 (PDF Document 844KB)

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace, by Leonard Mlodinow
Review by Robert Langlands, "Euclid's Window," Notices of the AMS, May 2002 (PDF Document 1632KB)

Everything and More: A Compact History of Infinity, by David Foster Wallace
Review by Michael Harris, "A Sometimes Funny Book Supposedly About Infinity," Notices of the AMS, June/July 2004 (PDF Document 223KB)
Review by Anthony Doerr, "From here to infinity: Germs, math, and the beauty of discovery," The Boston Globe Books, (search) October 19, 2003
Review by Jim Holt, "To Infinity and Beyond," The New Yorker, October 27, 2003
Review by David Papineau, "Everything and More: Room for One More," New York Times Book Review, (search ) November 16, 2003
Review by David Kipen, "Math meets humor for infinite wonder," The San Francisco Chronicle, (search) November 18, 2003
Review by John Freeman, "History books calculate infinity, toll of violence," Denver Post, (search) December 28, 2003
Review by Amir Aczel, "When good novelists do bad science," The Globe and Mail, (search) January 3, 2004
Review by Rudy Rucker, "Infinite Confusion," Science, January 16, 2004
Review by John Allen Paulos, "electrified Paté," The American Scholar, Winter 2004

Evolutionary Dynamics: Exploring the Equations of Life, by Martin Nowak
Review by Sean Nee, Nature, 2 November 2006 (page 37)
Review by Steven A. Frank, "Master Class in Evolutionary Modeling," Science, 22 December 2006
Review by Carlos Castillo-Chavez and Carlos Castillo-Garsow, "Analytical Tools for Evolutionary Processes," American Scientist, November-December 2007.

Exploring Randomness, by Gregory Chaitin
Review by Panu Raatikainen, "Exploring Randomness and The Unknowable," Notices of the AMS, October 2001 (PDF Document 109KB)

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* F *

Fashionable Nonsense, by Alan Sokal and Jean Bricmont.
Note: This is the U.S. title of the English translation of the French original "Impostures Intellectuelles," which appeared in Britain as "Intellectual Imposters."
Review by William Faris, "Impostures intelectuelles," Notices of the AMS, August 1998 (PDF Document 96KB)
Review by John Sturrock, "La pauvre Sokal," London Review of Books, July 16, 1998
Review by Jim Holt, "Is Paris Kidding?" New York Times Book Review, (search) November 15, 1998

Fearless Symmetry: Exposing the Hidden Patterns of Numbers, by Avner Ash and Robert Gross
Review by Carren Glass, MAA Read This!, July 17, 2006
Review by Dino Lorenzini, "Fearless Symmetry--A Book Review," Notices of the AMS, January 2007 (PDF Document 60KB)
Review by Timothy Gowers, "The roots of complex problems." Nature, 1 March 2007

Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem, by Simon Singh.
Review by Allyn Jackson, "Fermat's Enigma," Notices of the AMS, November 1997 (PDF Document 84KB)
Review by Roger Penrose, "Q.E.D.," New York Times Book Review, (search) November 30, 1997
Review by Richard Bernstein, "Following a Proof of Fermat's Theorem to the Far Horizon of Pure Reason," New York Times, (search) November 28, 1997

Fermat's Last Theorem for Amateurs, by Paulo Ribenboim
Review by Michael Rosen, "Fermat's Last Theorem for Amateurs," Notices of the AMS, April 2000 (PDF Document 55KB)

Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, by Amir D. Aczel
Review by Richard Bernstein, "Finding Buried Treasure in Beautiful Mathematics," New York Times, (search) December 16, 1996

Finding Moonshine: A Mathematician's Journey Through Symmetry, by Marcus du Sautoy
Review by Graham Farmelo, The Telegraph, 27 January 2008
"Mirror Games," The Economist, 31 January 2008
Review by Alan Cane, "The nature of symmetry," Financial Times, 2 February 2008
Review by Lisa Jardine,"Finding Moonshine," The Sunday Times (UK) 3 February 2008
Review by Mark Ronan, "Multi-dimensional lives," Nature, 7 February 2008

Flatterland: Like Flatland, Only More So, by Ian Stewart
Reviewed by Jody Trout, "Flatterland: Like Flatland, Only More So," Notices of the AMS, April 2002 (PDF Document 65KB)
Review by Judith Rosen, "Narrative Plus Math Equals Sales," Publishers Weekly, April 16, 2001

Fly me to the Moon, by Edward Belbruno
Review by Shane Ross, Notices of the AMS, April 2008 (PDF Document 134.85 KB)

Fortune's Formula: The Untold Story of the Scientific Betting System that Beat the Casinos and Wall Street, by William Poundstone
Review by Elwyn Berlekamp, "Bettor Math," American Scientist, November-December 2005

Four Colors Suffice: How the Map Problem Was Solved, by Robin Wilson
Review by Bjarne Toft, "Four Colors Suffice," Notices of the AMS, February 2004 (PDF Document 93KB)
Review by Daniel S. Silver, "Map Quest," American Scientist, July-August 2003

The Fractal Murders, by Mark Cohen
Review by Alex Kasman, "After Math, The Fractal Murders and Other Mathematical Murder Mysteries," Notices of the AMS, October 2003 (PDF Document 128KB)

Fractals and Chaos: The Mandelbrot Set and Beyond, by Benoit B. Mandelbrot
Review by Kenneth Falconer, "Infinite beauty," Nature, July 1, 2004

Fragile Dominion: Complexity and the Commons, by Simon Levin
Reviewed by Martin Nowak and David Krakauer, "Fragile Dominion," Notices of the AMS, May 2000
(PDF Document 69KB)

Fragments of Infinity: A Kaleidoscope of Math and Art, by Ivars Peterson
Review by Tony Phillips, "Fragments of Infinity," Notices of the AMS, October 2002 (PDF Document 133KB)

From Zero to Infinity (50th Anniversary Edition), by Constance Reid
Review by Bruce Reznick, "From Zero to Infinity--A Book Review," Notices of the AMS, February 2007 (PDF Document 223KB)

Full House: The Spread of Excellence from Plato to Darwin, by Stephen Jay Gould
Review by James Case, SIAM News, March 1997 (not online)

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* G *

Gamma: Exploring Euler's Constant, by Julian Havil
Review by Dan Segal, "Gamma," Notices of the AMS, August 2004 (PDF Document 245KB)

Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematical Practice, by Amir R. Alexander
Review by Reuben Hersh, "In Search of Interior Riches," American Scientist, May-June 2003

Geometry Civilised, by J. L. Heilbronn
Review by Ian Stewart, New Scientist, July 25, 1998

Geometry: Our Cultural Heritage, by Audun Holme
Review by H. Wu, "Geometry: Our Cultural Heritage," Notices of the AMS, May 2004 (PDF Document 128KB)

George Green: Mathematician and Physicist, 1793-1841: The Background to his Life and Work, by D. M. Cannell
Review by Philip J. Davis, SIAM News, July-August 1996 (not online)

God Created the Integers, by Stephen Hawking
Review by Kevin Crowley, inthenews.co.uk, 12 September 2006

Gödel: A Life in Logic, by John Casti and Werner de Pauli
Review by Martin Davis, "Logical Dilemmas: The Life and Times of Kurt Gödel and Gödel: A Life of Logic," Notices of the AMS, September 2001 (PDF Document 140KB)

Gödel's Proof, by Ernest Nagel and James R. Newman
Review by Timothy McCarthy, "Gödel's Proof," Notices of the AMS, March 2004 (PDF Document 79KB)

Gödel's Theorem: An Imcomplete Guide to its Use and Abuse, by Torkel Franzén
Review by Panu Raatikainen, Notices of the AMS, March 2007 (PDF Document 787KB)

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number, by Mario Livio
Review by Eli Maor, "Symbol of Perfect Proportions," Science, February 14, 2003
Interview with Livio, "The Golden Ratio: Book Examines the Mystery of Phi, Pi's Lesser-Known Cousin," NPR's All Things Considered, March 13, 2003
Review by George Markowsky, "The Golden Ratio," Notices of the AMS, March 2005 (PDF Document(77KB)

Group Theory in the Bedroom, by Brian Hayes
Review by Mark Athitakis, "How things add up," Minneapolis Star-Tribune, April 11, 2008

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* H *

A Handbook of Mathematical Discourse, by Charles Wells
Review by Steven Krantz, "A Handbook of Mathematical Discourse," Notices of the AMS, September 2004 (PDF Document)

The Heart of Mathematics: An Invitation to Effective Thinking, by Edward B. Burger and Michael Starbird
Review by Günter M. Ziegler, "... a small idea of what it is I do all day...Introductions to Mathematics," Notices of the AMS, February 2005 (PDF Document(374KB)

Helaman Ferguson: Mathematics in Stone and Bronze, by Claire Ferguson
Review by Philip J. Davis, "Mathematics and Art: The Work of Helaman Ferguson," SIAM News, May/June 1994
Review by J. W. Cannon, Mathematical Intelligencer, Vol. 18 No. 2, Summer 1996

The Hilbert Challenge, by Jeremy J. Gray
Review by Brian Blank, "The Hilbert Challenge and The Honors Class," Notices of the AMS, September 2002 (PDF Document 81KB)
Review by W. Timothy Gowers, "A scientist to count on," Nature, April 5, 2001

Hinged Dissections: Swinging and Twisting, by Greg N. Frederickson
Review by Mike Eisenberg, "King of Swing," American Scientist, May-June 2003

The Honors Class, by Benjamin Yandell
Review by Brian Blank, "The Hilbert Challenge and The Honors Class," Notices of the AMS, September 2002 (PDF Document 81KB)
Review by John McCleary, "In Search of Solutions," American Scientist, May-June 2002
Review by Fernando Q. Gouvêa, "A Most Influential Problem Set," Science, May 3, 2002
Review by W. Timothy Gowers, "Winning the Numbers Game," Nature, June 13, 2002

How I Became a Quant, by Richard R. Lindsey and Barry Schachter
Review by Emanuel Derman, "Finance by the Numbers", Wall Street Journal Online, August 22, 2007

How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics, by William Byers
Review by Reuben Hersh, Notices of the AMS, December 2007(PDF Document 145.5 KB)
Review by Donal O'Shea, "What do mathematicians do?," Nature, October 25, 2007

How the Other Half Thinks: Adventures in Mathematical Reasoning, by Sherman Stein
Review by Edward Barbeau, "How the Other Half Thinks: Adventures in Mathematical Reasoning and Mathematics Galore! Masterclasses, Workshops, and Team Projects in Mathematics and Its Applications," Notices of the AMS, September 2002 (PDF Document 118KB)

Humble Pi: The Role Mathematics Should Play in American Education, by Michael K. Smith
Review by Conrad Plaut, "Eating Humble Pi," Notices of the AMS, July 1995 (PDF Document 80KB)

Hypatia of Alexandria, Mathematician and Martyr, by Michael A. Deakin
Interview by Shelley Widhalm, "The first lady of math," The Washington Times, 14 December 2007

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* I *

Imaginary Numbers: An Anthology of Marvelous Mathematical Stories, Diversions, Poems, and Musings, edited by William Frucht
Review by Alex Kasman, "Imaginary Numbers," Notices of the AMS, August 2000 (PDF Document 62KB)

An Imaginary Tale: The Story of the Square Root of -1, by Paul J. Nahin
Review by Brian Blank, "An Imaginary Tale," Notices of the AMS, November 1999 (PDF Document 76KB)
Review by Victor J. Katz, Science, January 22, 1999

Imagining Numbers (particularly the square root of minus fifteen), by Barry Mazur
Review by Dietmar Dath and Steven Krantz, "Imagining Numbers," Notices of the AMS, November 2003 (PDF Document 60KB)
Review by Jonathan Heawood, "Some numbers you can't count on," The Guardian U.K., (search) May 18, 2003
Review by Marcus du Sautoy, "A problem squared," The Guardian - Books U.K., (search) October 18, 2003

Imposteurs Intellectuelles, by Alan Sokal and Jean Bricmont (See Fashionable Nonsense above.)
Review by William Faris, "Impostures intellectuelles," Notices of the AMS, August 1998 (PDF Document 96KB)

In Code: A Mathematical Journey, by Sarah Flannery and David Flannery
Review by Rafe Jones, "In Code: A Mathematical Journey," Notices of the AMS, April 2003 (PDF Document 66KB)
Review by Kelle Love, "Prodigious Math," American Scientist, September-October 2001

Incompleteness: The Proof and Paradox of Kurt Gödel, by Rebecca Goldstein
Review by Gregory H. Moore, "The Incomplete Gödel," American Scientist, September-October 2005
Review by Juliette Kennedy, Notices of the AMS, April 2006 (PDF Document 166KB)

The Indian Clerk, by David Leavitt
Review by Brigitte Frase, "'The Indian Clerk: A Novel' by David Leavitt," The Los Angeles Times, September 2, 2007
Interview with Leavitt by Arthur J. Pais, "God, math, and Ramanujan's fascinating story,", Rediff India Abroad, September 3, 2007 Review by Robert J. Hughes, "A Mathematician Times Five," The Wall Street Journal Online, September 7, 2007
Review by David Mason, "Resonant Numbers," The Washington Post, September 9, 2007
Review by John Freeman,"Calculating relationships in 'The Indian Clerk'," Newsday.com, September 9, 2007
Review by Nilanjana S. Roy, "Mind the Gap," Business Standard, September 11, 2007
Review by Nell Freudenberger, "Lust for Numbers," New York Times Book Review, September 16, 2007
Review by Yvonne Zipp, "Passage from India for a Math Genius," Christian Science Monitor, September 18, 2007
Review by Ed Lake, "Calculated to please." Telegraph (UK), 2 October 2007
Interview with Leavitt by Scott Simon, "'The Indian Clerk' Who Changed Mathematics," NPR Weekend Edition, October 13, 2007 Review by Shougat Dasgupta. "Clerk Kent," Tehelka (India), 20 October 2007
Review by Nilanjana S. Roy. "The Indian Clerk and the Trinity Man," Business Standard, 23 October 2007
Review by Robert Hilferty. "David Leavitt's Novel Mates Math Genius, Gay Don in World War I," Bloomberg, 24 October 2007
Review by M Bhaktavatsala. "The clerk and the librarian," Deccan Herald (India), 28 October 2007
Review by Anna Mundow. "Opium, advanced mathematics, and no simpering," Boston Globe, 28 October 2007
Review by Shobhit Mahajan. "A Head for Numbers," Outlook India, 29 October 2007
REview by Steven E. Alford, "Math and the human equation." Houston Chronicle, 16 November 2007
Review by Nancy Wigston. "Genius, jealousy, sex and mathematics," The Star, 20 January 2008

Review by Andrew Robinson, "The Indian Clerk by David Leavitt." (UK), 1 February 2008
Review by Hugo Barnacle, "The Indian Clerk by David Leavittee." The Sunday Times (UK), 17 February 2008

 

Indiscrete Thoughts, by Gian-Carlo Rota
Review by Andrew Leahy, "Read This!," MAA Online (undated)
Review by Philip J. Davis, SIAM News, April 1997 (not online)
Review by Steven G. Krantz, "Indiscrete Thoughts,", Notices of the AMS, August 1997 (PDF Document 106KB)

Indra's Pearls: The Vision of Felix Klein, by David Mumford, Caroline Series and David J. Wright
Review by Al Marden, "Indra's Pearls," Notices of the AMS, January 2003 (PDF Document 850KB)
Review by Brian Hayes, "On the Complex Plane," American Scientist, March 2003
Review by Michael Field, "Reflections of Reflections Without End," Science, March 7, 2003

The Infinite Book: A Short Guide to the Boundless, Timeless and Endless, by John D. Barrow
Review by Greg Ross, Nanoviews, American Scientist, September-October 2005

The Infinite in the Finite, by Alastair Macintosh Wilson
Review by Elena Anne Marchisotto, "Read This!," MAA Online (undated)

Infinity: The Quest to Think the Unthinkable, by Brian Clegg
Review by Kevin R. Burger, "Read This!,", MAA Online, February 2005

In Polya's Footsteps, by Ross Honsberger.
Review by David Graves, "Read This!," MAA Online (Undated)

The Invention of Infinity: Mathematics and Art in the Renaissance, by J.V. Field
Review by Anthony Phillips, "The Invention of Infinity," Notices of the AMS, January 2000 (PDF Document 90KB)

Introduction to Circle Packing: The Theory of Discrete Analytic Functions, by Kenneth Stephenson
Review by David Mumford, "Stuff It!," American Scientist, January-February 2006

Irreligion: A Mathematician Explains Why the Arguments for God Just Don't Add Up, by John Allen Paulos
Review by Vithal C. Nadkarni, "Logic can't answer ultimate questions," The Economic Times (India), 30 January 2008
Review by Ron Csillag, "Math + religion = Trouble," The Star, 26 January 2008
Review by Michiko Katutani, "Prime Roller, Prepare to Meet a Wiseacre," The New York Times, 22 January 2008
Review by Jim Holt, "Proof," The New York Times, 13 January 2008

Irving Fisher: A Biography, by Robert L. Allen
Review by Philip J. Davis, "The Economist as Bankrupt," SIAM News, November 1994

Isaac Newton, by James Gleick
Review by Steve Krantz, "Isaac Newton," Notices of the AMS, December 2003 (PDF Document56KB)

It Must Be Beautiful: Great Equations of Modern Science, edited by Graham Farmelo
Review by William Faris, "It Must Be Beautiful," Notices of the AMS, March 2003 (PDF Document 116KB)
Review by Ian Stewart, "In the eye of the beholder," Nature, March 21, 2002
Review by Robert Osserman, "Not All Equations Are Equal," American Scientist, November-December 2002

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* J *

James Joseph Sylvester: Jewish Mathematician in a Victorian Worldb>, by Karen Parshall
Review by Daniel S. Silver, "The Secret History of Mathematicians," American Scientist, November-December 2006

János Bolyai, Non-Euclidean Geometry, and the Nature of Space, by Jeremy J. Gray
Review by Robert Osserman, "János Bolyai, Non-Euclidean Geometry, and the Nature of Space," Notices of the AMS, October 2005 (PDF Document 148KB)
Review by Fernando Q. Gouvêa, Science, 10 December 2004, pages 1893-1894.
Review by Brian Hayes, "Genius Unappreciated", American Scientist, May-June 2005.

Julia: A Life in Mathematics, by Constance Reid
Review by Fernando Q. Gouvêa, "Read This!," MAA Online (undated)

The Jungles of Randomness, by Ivars Peterson
Review by Rick Durrett, "The Jungles of Randomness: A Mathematical Safari," Notices of the AMS, June/July 1999 (PDF Document 59KB)
Review by Dex Whittinghill, "Read This!," MAA Online (undated)

Just Six Numbers, by Martin Rees
Review by Brian E. Blank "The Constants of Nature and Just Six Numbers," Notices of the AMS, November 2004 (PDF Document 131KB)

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* K *

Karl Pearson: The Scientific Life in a Statistical Age, by Theodore M. Porter
Review by Brian Blank, Notices of the AMS, December 2007 (PDF Document 1.3 MB KB)
Review by Peter J. Bowler. "Sorrows of the young statistician," Nature, July 29, 2004
Review by John Aldrich. "A Statistician in Embryo," American Scientist, July/August 2004
Review by Manfred D. Laubichler. "Tragedy Averted," Science, June 18, 2004
Review by Peter J. Bowler, "Sorrows of the young statistician," Nature, July 29, 2004

Kasparov versus Deep Blue: Computer Chess Comes of Age, by Monty Newborn
Review by Hans Berliner, "Kasparov versus Deep Blue: Computer Chess Comes of Age," Notices of the AMS, April 1998 (PDF Document 146KB)
Review by James Case, SIAM News, June 1997 (not online)

Kepler's Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World, by George G. Szpiro
Review by Neil Sloane, "The proof of the packing," Nature, September 11, 2003
Review by Doron Zeilberger, "To Prove the Optimal Packing," Science, August 29, 2003

King of Infinite Space, by Siobhan Roberts
Review by Robert Osserman, "The Mathematician as Shape Shifter," The Wall Street Journal, 25 November 2006
Review by Tony Rothman, "Meet Mr. Polytope," American Scientist, March-April 2007
Review by Marcus du Sautoy, "Strength in numbers," The Guardian Unlimited, 8 December 2007

The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, by Colin Adams
Review by Alexey Sossinsky, "Knots for Everyone: The Knot Book," Notices of the AMS, September 2005 (PDF Document 173KB)
Review by De Witt Sumners, Mathematical Intelligencer, Vol. 19 No. 1 (Winter 1997)Knots: Mathematics with a Twist, by Alexei Sossinsky, translated by by Giselle Weiss
Review by Andzej Stasiak, "A knotty story," Nature, January 30, 2003
Review by John Derbyshire, "Reconciling readers to a world of knots," The Washington Times, (search) March 9, 2003

Knowing and Teaching Elementary Mathematics, by Liping Ma
Review by Roger Howe, "Knowing and Teaching Elementary Mathematics," Notices of the AMS, September 1999 (PDF Document 81KB)

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* L *

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century, by David Salsburg
Review by Theodore Porter, "Statistical Tales," American Scientist, September-October 2001

Landscapes Without Memory, by Joan Fontcuberta
Review by Philip Ball, "Changing your world view," Nature, December 15, 2005

The LaTeX Graphics Companion--Illustrating Documents with TeX and Postscript, by Michel Goosen, Sebastian Rahtz, and Frank Mittelbach
Review by Bill Casselman, "The LaTeX Graphics Companion and TeX Unbound--A Review of Two Books," Notices of the AMS, December 1999 (PDF Document 84KB)

The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo, 2002, Olav Arnfinn Laudal and Ragni Piene, Editors Review by Fernando Q. Gouvêa, "Read This!," MAA Online, January 2005

Leonhard Euler, by Emil A. Fellmann
Review by Fernando Q. Gouvêa, Read This! MAA Online, March 22, 2007

Leonhard Euler, A Man to be Reckoned With, by Andreas K. Heyne and Alive K. Heyne
Review by Ivar Ekeland, Notices of the AMS, March 2008 (PDF Document 3.44 MB)

Letters to a Young Mathematician, by Ian Stewart
Review by Rhian Parker, "The maths mentor," Nature, 6 July 2006
Review by Paul A. Robinson Jr., "Clever proof that math has its charms," The Christian Science Monitor, April 25, 2006
Review by Fernando Q. Gouvêa, "Career Counseling," science&spirit, (issue date unknown), 2006
Review by Emma Carberry, Notices of the AMS, May 2007 (PDF Document 131KB)

The Life and Legacy of G. I. Taylor, by George Batchelor
Review by Peter Bradshaw, "The Life and Legacy of G. I. Taylor," Bulletin of the AMS, July 1997

The Lifebox, the Seashell, and the Soul: What Gnarly Computation Taught Me about Ultimate Reality, the Meaning of Life, and How to Be Happy, by Rudy Rucker
Review by Jaron Lanier, "Two Philosophies of Mathematical Weirdness,"American Scientist, May-June 2006

The Life of Stefan Banach, by Roman Kaluza
Review by Sheldon Axler, American Mathematical Monthly, June-July 1997

Linked: The New Science of Networks, by Albert-Laszlo Barabasi
Review by Rick Durrett, "The New Science of (Random) Networks," Notices of the AMS, February 2004 (PDF Document118KB)

Logical Dilemmas: The Life and Work of Kurt Gödel, by John Dawson
Review by Martin Davis, "Logical Dilemmas: The Life and Times of Kurt Gödel and Gödel: A Life of Logic," Notices of the AMS, September 2001 (PDF Document 140KB)

The Long Tail: Why the Future of Business Is Selling Less of More, by Chris Anderson
Review by Brian Hayes, "A Paradise of Choice?," American Scientist, January-February 2007

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* M *

A Madman Dreams of Turing Machines, by Janna Levin
Review by Charlotte Stretch, "Touched by genius," NewStatesman, 17 January 2008

The Magical Maze, by Ian Stewart
Review by Keith Devlin, New Scientist, 1998

The Man Who Knew Too Much: Alan Turing and the Invention of the Computer, by David Leavitt
Review by George Johnson, "Enigmatic," The New York Times, December 18, 2005
Review by Martin Davis, "Ahead of His Time," American Scienctist, July-August 2006
Review by S. Barry Cooper, Notices of the AMS, November 2006 (PDF Document 142KB)

The Man Who Loved Only Numbers, by Paul Hoffman
Review by Paul Halmos, "The Man Who Loved Only Numbers," Notices of the AMS, October 1998 (PDF Document 62KB)
Review by Keith Devlin, "Read This!," MAA Online, 1998
Review by James Alexander, New York Times Book Review, (search) September 27, 1998

The Martians of Science, by István Hargittai
Review by Arthur I. Miller, "The Hungarian martians," Nature, 30 November 2006 (pages 547-548)

Martin Gardner's Mathematical Games, by Martin Gardner
Review by Brian Hayes, "Nanoviews," American Scientist, January-February 2006

Math Doesn't Suck: How to Survive Middle School Math," by Danica McKellar
Review by Aaron Rowe, "Math Book Helps Girls Embrace Their Inner Mathematician," Wired, August 2, 2007
Review by Peg Tyre, "Math Makeover: It Adds Up for Girls," Newsweek, August 6, 2007
"An Interview with Wonder Years actress Danica McKellar," by Adam Swiderski, UnderGround Online, August 9, 2007
Review by Tracey Wong Briggs, "Just add 'author' into McKellar's equation," USA Today, August 13, 2007
Review by Joseph Dionisio, "'Wonder Years' star who played Winnie Cooper is a math whiz," Newsday, August 14, 2007
Review by Mark Bollman, MAA Read This!, October 9, 2007
Review by Kathy Lauer-Williams. "Math wonders for girls," Kansas City Star, 10 October 2007
Review by Ellen R. Delisio. "Wonder Years' Actress Extols Wonders of Math," Education World, 10 October 2007

Mathematical Encounters of the 2nd Kind, by Philip J. Davis
Review by Gina Kolata, SIAM News, 1997 (not online)

The Mathematical Experience, Study Edition, by Philip J. Davis, Reuben Hersh, and Elena Anne Marchisotto
Review by Kenneth C. Millett, "The Mathematical Experience, Study Edition," Notices of the AMS, November 1997 (PDF Document 71KB)

Mathematical Geography and Cartography in Islam and their Continuation in the Occident, Vol. I, by Fuat Sezing, translated by Guy Moore and Geoff Sammon
Review by A. M. Celâl Sengö, "Charting an Arabic course," Nature, June 8, 2006

Mathematical Go: Chilling Gets the Last Point, by Elwyn Berlekamp and David Wolfe
Review by Richard K. Guy and Richard J. Nowakowski, "Mathematical Go: Chilling Gets the Last Point," Bulletin of the AMS, 1995 (on JSTOR)

Mathematical Illustrations: A Manual of Geometry and PostScript, by Bill Casselman
Review by George K. Francis, "The Marvels of PostScript," American Scientist, November-December 2005
Review by Denis Roegel, "Mathematical Illustrations: A Manual of Geometry and PostScript--A Book Review," Notices of the AMS, January 2007 (PDF Document 804KB)

Mathematical Models of Social Evolution, by Richard McElreath and Robert Boyd
Review by Daniel J. Rankin, "Simple Maths for a Perplexing World," Science, November 9, 2007 (Vol. 318 Issue 5852, p919-920)

A Mathematical Mosaic: Patterns and Problem Solving, by Ravi Vakil
Review by Andre Toom, American Mathematical Monthly, January 1998 (on JSTOR)

A Mathematical Mystery Tour: Discovering the Truth and Beauty of the Cosmos, by A. K. Dewdney
Review by Lynn Steen, "A Mathematical Mystery Tour," Notices of the AMS, February 2000 (PDF Document 55KB)

Mathematical Reasoning: Analogies, Metaphors, and Images, edited by Lyn English
Review by Ed Dubinsky, "Mathematical Reasoning: Analogies, Metaphors, and Images," Notices of the AMS, May 1999 (PDF Document 67KB)

Mathematical Reflections, by Peter Hilton, Derek Holton, and Jean Pedersen
Review by T.W. Koerner, "Mathematical Reflections and Mathematical Vistas," Notices of the AMS, February 2003 (PDF Document108KB)

Mathematical Vistas, by Peter Hilton, Derek Holton, and Jean Pedersen
Review by T.W. Koerner, "Mathematical Reflections and Mathematical Vistas," Notices of the AMS, February 2003 (PDF Document108KB)

A Mathematician at the Ballpark: Odds and Probabilities for Baseball Fans, by Ken Ross
Review by Steve Morics. "Read This!," MAA Online, November 2004

The Mathematician's Brain, by David Ruelle
Review by David Berlinski, "Inside the Mathematical Mind," The New York Sun, August 29, 2007

A Mathematician Plays the Stock Market, by John Allen Paulos
Review by Robert Kuttner, "A Mathematician Plays the Stock Market: He Should Have Known Better," New York Times Book Review (search), November 2, 2003
Review by Vivek Kaul, "Sheer performance or plain luck?," Daily news India, 12 November 2006

A Mathematician Reads the Newspaper, by John Allen Paulos
Review by Gina Kolata, "A Mathematician Reads the Newspaper," Notices of the AMS, March 1996 (PDF Document 99KB)
Review by Peter Hilton, American Mathematical Monthly, April 1996 (on JSTOR)

A Mathematician's Survival Guide: Graduate School and Early Career Development, by Steven G. Krantz
Review by Elizabeth Brown, "A Mathematician's Survival Guide," Notices of the AMS, April 2004 (PDF Document 101KB)

The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Source Book, edited by Victor J. Katz
Review by George Gheverghese Joseph, "Multicultural legacy," Nature, 27 December 2007

Mathematicians under the Nazis, by Sanford L. Segal
Review by Jochen Brüning, "Mathematicians under the Nazis,", Notices of the AMS, April 2005 (PDF Document(164KB)

Mathematics and Common Sense, by Philip J. Davis
Review by John Ball, "Not Just a Pretty Equation," New Scientist, 25 November 2006
Review by Daniel N. Rockmore, "A Paradoxical Subject," American Scientist, November-December 2007.

Mathematics and Democracy: Designing Better Voting and Fair-Division Voting Procedures, by Steven J. Brams
Review by Darren Glass, MAA Read This!, March 26, 2008

Mathematics and the Roots of Postmodern Thought, by Vladimir Tasic
Review by Michael Harris, "Postmodern at an Early Age," Notices of the AMS, August 2003 (PDF Document 126KB)

Mathematics: A Very Short Introduction, by Timothy Gowers
Review by Günter M. Ziegler, "... a small idea of what it is I do all day...Introductions to Mathematics," Notices of the AMS, February 2005 (PDF Document(374KB)

Mathematics Elsewhere: An Exploration of Ideas Across Cultures, by Marcia Ascher
Review by Victor Katz, "Mathematics Elsewhere," Notices of the AMS, May 2003 (PDF Document 253KB)
Review by Helaine Selin, "An Inclusive perspective," Science, November 1, 2002
Review by John O'Connor, "Mathematics off the main line," Nature, October 10, 2002

Mathematics: From the Birth of Numbers, by Jan Gullberg
Review by Donald J. Albers, Scientific American, September 1998

Mathematics Galore! Masterclasses, Workshops, and Team Projects in Mathematics and Its Applications, by C.J. Budd and C.J. Sangwin
Review by Edward Barbeau, "How the Other Half Thinks: Adventures in Mathematical Reasoning and Mathematics Galore! Masterclasses, Workshops, and Team Projects in Mathematics and Its Applications," Notices of the AMS, September 2002 (PDF Document 118KB)

Mathematics in Nature: Modeling Patterns in the Natural World, by John A. Adam
Review by Brian D. Sleeman, "Mathematics in Nature: Modeling Patterns in the Natural World," Notices of the AMS, June/July 2005 (PDF Document(162KB) The Mathematics of Juggling, by Burkard Polster
Review by Allen Knutson, "The Mathematics of Juggling," Notices of the AMS, January 2004 (PDF Document 95KB)

The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Source Book, edited by Victor J. Katz
Review by George Gheverghese Joseph, "Multicultural legacy," Nature, 27 December 2007

Mathematics: The Science of Patterns, by Keith Devlin
Reviewed by H. O. Pollak, "Mathematics: The Science of Patterns," Notices of the AMS, November 1996 (PDF Document 85KB)

Mathematics Without Borders. A History of the International Mathematical Union, by Olli Lehto
Review by J.W.S. Cassels, "Mathematics Without Borders," Notices of the AMS, November 1999 (PDF Document 39KB)

The Math Gene: How Mathematical Thinking Evolved and Why Numbers are Like Gossip, by Keith Devlin
Review by Allyn Jackson, "The Math Gene," Notices of the AMS, February 2001 (PDF Document 50KB)

The Math Instinct: Why You're a Mathematical Genius (Along With Lobsters, Birds, Cats, and Dogs), by Keith Devlin
Review by Fenella Saunders, Nanoviews, American Scientist, November-December 2005
Review by Alex Stone, Books: "The Math Instinct," Discover, May 2005
Review by Elizabeth Sourbut, "The Math Instinct by Keith Devlin," New Scientist, April 9, 2005

Math through the Ages: A Gentle History for Teachers and Others
Review by Phillip C. Curtis. Jr., "Math through the Ages: A Gentle History for Teachers and Others--A Book Review," Notices of the AMS, October 2004 (PDF Document 65KB)

Measuring the World, by Daniel Kehlmann (translated by Carol Brown Janeway)
Review by Caroline Ash, "The World Measurers," Science, July 27, 2007
Review by John Whitfield, "Opposites Attract," Nature, February 15 2007

Meta Math! The Quest for Omega, by Gregory Chaitin
Review by Jaron Lanier, "Two Philosophies of Mathematical Weirdness,"American Scientist, May-June 2006
Review by Ivor Grattan-Guinness, "Incomplete mathematics," Nature, 16 February 2006

The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time, by Keith J. Devlin
Review by Brian Blank, "The Millennium Problems," Notices of the AMS, September 2003 (PDF Document 96KB)
Review by Jeremy Gray, "Trying to figure it out," Nature, November 14, 2002
Radio interview with Devlin, "Wanted: Math Solutions," NPR's Weekend Edition, January 18, 2003
Review by Steve Kennedy, "Who Wants To Be A Millionaire?," American Scientist, March 2003
Review by Robert Matthews, "Go figure," New Scientist, January 3, 2004

The Mind of Bill James: How a Complete Outsider Changed Baseball, by Scott Gray.
Review by Hugo Lindgren, "I'll Manage," The New York times Book Review, June 4, 2006

The Mind of the Mathematician, by Michael Fitzgerald and Ioan James
Review by Donal O'Shea, "What do mathematicians do?," Nature, October 25, 2007

Music: A Mathematical Offering, by David J. Benson
Review by Peter Pesic, "Harmonious Relations ," American Scientist, July-August 2007

The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics, by Marcus du Sautoy
Review by Kristen Leutwyler, "Math's Most Wanted," Scientific American, May 2003
Review by Ben Longstaff, "Prime time," New Scientist, May 10, 2003
Review by W.T. Gowers, "Prime time for mathematics," Nature, October 9, 2003

Musings of the Masters: An Anthology of Mathematical Reflections, Edited by Raymond G. Ayoub
Review by Victor J. Katz, "Reading the Masters," American Scientist, January-February 2006

My Brain is Open, by Brian Schechter
Review by Keith Devlin, "Read This!," MAA Online, 1998

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* N *

The Nature of Space and Time, by Stephen Hawking and Roger Penrose.
Review by Claude LeBrun, "The Nature of Space and Time," Notices of the AMS, December 1998
(PDF Document 76KB)

Nature's Numbers, by Ian Stewart.
Reviewed by J. E. Cremona, "Nature's Numbers," Notices of the AMS, December 1997 (PDF Document 58KB)
Review by Freeman Dyson, American Mathematical Monthly, August-September 1996
Review by John Malito, Mathematical Intelligencer, Winter 1997 (on JSTOR)

Negative Math: How Mathematical Rules Can Be Positively Bent, by Alberto A. Martínez
Review by Brian Hayes, Nanoviews, American Scientist, May-June 2006

Nets, Puzzles, and Postmen: An Exploration of Mathematical Connections, by Peter M. Higgins
Review by Stephan Mertens, "Connecting the Dots," Science, April 11, 2008

A New Kind of Science, by Stephen Wolfram
Review by Edward Rothstein, "A man Who Would shake Up Science," New York Times Arts & Ideas, (search) May 11, 2002
Review by Jim Giles, "What kind of science is this?," Nature, May 16, 2002
Interview by Richard Monastersky with Wolfram about his book, "An Independent Scientist Explains Why His Self-Published Book Is So Revolutionary," The Chronicle of Higher Education, May 17, 2002
Review by John L. Casti, "Science is a computer program," Nature, May 23, 2002
Review by Dennis Overbye, "Did This Man Just Rewrite Science?," New York Times, (search) June 11, 2002
Review by George Johnson, "What's So New in a Newfangled Science?," New York Times, (search) June 16, 2002
Review by Gareth Cook, "A challenging view of the universe," The Boston Globe, (search) June 19, 2002
Review by Greg Huang, "Life, the Universe, and Everything," The Atlantic Monthly, June 26, 2002
Review by Brian Hayes, "The World According to Wolfram," American Scientist, July-August 2002
Review by Lawrence Gray, "A Mathematician Looks at Wolfram's A New Kind of Science," Notices of the AMS, February 2003 (PDF Document 382KB)
Review by Peter Weiss, "In Search of a Scientific Revolution," Science News, August 16, 2003

Noeuds: Genèse d'une Théorie Mathématique, by Alexei Sossinsky
Review by Alain Goriely, "Noeuds," Notices of the AMS, June/July 2000 (PDF Document 55KB)

Nonplussed: Mathematical proof of implausible ideas, by Julian Havil
Review by Justin Mullins, "Unbelievable Truths," New Scientist, 9 June 2007

Number: From Ahmes to Cantor, by Midhat Gazale
Review by Bryan Birch, "Number: From Ahmes to Cantor," Notices of the AMS, August 2001 (PDF Document 50KB)

The Number Devil, by Hans Magnus Enzensberger
Review by Deborah Loewenberg Ball and Hyman Bass, "The Number Devil," Notices of the AMS, January 2000 (PDF Document 72KB)

The Number Sense: How the Mind Creates Mathematics, by Stanislas Dehaene
Review by Steven Rose, New York Times Book Review, (search) February 8, 1998

The Numbers Behind Numb3rs, by Keith Devlin and Gary Lorden
Review by Adriana Salerno, Voice of America News, August 13, 2007

Numerology, or What Pythagoras Wrought, by Underwood Dudley
Review by Walter S. Sizer, "Read This!," MAA Online (undated)

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* O *

Once Upon a Number: A Mathematician Bridges Stories and Statistics, by John Allen Paulos
Review by Robert Matthews, New Scientist, January 16, 1999
Review by Colin Adams, "Once Upon a Number," Notices of the AMS, September 1999 (PDF Document 48KB)

One to Nine, by Andrew Hodges
Review by Graham Farmelo, "Numbers are full of surprises," The Telegraph (U.K.), September 27, 2007

On the Shoulders of Giants, by Malcolm E. Lines
Review by Philip J. Davis, SIAM News, August-September 1995 (not online)

The Oxford Murders, by Guillermo Martinez
Review by Robin Wilson, "The Oxford Murders,", Notices of the AMS, November 2005 (PDF Document 160KB)
Review by Marcus du Sautoy, The Guardian, February 5, 2005

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* P *

The Parrot's Theorem, by Denis Guedj
Review by Queena N. Lee-Chua, "The Parrot's Theorem," Notices of the AMS, March 2001 (PDF Document 52KB)

The Parsimonious Universe, by Stefan Hildebrandt and Anthony Tromba
Review by Frank Morgan, American Mathematical Monthly, April 1997

Paul Dirac: The Man and His Work, by Abraham Pais, Maurice Jacob, David I. Olive, and Michael F. Atiyah
Review by Clifford H. Taubes, "Paul Dirac: The Man and His Work," Notices of the AMS, October 1998 (PDF Document 72KB)

The Pea and the Sun: A Mathematical Paradox, by Leonard M. Wapner
Review by Peter Komjath, Notices of the AMS, October 2006 (PDF Document 128KB)

Penrose Tiles to Trapdoor Ciphers, and the Return of Dr. Matrix, by Martin Gardner
Review by Richard Vinson, "Read This!," MAA Online (Undated)

Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, by James Robert Brown
Review by William Faris, "Philosophy of Mathematics," Notices of the AMS, November 2000
(PDF Document 65KB)

π: A Biography of the World's Most Mysterious Number by Alfred S. Posamentier and Ingmar Lehmann
Review by Eli Maor, Science, 10 December 2004, page 1894.

Piero della Francesca. A Mathematician's Art, by J.V. Field
Review by Michele Emmer, Notices of the AMS, March 2007 (PDF Document 3802KB)

Pioneers in Mathematics, by Michael Bradley
Review by Julie Kirkwood, "Substracting the scare factor from math: Local professor's new books add human stories to history of mathematics," The Eagle Tribune (North Andover, MA), 23 October 2006

The Pleasures of Counting, by T. W. Körner
Review by Brian E. Blank, "The Pleasures of Counting," Notices of the AMS, March 1998 (PDF Document 109KB)
Review by Fernando Q. Gouvêa, "Read This!," MAA Online (undated)
Review by David Berlinski, "Ground Zero," The Sciences, July/August 1997
Review by Peter Hilton, American Mathematical Monthly, May 1998 (on JSTOR)

Poetry of the Universe: A Mathematical Exploration of the Cosmos, by Robert Osserman
Review by Allyn Jackson, "A Geometer's View of Space-Time," Notices of the AMS, June 1995
(PDF Document 73KB)
Review by David N. Schramm, New York Times Book Review May 21, 1995 (not online)

The Poincaré Conjecture, by Donal O'Shea
Review by W.B. Raymond Lickorish, Notices of the AMS, January 2008 (PDF Document 2.73 MB)
Review by Stephen Ornes, "We Also Like," Discover, March 2007
Review by Amir Aczel, "Solving a Math Conundrum," Wall Street Journal Online, February 28, 2007
Review by John Morgan, "The Shape We're In," American Scientist, July-August 2007
Review by Nicholas Blincoe, "Neither Sphere Nor There," The Telegraph (U.K.), May 17, 2007

Poincaré's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles, by George G. Szpiro
Review by W.B. Raymond Lickorish, Notices of the AMS, January 2008 (PDF Document 2.73 MB)

Politics, Logic, and Love: The Life of Jean van Heijenoort, by Anita Burdman Feferman
Review by Jeffrey Nunemacher, American Mathematical Monthly, February 1995

Polyhedra, by Peter R. Cromwell
Review by Bill Casselman, "Polyhedra," Notices of the AMS, September 1998 (PDF Document 97KB)
Review by Ed Sandifer, "Read This!," MAA Online, September 1999

PopCo, by Scarlett Thomas
Review by Alex Kasman, "PopCo," Notices of the AMS, February 2006 (PDF Document 153KB)
Review by Ivars Peterson, "Code Breaking: A Toy Story," Science News, August 5, 2006

Prime Numbers: A Computational Perspective, by Richard Crandall and Carl Pomerance
Review by Stan Wagon, "Prime Time," American Scientist, January 2002

Prime Obsession, by John Derbyshire
Review by Greg Mone, "The Grade A, Number 1 Prime Puzzle of Math," Popular Science ("Book of the Month" and extended review), May 2003
Review by Kristen Leutwyler, "Math's Most Wanted," Scientific American, May 2003
Review by Raymond Petersen, "Mathematics problem that remains elusive -- and beautiful," Washington Times, (search) August 17, 2003
Review by Enrico Bombieri, "The Indivisible Man," American Scientist, July-August 2003
Review by Brian Conrey, "Prime Time for the Riemann Hypothesis," Science, October 3, 2003
Review by W.T. Gowers, "Prime time for mathematics," Nature, October 9, 2003

A Primer of Mathematical Writing, by Steven G. Krantz
Review by Paul Halmos, "A Primer of Mathematical Writing," Notices of the AMS, May 1997
(PDF Document 152KB)

Privacy on the Line: The Politics of Wiretapping and Encryption, by Whitfield Diffie and Susan Landau
Review by Stewart Baker and Peter G. Neumann, "Privacy on the Line," Notices of the AMS, June/July 1998 (PDF Document 88KB)

Project Origami: Activities for Exploring Mathematics, by Thomas Hull
Review by Helena Verrill, Notices of the AMS, May 2007 (PDF Document 226KB)

Proofs from THE BOOK, by Martin Aigner and Günter M. Ziegler
Review by Daniel Ullman, "Proofs from THE BOOK,"Notices of the AMS, August 1999 (PDF Document 50KB)

Pursuit of Genius: Flexner, Einstein, and the Early Faculty at the Institute for Advanced Study, by Steve Batterson
Review by John Stachel, "Heady Days in Princeton," Nature, January 18, 2007

Pythagoras and the Pythagoreans: A Brief History, by Charles Kahn, and Pythagoras: His Life, Teaching and Influence, by Christoph Riedweg, translated by Steven Rendall
Review by M.F. Burnyeat, "Other Lives," London Review of Books, February 22, 2007

Pythagoras' Trousers: God, Physics, and the Gender Wars, by Margaret Wertheim
Review by Philip J. Davis, "Deus Ex Hominibus: Science, Theology, and Masculinity," SIAM News, March 1998

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* Q *

The Quark and the Jaguar: Adventures in the Simple and the Complex, by Murray Gell-Mann
Review by James Case, "A Dedicated Conservationist Embraces The Science of Complexity," SIAM News, July 1994
Review by Timothy Ferris, "On the Edge of Chaos," New York Review of Books, September 21, 1995

Quasicrystals and Geometry, by Marjorie Senechal
Review by Charles Radin, "Quasicrystals and Geometry," Notices of the AMS, April 1996 (PDF Document 401KB)

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* R *

Radical Equations: Math Literacy and Civil Rights, by Robert P. Moses
Reviewed by Neal Koblitz, "Radical Equations: Math Literacy and Civil Rights," Notices of the AMS, March 2002 (PDF Document 71KB)

The Rainbow Bridge: Rainbows in Art, Myth, and Science, by Raymond L. Lee, Jr. and Alistair B. Fraser
Review by John A. Adam, "Like a Bridge Over Colored Water: Review of The Rainbow Bridge," Notices of the AMS, December 2002 (PDF Document 667KB)

Randomness, by Deborah J. Bennett
Review by Randall J. Swift, "Read This!,", MAA Online, 1998

Realism in Mathematics, by Penelope Maddy
Review by Morris W. Hirsch, Bulletin of the AMS, 1995 (on JSTOR)

Reality Conditions: Short Mathematical Fiction, by Alex Kasman
Review by John Swallow, Notices of the AMS, August 2006 (PDF Document157KB)

Reasoning with the Infinite: From the Closed World to the Mathematical Universe, by Michel Blay, translated by M. B. Debevoise.
Review by Margaret Wertheim, New Scientist, September 19, 1998

The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics, by Karl Sabbagh
Review by Kristen Leutwyler, "Math's Most Wanted," Scientific American, May 2003
Review by Enrico Bombieri, "The Indivisible Man," American Scientist, July-August 2003
Review by James Alexander, "Mathematical Mystery," New York Times, (search) July 6, 2003

La Rivoluzione Dimenticata (The Forgotten Revolution), by Lucio Russo
Review by Sandro Graffi, "La Rivoluzione Dimenticata (The Forgotten Revolution)," Notices of the AMS, May 1998
(PDF Document 129KB)

The Road to Reality: A Complete Guide to the Laws of the Universe, by Roger Penrose
Review by Brian Blank, Notices of the AMS, June/July 2006 (PDF Document 177KB)
Review by David M. Bressoud, "Read this!", MAA Online, June 16, 2005
Review by Seth Lloyd, "On the road with Roger Penrose," Physics World, September 1, 2004

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* S *

Saunders Mac Lane: A Mathematical Autobiography, by Saunders Mac Lane
Review by Lance W. Small, "Saunders Mac Lane," Notices of the AMS, December 2005 (PDF Document 119KB)
Review by Ivars Peterson, "Works in Progress," Science News Online, April 30, 2005

Science in the Looking Glass: What Do Scientists Really Know?, by E. Brian Davies
Review by Martin Gardner, "Science in the Looking Glass," Notices of the AMS, December 2005 (PDF Document 151KB)

The Science of Conjecture: Evidence and Probability before Pascal, by James Franklin
Review by Jane Hawkins, "Casting Light on the Shadow of D