Theorem of the Day
The main purpose of this bibliography is to collect all the books given as "Further Reading" on individual theorem pages. Numbers in square brackets against an entry link to the theorems which cite it.
Clicking on the book names will take you to amazon.co.uk where you will find more detailed bibliographic information, customer reviews and, increasingly, their excellent 'Search Inside' facility.
If you buy the book during your visit to amazon.co.uk I receive a referral fee, for which I am grateful. However, inclusion of a book in this bibliography does not mean the book is recommended. Wherever possible an expert review is cited, denoted by the word Review, and these are by no means always entirely complimentary!
Reviews are mostly from: the 'bookshelf' (by American Scientist); cut-the-knot; I Love Maths (by The Institute of Mathematics and its Applications); the London Mathematical Society's newsletter, the Notices of the American Mathematical Society, the Reviews site of the Mathematical Association of America; plus magazine. They will open in a new window. Mostly, the reviews are pdf files; some of the AMS reviews are extended essays, including images, and can be relatively large files (a size indication is given where appropriate).
If you know of an additional online review of any of the books here (or would like to contribute one) I would be very glad to include a link to it.
Occasionally there is a legitimate free electronic version of a book. I link to this with the word Ebook. Again, I'd be very pleased to know of more. Increasingly books have webpages supporting them (sometimes even Wikipedia entries) and these are linked with the word Webpage.
I have grouped the entries below into, necessarily somewhat arbitrary, categories as follows:
Collections, Dictionaries, Encyclopedias
(You may actually be one of the books in the 'Research level' category: David Savitt lets you find out here.)
Collections, Dictionaries, Encyclopedias
Barry Cipra, What's Happening in the Mathematical Sciences, vol. 1 , American Mathematical Society, 1993.
Barry Cipra (ed. Paul Zorn), What's Happening in the Mathematical Sciences, vol. 2, American Mathematical Society, 1994.
——— , What's Happening in the Mathematical Sciences, vol. 3, Americal Mathematical Society, 1996.
——— , What's Happening in the Mathematical Sciences, vol 4, Americal Mathematical Society, 1999.
——— , What's Happening in the Mathematical Sciences, vol. 5, American Mathematical Society, 2002.
Pierre Colmez and J.P. Serre (eds.), Grothendieck-Serre Correspondence: Bilingual Edition, American Mathematical Society, 2004. Review
Gina Kolata, The New York Times Book of Mathematics: More Than 100 Years of Writing by the Numbers, Sterling, 2013. Review
Dana Mackenzie and Barry Cipra, What's Happening in the Mathematical Sciences, vol. 6, American Mathematical Society, 2006.
Dana Mackenzie, What's Happening in the Mathematical Sciences, vol. 7, American Mathematical Society, 2009.
——— , What's Happening in the Mathematical Sciences, vol. 8, American Mathematical Society, 2011.
——— , What's Happening in the Mathematical Sciences, vol. 9, American Mathematical Society, 2013.
Yuri I. Manin, Mathematics as Metaphor: Selected Essays of Yuri I. Manin, American Mathematical Society, 2008.
——— , The Best Writing on Mathematics 2011, Princeton University Press, 2011.
——— , The Best Writing on Mathematics 2012, Princeton University Press, 2012.
——— , The Best Writing on Mathematics 2013, Princeton University Press, 2013.
Terence Tao, Structure and Randomness: Pages from Year One of a Mathematical Blog, American Mathematical Society, 2009. Review, Review
——— , Poincare's Legacies: Pages from Year Two of a Mathematical Blog Pt. 1, American Mathematical Society, 2009.
——— , Poincare's Legacies: Pages from Year Two of a Mathematical Blog Pt. 2, American Mathematical Society, 2009.
——— , An Epsilon of Room, I: Real Analysis: Papers from Year Three of a Mathematical Blog, American Mathematical Society, 2011.
——— , An Epsilon of Room, II: 2: Papers from Year Three of a Mathematical Blog, American Mathematical Society, 2011. Review
——— , Compactness and Contradiction, American Mathematical Society, 2013.
Stanisław Ulam, The Scottish Book, publ. by Los Alamos, N.M. : S. Ulam, 1957. Ebook
William Frucht (ed.), Imaginary Numbers: An Anthology of Marvellous Mathematical Stories, Diversions, Poems and Musings, John Wiley & Sons,1999. Review
Dora Musielak, Sophie's Diary: A Historical Fiction, AuthorHouse, 2004.
Chris Pearson, Proof of Death, published on Kindle via Amazon Media EU S.à r.l., 2012.
History of mathematics (including historical reprints)
Amir D. Aczel, The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity, Washington Square Press, paperback edition, 2001.
William J. Adams, The Life and Times of the Central Limit Theorem, 2nd edition , American Mathematical Society, 2010. Review
Marlow Anderson, Victor Katz and Robin Wilson (eds.), Sherlock Holmes in Babylon and Other Tales of Mathematical History, The Mathematical Association of America, 2004. Review, Review
——— , ——— and ——— (eds.), Who Gave you the Epsilon? & Other Tales of Mathematical History, The Mathematical Association of America, 2004. Review
Petr Beckmann, A History of Pi, 3rd ed., Saint Martin's Press Inc., 1976.
Janet Beery and Jacqueline Stedall (eds.), Thomas Harriot's Doctrine of Triangular Numbers: The Magisteria Magna, European Mathematics Society, 2008. Review
William Berlinghoff and Fernando Gouvêa, Math through the Ages: A Gentle History for Teachers and Others, Oxton House Publishers, 2002. Review
William Burnside, Theory of Groups of Finite Order, Cambridge University Press, reprint edition, 2012.
Oliver Byrne, Byrne, Six Books of Euclid: Facsimile of the famous first edition of 1847, Taschen, 2010. Review
Florian Cajori, A History of Mathematical Notations, Dover Publications Inc. edition, 1994.
Bruce Chandler and Wilhelm Magnus, The History of Combinatorial Group Theory: A Case Study in the History of Ideas, Springer, 1982
William Chauvanet, Binomial Theorem and Logarithms, BiblioBazaar, 2008.
Brian Clegg, Brief History of Infinity: The Quest to Think the Unthinkable, Robinson Publishing, 2003. Review
B. Jack Copeland, Carl J. Posy and Oron Shagrir (eds.) Computability: Turing, Godel, Church, and Beyond: Turing, Gödel, Church, and Beyond, MIT Press, 2013.
Alex D.D. Craik, Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century, Springer, London 2007. Review
Alan Cromer, Uncommon Sense: The Heretical Nature of Science, Oxford University Press, 1995.
Michael J. Crowe, A History of Vector Analysis: The Evolution of the Idea of a Vectorial System, Dover 2003.
Olivier Darrigol, Worlds of Flow: A history of hydrodynamics from the Bernoullis to Prandtl, Oxford Univ. Press 2005. Review
Joseph W. Dauben and Christoph J. Scriba (eds.), Writing the History of Mathematics - Its Historical Development, Birkhauser, 2002. Review
Martin Davis, The Universal Computer: The Road from Leibniz to Turing, W. W. Norton, 2000. Review
John Derbyshire, Unknown Quantity: A Real and Imaginary History of Algebra, Plume Books, 2007. Review
Keith Devlin, The Unfinished Game: Pascal, Fermat, and the Seventeenth-Century Letter That Made the World Modern, Basic Books, 2010. Review
——— , The Man of Numbers: Fibonacci's Arithmetic Revolution , Bloomsbury Paperbacks, 2012. Review
——— , The Calculus Gallery: Masterpieces from Newton to Lebesgue, Princeton University Press, 2008. Review
A.W.F. Edwards, Pascal's Arithmetical Triangle: The Story of a Mathematical Idea, Johns Hopkins University Press, 2002.  Review
John Fauvel, Raymond Flood and Robin Wilson, (eds.), Oxford Figures: 800 Years of the Mathematical Sciences, Oxford University Press, 2000.  Review
Ivor Grattan-Guinness, Routes of Learning: Highways, Pathways, and Byways in the History of Mathematics, The Johns Hopkins University Press, 2009. Review
José Ferreirós and Jeremy Gray, The Architecture of Modern Mathematics: Essays in History and Philosophy, Oxford University Press, 2006. 
J.V. Field and Jeremy Gray, The Geometrical Work of Girard Desargues, Springer-Verlag, New York, 1987.
——— , The Invention of Infinity: Mathematics and Art in the Renaissance, Oxford University Press, 1997. Review
Enrique A. González-Velasco, Journey through Mathematics: Creative Episodes in Its History, Springer, 2011.
Jeremy J. Gray, The Hilbert Challenge: A Perspective on Twentieth Century Mathematics, Oxford University Press, 2000. Review, Review
——— , Janos Bolyai, Non-Euclidean Geometry, and the Nature of Space, MIT Press, 2004. Review, Review
——— , Plato's Ghost: The Modernist Transformation of Mathematics, Princeton University Press, 2008. Review, Review, Review
Thomas Hawkins, Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926, Springer-Verlag, New York, 2000. Review
Arie Hinkis, Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion, Birkhäuser; 2013. Review
Ioan James, Driven to Innovate: A Century of Jewish Mathematicians and Physicists: A Century of Mathematicians and Physicists, Peter Lang 2009. Review
Ellen Kaplan and Robert Kaplan, Hidden Harmonies: The Lives and Times of the Pythagorean Theorem , Bloomsbury Press, 2011. Review
——— , Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, Princeton University Press, 2007.  Review
——— , Mathematical Thought from Ancient to Modern Times: Vol 1, Oxford University Press, 1990 re-edition, also Vol 2 and Vol 3.
Edna Ernestine Kramer, The Nature and Growth of Modern Mathematics, Princeton University Press, 1983.
Richard Laubenbacher and D. Pengelley, Mathematical Expeditions: Chronicles by the Explorers, Springer New York, 2000.  Review
Olli Lehto, Mathematics Without Borders: A History of the International Mathematical Union, Springer, 1998. Review
Detlef Laugwitz (transl. Abe Shenitzer), Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics, Birkhäuser, paperback edition 2010. Review, Review
Steve Nadis and Shing-tung Yau, A History in Sum: 150 Years of Mathematics at Harvard (1825-1975), Harvard University Press, 2013.
Reviel Netz (editor and translator), The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder: Translation and Commentary, Cambridge University Press, 2004. Review (1.8MB)
Paul C. Pasles, Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey, Princeton University Press, 2007. Review
Peter Roquette, The Brauer-Hasse-Noether Theorem in Historical Perspective, Springer, 2004.  Review
Walter William Rouse Ball, A History of the Study of Mathematics at Cambridge , Cambridge University Press, 2009 facsimile reprint. Review
C. Edward Sandifer, How Euler Did It, The Mathematical Association of America, 2007.
Winfried Scherlau and Hans Opolka (transl. W.K. Bühler and G. Cornell) From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development, Springer-Verlag, New York, 2010.  Review
Muriel Seltman and Robert Goulding (eds.), Thomas Harriot's Artis Analyticae Praxis: An English Translation with Commentary, Springer Verlag, 2007. Review
Jacqueline A. Stedall, The Arithmetic of Infinitesimals: John Wallis 1656, Springer, 2004.  Review
——— , From Cardano's Great Art to Lagrange's Reflections: Filling a Gap in the History of Algebra, European Mathematical Society, 2011.
——— , The History of Mathematics: A Very Short Introduction, Oxford University Press, 2012. Review, Review
John Stillwell, Mathematics and Its History, 3rd edition, Springer, 2010.
Dirk J. Struik, A Concise History of Mathematics, Fourth Revised Edition], Dover Publications, 1987. Review
Frank J. Swetz, Mathematical Expeditions: Exploring Word Problems across the Ages, The Johns Hopkins University Press, 2012. Review
——— , Poor Robin's Prophecies: A curious Almanac, and the everyday mathematics of Georgian Britain, Oxford University Press, 2012.
——— and John J. Watkins (eds.), Combinatorics: Ancient & Modern, OUP, 2013.
Links to Review or to Obituary often provide a first rate summary of the subject's life and achievements.
Collections of biographies appear separately under The Profession of Mathematics.
[Abel, Niels Henrik] Arild Stubhaug (translated R. Daly), Niels Henrik Abel and his Times: Called Too Soon by Flames Afar, Springer-Verlag, Berlin, 2000. Review
[Albert, Abraham Adrian] Nancy E. Albert, A3 & His Algebra: How a Boy from Chicago's West Side Became a Force in American Mathematics, iUniverse, Inc., 2005. Review
[Babbage, Charles] Doron Swade, The Cogwheel Brain: Charles Babbage and the quest to build the first computer, Little, Brown and Company, 2000. Review
[Banach, Stefan] Emilia Jakimowicz and Adam Miranowicz (eds.), Stefan Banach: Remarkable Life, Brilliant Mathematics, American Mathematical Society, 3rd edition, 2011.
[Banach, Stefan] Roman Kaluza (transl. A. Kostant and Wojbor A. Woyczynski), Through a Reporter's Eyes: The Life of Stefan Banach, Birkhauser, 2005.
[Bourbaki, Nicholas] Amir D. Aczel, The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed..., High Stakes Publishing, 2007. Review, Review
[Georg Cantor] Amir D. Aczel, The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity, Washington Square Press, paperback edition, 2001.
[Cayley, Arthur] Tony Crilly, Arthur Cayley: Mathematician Laureate of the Victorian Age , John Hopkins University Press, 2006. Review, Review
[Clifford, William and Lucy] M. Chisholm, Such Silver Currents: The Story of William and Lucy Clifford, 1845-1929 , Lutterworth Press, 2002. Review
[Coxeter, Donald] Siobhan Roberts, King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry, Profile Books Ltd, 2007. Review, Review
[Dee, John] Benjamin Wooley, The Queen's Conjuror: The Science and Magic of Dr. Dee, Flamingo, new edition 2002. Review
[Erdős, Paul] Paul Hoffman, The Man Who Loved Only Numbers: the Story of Paul Erdős and the Search for Mathematical Truth, Fourth Estate, new edition 1999. Review
[Erdős, Paul] Bruce Schechter, My Brain is Open: The Mathematical Journeys of Paul Erdős, Touchstone, 2000. Review
[Kovalevskaia, Sofia] Ann Hibner Köblitz, A Convergence of Lives: Sofia Kovalevskaia: Scientist, Writer, Revolutionary, Rutgers University Press, reprint edition 1993.
[Lie, Sophus] Arild Stubhaug (translated R. Daly), The Mathematician Sophus Lie: It was the Audacity of My Thinking, Springer, paperback edition 2010. Review
[Mosteller, Charles Frederick] Frederick Mosteller, The Pleasures of Statistics: The Autobiography of Frederick Mosteller, Springer, 2010. Review
[Ramanujan, Srivivasa] Robert Kanigel, The Man Who Knew Infinity: a Life of the Genius Ramanujan, Abacus, new edition 1992.
[Smale, Stephen] Steve Batterson, Stephen Smale: The Mathematician Who Broke the Dimension Barrier, AMS, 2000. Review
[Sylvester, James Joseph] Karen H. Parshall, James Joseph Sylvester: Jewish Mathematician in a Victorian World, The Johns Hopkins University Press, 2006.  Review
[Turing, Alan Mathison] David Leavitt, The Man Who Knew Too Much: Alan Turing and the Invention of the Computer, W. W. Norton 2005. Review, Review
[Volterra, Vito] Judith R. Goodstein, The Volterra Chronicles: The Life and Times of an Extraordinary Mathematician 1860-1940, American Mathematical Society, 2007. Review (2.8MB)
[Wiener, Norbert] Flo Conway and Jim Siegelman, Dark Hero of the Information Age: In Search of Norbert Wiener - Father of Cybernetics, Basic Books, 2005. Review
The profession of mathematics
Amir D. Aczel, A Strange Wilderness: The Lives of the Great Mathematicians, Sterling, 2011. Review
——— and ———, Fascinating Mathematical People: Interviews and Memoirs, Princeton University Press, 2011. Review
E. Bell, Men of Mathematics, Simon & Schuster Inc, 1986.
William Byers, How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics, Princeton University Press, 2007. Review
Alexandre V. Borovik, Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice, American Mathematical Society, 2010. Review, Review
Richard Courant and Herbert Robbins, revised by Ian Stewart, What is Mathematics?: An Elementary Approach to Ideas and Methods, Oxford University Press Inc, 2nd Revised, 1996. Review
Paul R. Halmos, I Want to Be a Mathematician: An Automathography, Springer, New York, 1985.
Reuben Hersh and Vera John-Steiner, Loving and Hating Mathematics: Challenging the Myths of Mathematical Life, Princeton University Press, 2010. Review, Review
Nicolas Higham, Handbook of Writing for the Mathematical Sciences, Society for Industrial and Applied Mathematics; 2 edition, 1998.
Ioan James, Remarkable Mathematicians: From Euler to von Neumann, Cambridge University Press, 2003. Review, Review
Donald E. Knuth, Tracy Larrabee and Paul M. Roberts, Mathematical Writing, The Mathematical Association of America, 1996.
——— , Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical, The Mathematical Association of America, 2002. Review, Review
——— ,A Mathematician's Survival Guide: Graduate School and Early Career Development, American Mathematical Society, 2003. Review
——— , Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical, The Mathematical Association of America, 2006. Review
——— , The Proof is in the Pudding: The Changing Nature of Mathematical Proof, Springer, 2011.
Charlene Morrow and Teri Perl (eds.), Notable Women in Mathematics: A Biographical Dictionary, Greenwood Press, 1998. Review
Luetta Reimer and Wilbert Reimer, Mathematicians are People Too: Stories from the Lives of Great Mathematicians, vol. 1, and Vol 2, Seymour (Dale) Publications, 1998. Review
Joel Segel (editor), Recountings: Conversations with MIT Mathematicians, A K Peters/CRC Press, 2009. Review
Norbert Wiener, I Am a Mathematician, Victor Gollanz, London, 1956.
Robin V. Young (ed.), Notable Mathematicians from Ancient Times to the Present, Gale, 1998.
Psychology, Sociology, Philosophy
Robyn Arianrhod, Einstein's Heroes: Imagining the World Through the Language of Mathematics, Icon Books, 2004. Review
Marcia Ascher, Mathematics Elsewhere: An Exploration of Ideas Across Cultures, Princeton University Press, 2002. Review
Ehrhard Behrends, Nuno Crato and José Francisco Rodrigues (Editors), Raising Public Awareness of Mathematics, Springer, 2012
James Robert Brown, Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, Routledge, 2nd edition, 2008. Review
Stephen Ceci and Wendy Williams, The Mathematics of Sex: How Biology and Society Conspire to Limit Talented Women and Girls, Oxford University Press, 2009.
Jean-Pierre Changeux and Alain Connes, Conversations on Mind, Matter, and Mathematics, Princeton University Press, 1998. Transl. by Malcolm DeBevoise.
Michael Suk-Young Chwe, Jane Austen, Game Theorist, Princeton University Press, 2013.
B. Jack Copeland, Carl J. Posy and Oron Shagrir (eds.) Computability: Turing, Godel, Church, and Beyond: Turing, Gödel, Church, and Beyond, MIT Press, 2013.
E. Brian Davis, Why Beliefs Matter: Reflections on the Nature of Science , Oxford University Press, 2010. Review
Stanislas Dehaene, The Number Sense: How the Mind Creates Mathematics, revised edition, Oxford University Press, USA, 2011. Review
Keith Devlin, The Maths Gene: Why Everyone Has It, But Most People Don't Use It, Phoenix, new edition 2001. Review, Review, Review
A. K. Dewdney, A Mathematical Mystery Tour: Discovering the Truth and Beauty of the Cosmos, John Wiley & Sons, 1999. Review
Apostolos Doxiadis and Barry Mazur, Circles Disturbed: The Interplay of Mathematics and Narrative, Princeton University Press, 2012. Review
Bonnie Gold and Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy, Mathematical Association of America, 2008. Review
Jacques Hadamard, The Mathematician's Mind: The Psychology of Invention in the Mathematical Field, Princeton University Press; Reprint edition, 1996. Review
John Horgan, The End of Science: Facing the Limits of Knowledge in the Twilight of the Scientific Age, Helix Books, 1996. Review
Imre Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, edited by Worrall and Zahar, Cambridge University Press, 1976. 
George Lakoff and Rafael E. Núñez, Where Mathematics Comes from: How the Embodied Mind Brings Mathematics into Being, Basic Books, 2000. Review, Review
Margaret A. M. Murray, Women Becoming Mathematicians: Creating a Professional Identity in Post-world War II America, MIT Press, 2000. Review
Roland Omnès, Converging Realities: Toward a Common Philosophy of Physics and Mathematics, Princeton University Press, 2004. Review
John Allen Paulos, Mathematics and Humour, University of Chigago Press, 1990.
Roger Penrose, The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics, Oxford Paperbacks; New Ed, 1999. Review
——— , Shadows of the Mind: A Search for the Missing Science of Consciousness, Vintage, 1995. Review, Review, Review, Rebuttals
Valerie Walkerdine, Counting Girls Out: Girls and Mathematics, Routledge, 2nd edition, 1998.
Mathematical mountains: popular accounts of landmark problems/solutions
Amir D. Aczel, Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, paperback edition, Thunder's Mouth Press, 2007. Review
John Derbyshire, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume Books, 2004. Review
Keith Devlin, The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time, Basic Books, 2002. Review, Review
Underwood Dudley, The Trisectors, 2nd edition, Mathematical Association of America, 1996.
Lance Fortnow, The Golden Ticket: P, NP, and the Search for the Impossible, Princeton University Press, 2013. Review, Review, Review
Mario Livio, The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry, Souvenir Press Ltd, new edition, 2007. Review, Review
Piergiorgio Odifreddi, The Mathematical Century: The 30 Greatest Problems of the Last 100 Years, transl. Arturo Sangalli, Princeton University Press, (new edition) 2006. Review
Donal O’Shea, The Poincaré Conjecture: In Search of the Shape of the Universe , Walker, 2007. Review (2.8MB), Review
Peter Pesic, Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability, MIT Press, 2003. Review
Mark Ronan, Symmetry and the Monster: One of the Greatest Quests of Mathematics, Oxford University Press, 2006.  Review, Review, Review
George Szpiro, Kepler's Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World, John Wiley & Sons, 2003.  Review, Review
——— , Poincare's Prize: The Hundred-year Quest to Solve One of Math's Greatest Puzzles , Dutton/Signet, 2007. Review (2.8MB)
Robin Wilson, Four Colors Suffice: How the Map Problem Was Solved (Revised Color Edition), Princeton University Press, 2013.  Review, Review, Review
Benjamin H. Yandell, The Honors Class: Hilbert's Problems and Their Solvers, AK Peters, 2001. Review, Review
Introductions to mathematical topics accessible for non-professionals
Amir D. Aczel, Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe, Broadway Books, paperback edition, Jan 2007.
Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, American Mathematical Society, 2004.  Review
———, Elliptic Tales: Curves, Counting, and Number Theory, Princeton University Press, 2012.
Tomaso Aste and Denis Weaire, The Pursuit of Perfect Packing, Second Edition, CRC Press, 2008.
V.K. Balakrishnan, Graph Theory: Including Hundreds of Solved Problems (Schaum), McGraw-Hill Publishing Co., 1997.
Robert B. Banks, Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics, Princeton University Press, new edition 2013. Review
Ehrhard Behrends (transl. D. Kramer), Five-Minute Mathematics, American Mathematical Society, 2008.
John Bryant and Chris Sangwin, How Round Is Your Circle?: Where Engineering and Mathematics Meet, Princeton University Press, 2011. Review
Edward B. Burger and Michael Starbird, The Heart of Mathematics: An Invitation to Effective Thinking, Key College Publishing; 2nd revised edition, 2004.
John L Casti, Five Golden Rules: Great Theories of 20th Century Mathematics and Why They Matter, John Wiley, 1997. 
William J. Cook, In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, Princeton University Press, 2012. Review, Review, Review
Keith Devlin, The Language of Mathematics: Making the Invisible Visible, W.H.Freeman & Co Ltd, 2000. Review
Heinrich Dörrie (transl. D. Antin), One Hundred Great Problems of Elementary Mathematics: Their History and Solution, Dover, reprint edition, 1965.
Underwood Dudley, Mathematical Cranks, The Mathematical Association of America, 1996.
William Dunham, Journey Through Genius: Great Theorems of Mathematics, John Wiley & Sons, 1990. 
——— , The Genius of Euler: Reflections on His Life and Work , The Mathematical Association of America, 2007.  Review
Richard Elwes, How to Build a Brain: And 34 Other Really Interesting Uses of Mathematics, Quercus Publishing Plc, 2011. Review
Hans Magnus Enzensberger (transl. Michael Henry Heim), The Number Devil: A Mathematical Adventure, Granta Books, 2008.
Paulus Gerdes, Geometry from Africa. Mathematical and educational explorations, The Mathematical Association of America, 1999. Review
Rebecca Goldstein, Incompleteness: The Proof and Paradox of Kurt Godel, W. W. Norton & Company, 2005. Review, Review
———, Nonplussed: Mathematical Proof of Implausible Ideas, Princeton University Press, 2007. Review, Review
———, The Irrationals: A Story of the Numbers You Can't Count On, Princeton University Press, 2012. Review
———, Nets, Puzzles, and Postmen: An exploration of mathematical connections, Oxford University Press, 2009. Review
Peter Hilton, Derek Holton, and Jean Pedersen, Mathematical Vistas: From a Room with Many Windows, Springer-Verlag, New York, 2002. Review
——— and Jean Pedersen, with illustrations by Sylvie Donmoyer, A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics, Cambridge University Press, 2010. Review, Review
Ross Honsberger, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Mathematical Association of America, 1996. [55, 84]
H.E. Huntley, The Divine Proportion: A Study in Mathematical Beauty, Dover Publications, 1970. 
Dan Kalman, Uncommon Mathematical Excursions: Polynomia and Related Realms, The Mathematical Association of America, 2009.
Richard J. Lipton, The P=NP Question and Gödel's Lost Letter, Springer, New York, 2010.
Mario Livio, The Golden Ratio: The Story of Phi, the Extraordinary Number of Nature, Art and Beauty, Headline Review, new edition 2003. Review, Review
Dana Mackenzie, The Universe in Zero Words: The Story of Mathematics as Told through Equations, Princeton University Press, 2012. Review, Review
Barry Mazur, Imagining Numbers: (Particularly the Square Root of Minus Fifteen), Farrar, Straus and Giroux, 2003. Review
T.S. Michael, How to Guard an Art Gallery and Other Discrete Mathematical Adventures, The Johns Hopkins University Press, 2009. Review
Paul J. Nahin, Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills, Princeton University Press, 2006.  Review, Review, Review
John Allen Paulos, A Mathematician Reads the Newspaper: Making Sense of the Numbers in the Headlines, Basic Books, 1999. Review
———, A Mathematician Plays the Market, Penguin, 2004.
Roger Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe, Vintage, 2005. [37, 121] Review
Cliff Pickover, The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics, Sterling, 2009.
Alfred S. Posamentier and Ingmar Lehmann, Pi: A Biography of the World's Most Mysterious Number, Prometheus, 2004.
———, The Fabulous Fibonacci Numbers, Prometheus, 2007.
Alfred S. Posamentier, The Pythagorean Theorem: The Story of Its Power and Beauty, Prometheus, 2010.
William Poundstone, Prisoner's Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bomb, Anchor Booksn 1993. Review
George Pólya, How to Solve it: A New Aspect of Mathematical Method, Penguin, new edition 1990. Review
Constance Reid, From Zero to Infinity: What Makes Numbers Interesting, A K Peters/CRC Press; 5th revised edition, 2006. Review, Review
David S. Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, Princeton University Press, 2008. Review
Anne Rooney, 50 Amazing Things Kids Need to Know About Mathematics, Quercus Publishing Plc, 2011. Review
Lionel Salem, Frederic Testard and Coralie Salem, The Most Beautiful Mathematical Formulas: An Entertaining Look at the Most Insightful, Useful and Quirky Theorems of All Time, John Wiley & Sons, 1997.
Simon Singh, The Simpsons and Their Mathematical Secrets, Bloomsbury Publishing, 2013.
Raymond Smullyan, To Mock a Mockingbird: and Other Logic Puzzles, Oxford Paperback edition, 2000.
———, What is the Name of This Book?: The Riddle of Dracula and Other Logical Puzzles, Dover Publications Inc., unabridged edition, 2011.
Sherman Stein, How the Other Half Thinks: Adventures in Mathematical Reasoning, McGraw-Hill, 2001. Review
Hugo Steinhaus, One Hundred Problems in Elementary Mathematics, Dover Publications, 1990.
Ian Stewart, Does God Play Dice?: The New Mathematics of Chaos, 2nd edition, Penguin, 1997.
——— , Symmetry: A Very Short Introduction, Oxford University Press, 2013.
John Stillwell, Roads to Infinity: The Mathematics of Truth and Proof, AK Peters, 2010. Review
Steven Strogatz, The Joy of X: A Guided Tour of Math, from One to Infinity, Eamon Dolan/Houghton Mifflin Harcourt, 2012. Review
Terence Tao, Solving Mathematical Problems: A Personal Perspective, Oxford University Press, 2nd edition 2006. Review, Review
Matthew Watkins, The Mystery of the Prime Numbers: Secrets of Creation v. 1, The Inamorata Press, 2010. Review
——— , The Enigma of the Spiral Waves: Secrets of Creation v. 2, The Inamorata Press, 2011.
David Wells, You Are a Mathematician, Penguin, London, 1995.
——— , Prime Numbers: The Most Mysterious Figures in Math, John Wiley & Sons Inc, 1995. 
Michael Willers, The Joy of X: How Algebra Shapes Your Daily Life, Chambers, 2009.
Robert, M. Young, Excursions in Calculus: An Interplay of the Continuous and the Discrete, Mathematical Association of America, 1996. 
More specialised introductions to mathematical topics
M. Ya. Antimirov, A. A. Kolyshkin and Rémi Vaillancourt, Complex Variables, Academic Press, San Diego, 1998.
David Applebaum, Limits, Limits Everywhere: The Tools of Mathematical Analysis , Oxford University Press, 2012. Review
David L. Applegate, Robert E. Bixby, Vašek Chvátal and William J. Cook, The Traveling Salesman Problem: A Computational Study, Princeton University Press, 2006.  Review
Jörg Arndt and Christoph Haenel (translated, C. Lischka and D. Lischka), Pi - Unleashed , Springer, 2000.
Arthur T. Benjamin and Jennifer J. Quinn, Proofs that Really Count: The Art of Combinatorial Proof, The Mathematical Association of America, 2003.  Review
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