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Bibliography
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 (or to notes page entries).
Clicking on the book names will take you to amazon.co.uk where you will find more detailed bibliographic information, customer reviews and, for newer books, their excellent 'Look inside' facility.
As an Amazon Associate, I earn from qualifying purchases, meaning that 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!
(As a matter of policy, paywalled reviews are not included. However paywalling sometimes happens retrospectively and where there is a danger of this a $ is appended, thus Review$.)
Reviews are mostly from: the cut-the-knot; the European Mathematical Society; the Notices of the American Mathematical Society, (who also do a great round-up of reviews elsewhere), 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. Compilations elsewhere include this by Math Blog.
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
Fiction
History of mathematics (including historical reprints)
Biography
The profession and practice of mathematics
Women in mathematics
Philosophy, Psychology, Sociology
Mathematics and the Arts
Mathematical mountains: popular accounts of landmark problems/solutions
Popular writing
Textbooks
Monographs
Mathematical applications
Other bibliographies, bibliographic sources
(You may actually be one of the books in the 'Research level' category: David Savitt lets you find out here.)
Another great source of reading, in many languages, can be found in our list of free online mathematics magazines.
Collections, Dictionaries, Encyclopedias
Collections of work by, or tributes to, named mathematians are listed under Biography.
Andrei, A. Bolibruch, Yury S. Osipov and Yakov G. Sinai (eds.), Mathematical Events of the Twentieth Century, Springer 2005. Review
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.
Timothy Gowers (ed.), June Barrow-Green & Imre Leader (assoc. eds.), The Princeton Companion to Mathematics, Princeton University Press, 2008. [74] Website, Review, Review, Review, Review
Bogdan Grechuk, Theorems of the 21st Century: Volume I, Springer, 2019. Review
——— , Landscape of 21st Century Mathematics: Selected Advances, 2001–2020, Springer, 2022.
Deanna Haunsperger and Stephen Kennedy (eds.), The Edge of the Universe: Celebrating Ten Years of Math Horizons, Mathematical Association of America, 2006. [248] Review
Michiel Hazewinkel, Encyclopaedia Of Mathematics, Supplement III, Springer, 2002. [221]
Nicholas J Higham, The Princeton Companion to Applied Mathematics, Princeton University Press, 2015. Review, Review, Review, Review
Helge Holden and Ragni Piene (eds.), The Abel Prize 2003–2007: The First Five Years, Springer, 2010. Review
——— and ——— (eds.), The Abel Prize 2008-2012, Springer, 2014. Review
——— and ——— (eds.), The Abel Prize 2013-2017, Springer, 2019. Review, Review (1.1MB)
János Horváth (ed.), A Panorama of Hungarian Mathematics in the Twentieth Century I, Springer, 2005. [99] Review
Gina Kolata (ed.), The New York Times Book of Mathematics: More Than 100 Years of Writing by the Numbers, Sterling, 2013. Review, Review, Review
Harry Lewis (ed.), Ideas That Created the Future: Classic Papers of Computer Science, MIT Press, 2021. Review
Thomas Lin (ed.), The Prime Number Conspiracy: The Biggest Ideas in Math from Quanta, MIT Press, 2018. Review, 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. Review, Review, Review
——— , What's Happening in the Mathematical Sciences, vol. 9, American Mathematical Society, 2013.
——— and Barry Cipra, What's Happening in the Mathematical Sciences, Volume 10, American Mathematical Society, 2015. Review
———, What's Happening in the Mathematical Sciences, Volume 11, American Mathematical Society, 2019. Review
L. C. Parnault, Dimensions in Mathematics, Harvard University Press, 2013.
Mircea Pitici (ed.), The Best Writing on Mathematics 2010, Princeton University Press, 2010. Review, Review
——— , The Best Writing on Mathematics 2011, Princeton University Press, 2011. Review, Review
——— , The Best Writing on Mathematics 2012, Princeton University Press, 2012. Review, Review, Review
——— , The Best Writing on Mathematics 2013, Princeton University Press, 2013. Review, Review
——— , The Best Writing on Mathematics 2014, Princeton University Press, 2014. Review, Review, Review
——— , The Best Writing on Mathematics 2015, Princeton University Press, 2016. Review, Review, Review, Review, Review, Review
——— , The Best Writing on Mathematics 2016, Princeton University Press, 2017. Review, Review, Review
——— , The Best Writing on Mathematics 2017, Princeton University Press, 2018. Review, Review
——— , The Best Writing on Mathematics 2018, Princeton University Press, 2018. Review, Review, Review
——— , The Best Writing on Mathematics 2019, Princeton University Press, 2019. Review, Review
——— , The Best Writing on Mathematics 2020, Princeton University Press, 2020. Review, Review, Review
——— , The Best Writing on Mathematics 2021, Princeton University Press, 2022. Review
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
Fiction
Alex Kasman has a splendid database of mathematical fiction.
Colin Adams, Riot at the Calc Exam and Other Mathematically Bent Stories, American Mathematical Society, 2009. Review
——— , Lost in the Math Museum: A Survival Story, American Mathematical Society, 2022. Review
Nis Andersson (illust. Oliver Dean), A gentle wizard, Speed of Think Publishing Ltd, 2017. Website
Thodoris Andriopoulos, (illustr. Thanasis Gkiokas, transl. Phil Holland), Who Killed Professor X?, Birkhäuser, 2015. Review, Review
Michèle Audin, La formule de Stokes, roman, Cassini, 2016.
Mark Blacklock, Hinton, Granta Publications Ltd, 2020. Review, Review
Carlos Bueno (illustr. Miran Lipovača), Lauren Ipsum: A Story About Computer Science and Other Improbable Things, No Starch Press, paperback edition 2014. Review, Review, Review
Ethan Canin, A Doubter's Almanac, Bloomsbury Paperbacks, 2017. Review, Review, Review, Review, Review, Review
Catherine Chung, The Tenth Muse, Little Brown, 2019. Review, Review
Arthur C. Clarke and Frederik Pohl, The Last Theorem, HarperVoyager, 2008. Webpage, Review, Review
Elle Cosimano, Nearly Gone, Penguin India, 2015. Review, Review, Review
Chandler Davis, Marjorie Senechal and Jan Zwicky (eds.), The Shape of Content: Creative Writing in Mathematics and Science, A K Peters/CRC Press, 2008.
Gary Ernest Davis, Coffee, Love and Matrix Algebra, Republic of Mathematics, 2014. Review, Review, Review
Apostolos Doxiadis, Uncle Petros and Goldbach's Conjecture, Faber and Faber; new edition 2001. Webpage, Review, Review, Review
——— and C.H. Papadimitriou, (illustr. A. Papadatos and A. Di Donna), Logicomix: An Epic Search for Truth, Bloomsbury, 2009. Review, Review (1.5MB), Review, Review
Ivar Ekeland, The Cat in Numberland, Cricket Books, 2006. Review, Review, Review
Hans Magnus Enzensberger, The Number Devil: A Mathematical Adventure, Metropolitan Books, 1998. Review, Review
Clifton Fadiman, Fantasia Mathematica, Springer-Verlag New York Inc., new ed. 1997. Review
——— , The Mathematical Magpie, Springer-Verlag New York Inc., new ed. 1997. Review
Andy Field, An Adventure in Statistics: The Reality Enigma, SAGE Publications Ltd, 2016. Review, Review
William Frucht (ed.), Imaginary Numbers: An Anthology of Marvellous Mathematical Stories, Diversions, Poems and Musings
Rebecca Goldstein, The Mind-Body Problem, Penguin reprint, 1993. Review, Review, Review, Review, Review
Denis Guedj, The Parrot's Theorem
Mark Haddon, The Curious Incident of the Dog in the Night-time, Vintage, 2004. Webpage, Review, Review, Review, Review, Review
Matt Haig, The Humans
Fred Hoyle, The Black Cloud, Penguin Classics edition, 2010. Webpage, Review, Review, Review, Review
Alex Kasman, Reality Conditions: Short Mathematical Fiction, Mathematical Association of America, 2005. Review
Jeffrey Kegler, The God Proof, CreateSpace Independent Publishing, 2007.
Donald E. Knuth, Surreal Numbers, Addison Wesley, 1974.
Benjamín Labatut (transl. Adrian Nathan West), When We Cease to Understand the World, Pushkin Press, 2021. Review, Review, Review, Review, Review, Review
David Lagercrantz (translated by George Goulding), Fall of Man in Wilmslow, MacLehose Press, 2015. Review, Review
David Leavitt, The Indian Clerk, Bloomsbury, 2007. Review
Guillermo Martinez, The Oxford Murders, Abacus, 2006 (originally Crímenes Imperceptibles, Premio Planeta Argentina, 2003). Review, Review
Cormac McCarthy, Stella Maris, Picador, 2023. Review, Review
Annabel Monaghan, A Girl Named Digit, Graphia Books, 2013. Review, Review
——— , Double Digit, Houghton Mifflin Books for Children, 2014. Review
Neel Mukherjee, The Lives of Others
Dora Musielak, Sophie's Diary: A Historical Fiction, AuthorHouse, 2004. Review (13.5MB)
Yoko Ogawa, The Housekeeper and the Professor, Harvill Secker, 2009 (transl. from Japanese by Stephen Snyder). Review, Review, Review, Review
Chris Pearson, Proof of Death, published on Kindle via Amazon Media EU S.à r.l., 2012.
Tom Petsinis, The French Mathematician, Penguin Books Ltd, 1998. Review, Review
Philibert Schogt, The Wild Numbers, Four Walls Eight Windows, 2000. Review
Gaurav Suri and Hartosh Singh Bal , A Certain Ambiguity: A Mathematical Novel, Princeton University Press, 2010. Review
Marta Sved, Journey into Geometries, The Mathematical Association of America, 1997. Review
Miriam Sved, A Universe of Sufficient Size, Picador Australia, 2019. Review
Jill Paton Walsh, A Piece of Justice
X and Y, Congruent Triangles, independently published, 2022.
Hiroshi Yuki (transl. Tony Gonzalez), Math Girls, Bento Books, Inc, 2011. Review
——— (transl. ———), Math Girls2: Fermat's Last Theorem, Bento Books, Inc, 2012. Review
Philippe Zaouati, Les refus de Grigori Perelman, Pippa Editions, 2017.
History of mathematics (including historical reprints)
Biographies are listed elsewhere. An excellent source of serious information and reviews for books on history of mathematics (and science generally) from antiquity up to the early modern period is Aestimatio by The Institute for Research in Classical Philosophy and Science.
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. [8] Review
Amir Alexander, Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World, Oneworld Publications, 2014. [220] Review, Review, Review, 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
——— , ——— and ——— (eds.), Who Gave you the Epsilon? & Other Tales of Mathematical History, The Mathematical Association of America, 2004. Review
Apollonius of Perga (transl. Catesby R. Taliaferro and Michael N. Fried) Conics Books I–IV, Green Lion Press, reprint edition, 2013.
Krzysztof R. Apt, A Brief History of Mathematics for Curious Minds, World Scientific, 2023.
Raymond Clare Archibald, Semicentennial History of the American Mathematical Society, 1888-1938, with Biographies and Bibliographies of the Past Presidents, American Mathematical Society, 1938.
Robyn Arianrhod, Seduced by Logic: Émilie Du Châtelet, Mary Somerville and the Newtonian Revolution, Oxford University Press, 2012. Review, Review, Review, Review, Review
——— , Vector: A Surprising Story of Space, Time, and Mathematical Transformation, University of Chicago Press, 2024. Q&A, Review, Review, Review, Review
David Attis, Mathematics and the Making of Modern Ireland: Trinity College Dublin from Cromwell to the Celtic Tiger, Docent Press, 2014. Review
Évelyne Barbin, Faire des mathématiques avec l'histoire au lycée, Ellipses, 2019.
Jason S. Bardi, The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time, Avalon Group, 2006. Review
Oswald Baumgart (transl. Franz Lemmermeyer), The Quadratic Reciprocity Law: A Collection of Classical Proofs, Birkhäuser Basel, 2015. [29] Review
Petr Beckmann, A History of Pi, Saint Martin's Press Inc., 3rd edition, 1976.
Philip Beeley, Yelda Nasifoglu and Benjamin Wardhaugh (eds.), Reading Mathematics in Early Modern Europe: Studies in the Production, Collection, and Use of Mathematical Books, Routledge, 2020. Review
Janet Beery and Jacqueline Stedall (eds.), Thomas Harriot's Doctrine of Triangular Numbers: The Magisteria Magna, European Mathematics Society, 2008. Review
David R. Bellhouse, Abraham De Moivre: Setting the Stage for Classical Probability and Its Applications, A K Peters/CRC Press, 2011. Review, Review
J. Lennart Berggren, Jonathan M. Borwein and Peter B. Borwein, PI: A Source Book, 3rd edition, Springer-Verlag, New York, 2004. [102, 216]
William Berlinghoff and Fernando Gouvêa, Math through the Ages: A Gentle History for Teachers and Others, Oxton House Publishers, 2002. Review
Peter L. Bernstein, Against the Gods: The Remarkable Story of Risk, John Wiley and Sons, New York, 1996. Review
Colin Beveridge, Cracking Mathematics: You, this book and 4,000 years of theories, Cassell, 2016. Review
Norman L. Biggs, Quite Right: The Story of Mathematics, Measurement, and Money, Oxford University Press, 2016. Review
——— , E. Keith Lloyd and Robin J. Wilson, Graph Theory, 1736-1936, Clarendon Press, 1986. [50, 62, 189] Review
Umberto Bottazzini, The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass, Springer, 1986. Review
——— and Jeremy Gray, Hidden Harmony Geometric Fantasies: The Rise of Complex Function Theory, Springer, 2013. 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.
Florian Cajori, A History of Mathematical Notations, Dover Publications Inc. edition, 1994. Review (1928/29 edition), Review
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.
Karine Chemla, José Ferreirós, Lizhen Ji, Erhard Scholz, Chang Wang (eds.),The Richness of the History of Mathematics: A Tribute to Jeremy Gray, Springer, 2023.
Stephen Chrisomalis, Numerical Notation: A Comparative History, Cambridge University Press, 2010. Review
Brian Clegg, Brief History of Infinity: The Quest to Think the Unthinkable, Robinson Publishing, 2003. Review, Review, Review
Roger Cooke, The Mathematics of Sonya Kovalevskaya, Springer, reprint edition, 2011. Review
Julian Lowell Coolidge, A History of Geometrical Methods, Dover Publications reprint, 2003. Review
B. Jack Copeland, Carl J. Posy and Oron Shagrir (eds.) Computability: Turing, Gödel, Church, and Beyond, MIT Press, 2013. Review
Leo Corry, A Brief History of Numbers, Oxford University Press, 2015. Review, Review
Alex D.D. Craik, Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century, Springer, London 2007.
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. Review
Christopher Cullen, Astronomy and Mathematics in Ancient China: The 'Zhou Bi Suan Jing', Oxford University Press, paperback edition, 2007.
Serafina Cuomo, Ancient Mathematics, Routledge, 2001. [4, 44, 63] Review, Review, Review, Review
Charles W. Curtis, Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, American Mathematical Society, 2000. Review
Tobias Dantzig, Number: The Language of Science, Plume, reprint edition, 2007. Webpage, Review
Olivier Darrigol, Worlds of Flow: A history of hydrodynamics from the Bernoullis to Prandtl, Oxford Univ. Press 2005.
Lorraine Daston, Classical Probability in the Enlightenment, Princeton University Press, 1995. AuthorQ&A
Datta Bibhutibhushan and Narayan Singh Avadhesh, History of Hindu Mathematics: A Source Book, Cosmo Publications reprint edition, 2010. Webpage, 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, Review, Review
Sergei S. Demidov and Boris V. Levshin (eds.), (transl. Roger Cooke), The Case of Academician Nikolai Nikolaevich Luzin, American Mathematical Society, 2016. Review
Abraham De Moivre (Helen M. Walker, ed.), The Doctrine of Chances: A Method of Calculating the Probabilities of Events in Play, Chelsea Publishing Co./American Mathematical Society; reprint edition, 2000.
John Derbyshire, Unknown Quantity: A Real and Imaginary History of Algebra, Plume Books, 2007. Review, Review
René Descartes, The Geometry of René Descartes, 1637, translated and annotated by David Eugene Smith and Marcia Latham in 1925, this edition Cosimo Classics, 2007. [154]
Alain Desrosieres, The Politics of Large Numbers: A History of Statistical Reasoning, Harvard University Press, paperback edition, 2002.
Keith Devlin, The Unfinished Game: Pascal, Fermat, and the Seventeenth-Century Letter That Made the World Modern, Basic Books, 2010. Review, Review
——— , The Man of Numbers: Fibonacci's Arithmetic Revolution, Bloomsbury Paperbacks, 2012. Review, Review, Review
Leonard Eugene Dickson, History of the Theory of Numbers, Volume I: Divisibility and Primality, Dover Publications reprint, 2005. [231] Ebook, Review, Review essay
——— , History of the Theory of Numbers, Volume II: Diophantine Analysis, Dover Publications reprint, 2005. Ebook, Review
——— , History of the Theory of Numbers, Volume III: Quadratic and Higher Forms, Dover Publications reprint, 2005. Ebook, Review
Charles L. Dodgson, An Elementary Treatise On Determinants, 1867, reprinted Rough Draft Printing, 2007. [96]
John F. Dooley, The Gambler and the Scholars: Herbert Yardley, William & Elizebeth Friedman, and the Birth of Modern American Cryptology, Springer, 2024.
——— , History of Cryptography and Cryptanalysis: Codes, Ciphers, and Their Algorithms, Springer, 2nd ed., 2024.
Sarah Dry, The Newton Papers: The Strange and True Odyssey of Isaac Newton's Manuscripts, Oxford University Press, 2014. Review
Roman Duda (transl. Daniel Davies), Pearls from a Lost City: The Lvov School of Mathematics, American Mathematical Society, 2014. Review
William Dunham, Euler : The Master of Us All, The Mathematical Association of America, 1999. [206] 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. [39, 204] Review
Leonhard Euler (transl. Francis Horner, ed. John Hewlett), Elements of Algebra, Cambridge University Press reprint, 2012. Ebook, Review (14.6MB)
——— (transl. John D. Blanton), Introduction to Analysis of the Infinite: Book One: Books 1 + 2, Springer reprint edition, 1988. Review (14.7MB)
John Fauvel, Raymond Flood and Robin Wilson, Oxford Figures: Eight Centuries of the Mathematical Sciences, Oxford University Press, 2nd edition, 2013. [20] Review (of 1st ed.)
Pasquale Joseph Federico, Descartes on Polyhedra: A Study of the De Solidorum Elementis, Springer, 1982. Webpage
Giovanni Ferraro, The Rise and Development of the Theory of Series Up to the Early 1820s, Springer, 2008. Review
José Ferreirós and Jeremy Gray, The Architecture of Modern Mathematics: Essays in History and Philosophy, Oxford University Press, 2006. [34]
J.V. Field, The Invention of Infinity: Mathematics and Art in the Renaissance, Oxford University Press, 1997. Review
———, Piero della Francesca: A Mathematician's Art, Yale University Press, 2005. Review (3.1MB)
——— and Jeremy Gray, The Geometrical Work of Girard Desargues, Springer-Verlag, New York, 1987.
Richard Fitzpatrick, Euclid's Elements of Geometry, publ. Richard Fitzpatrick, 2007. [149] Ebook
Raymond Flood, Tony Mann and Mary Croraken (eds.), Mathematics at the Meridian, Routledge, 2019. Review
Raymond Flood, Adrian Rice and Robin Wilson (eds.), Mathematics in Victorian Britain, Oxford University Press, 2011. Review, Review, Review (13.5MB)
Raymond Flood and Robin Wilson (eds.), The Great Mathematicians, Arcturus Publishing, 2011.
David Fowler, The Mathematics of Plato's Academy: A New Reconstruction, Clarendon Press, 2nd edition, 1999. [27] Review
Michael N. Fried, Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary, Springer, New York, 2011.
Enrique A. González-Velasco, Journey through Mathematics: Creative Episodes in Its History, Springer, 2011. Review, Review
Judith V. Grabiner, The Origins of Cauchy's Rigorous Calculus, Dover Publications edition, 2005. Review, Review
——— , A Historian Looks Back: The Calculus as Algebra and Selected Writings, Mathematical Association of America, 2010.
Loren Graham and Jean-Michel Kantor, Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity, Harvard University Press, 2009. Review, Review
Hardy Grant and Israel Kleiner, Turning Points in the History of Mathematics, Birkhäuser, 2015.
Ivor Grattan-Guinness, The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor Through Russell to Godel, Princeton University Press, 2000. Review, Review, Review
——— , Routes of Learning: Highways, Pathways, and Byways in the History of Mathematics, The Johns Hopkins University Press, 2009. Review
Jeremy J. Gray, Ideas of Space: Euclidean, Non-Euclidean and Realativistic, Oxford University Press, 2nd edition, 1989.
——— , 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
Niccolò Guicciardini, Isaac Newton on Mathematical Certainty and Method, The MIT Press, 2009. Review
Ian Hacking, The Emergence of Probability: A Philosophical Study of Early Ideas About Probability Induction and Statistical Inference, Cambridge University Press, 2nd Edition, 2006. Webpage, Review
Anders Hald, A History of Probability and Statistics and Their Applications Before 1750, Wiley-Blackwell, 1990.
A. Rupert Hall, Philosophers at War: The Quarrel between Newton and Leibniz, Cambridge University Press, 2002.
Paul Halpern, The Quantum Labyrinth: How Richard Feynman and John Wheeler Revolutionized Time and Reality, Basic Books, 2017. 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
Thomas Little Heath (ed.), The Works of Archimedes: Edited in Modern Notation with Introductory Chapters, Cambridge University Press, reprint edition, 2009. [233]
Dietmar Herrmann, Ancient Mathematics: History of Mathematics in Ancient Greece and Hellenism, Springer, 2023.
David Hilbert and Stephan Cohn-Vossen (transl. Paul F. Nemenyi), Geometry and the Imagination, American Mathematical Society, 2nd edition, 1999. Review
Arie Hinkis, Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion, Birkhäuser; 2013. [196] Review
Lancelot Hogben, Mathematics for the Million: How to Master the Magic of Numbers, The Merlin Press Ltd, 4th revised edition, 1989.
Nathalia Holt, Rise of the Rocket Girls: The Women Who Propelled Us, from missiles to the Moon to Mars, Little Brown, 2016. Review, Review, Review, Review, Review
Jens Høyrup, Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture, Birkhäuser, 2007. Review, Rebuttal, Review
Edward V. Huntington, Continuum and Other Types of Serial Order: Second Edition (Dover Books on Mathematics)
George Ifrah (David Bellos, Sophie Wood and Ian Monk, transl.), The Universal History of Numbers: From Prehistory to the Invention of the Computer, John Wiley & Sons, 1999. Review
——— (transl. & annotated, E. F. Harding, Sophie Wood, Ian Monk, Elizabeth Clegg and Guido Waldman), The Universal History of Computing: From the Abacus to the Quantum Computer, John Wiley & Sons, New York, 2000. Review
Annette Imhausen, Mathematics in Ancient Egypt: A Contextual History, Princeton University Press, 2016. Review, Review
Ioan James, Driven to Innovate: A Century of Jewish Mathematicians and Physicists: A Century of Mathematicians and Physicists, Peter Lang 2009.
Catherine Jami, The Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722), Oxford University Press, 2012. Review, Review
Alexander Jones, Christine Proust, John M. Steele (eds.), A Mathematician's Journeys: Otto Neugebauer and Modern Transformations of Ancient Science, Springer, 2016. Review
George Gheverghese Joseph, The Crest of the Peacock: Non-European Roots of Mathematics, Third Edition, Princeton University Press, 2010. Webpage, Review, Review, Review
——— , Indian Mathematics: Engaging with the World from Ancient to Modern Times, World Scientific Publishing Company, 2016. Review, Review
Robert Kaplan, The Nothing That is: A Natural History of Zero, Penguin Books Ltd, paperback edition, 2000. Review
Ellen Kaplan and Robert Kaplan, Hidden Harmonies: The Lives and Times of the Pythagorean Theorem, Bloomsbury Press, 2011.
Victor J Katz (ed), A History of Mathematics, Pearson Education, 3rd edition, July 2008.
——— (ed.), Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, Princeton University Press, 2007. [92, 188]
——— and Karen Hunger Parshall, Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century, Princeton University Press, 2014. Review, Review
Olivier Keller, Aux origines de la géométrie: Le Paléolithique et le monde des chasseurs-cueilleurs, Vuibert, 2004.
——— , Une archéologie de la géométrie: Peuples paysans sans écriture et premières civilisations, Vuibert, 2006.
——— , L'Invention Du Nombre: Des Mythes de Creation Aux Elements d'Euclide, ? Classiques Garnier, 2016. Review (French)
Kate Kitagawa and Timothy Revell, The Secret Lives of Numbers: A Global History of Mathematics & Its Unsung Trailblazers, Penguin, 2024. Review, Essay review, Review, Review, Review, Review, Review, Review
Felix Kline (transl. Gert Schubring), Elementary Mathematics from a Higher Standpoint, Volume I: Arithmetic, Algebra, Analysis, Springer-Verlag, 2016. Ebook (1932 translation), Review, Review (of 1932 translation)
——— (transl. ——— ), Elementary Mathematics from a Higher Standpoint, Volume II: Geometry, Springer-Verlag, 2016. Review, Review (of 1939 translation)
——— (transl. Marta Menghini), Elementary Mathematics from a Higher Standpoint, Volume III: Precision Mathematics and Approximation Mathematics, Springer-Verlag, 2016. Review
Morris Kline, Mathematics: The Loss of Certainty, Oxford University Press, USA, 1983 re-edition. [17, 22, 23]
——— , Mathematical Thought from Ancient to Modern Times: Vol 1, Oxford University Press, 1990 re-edition, also Vol 2 and Vol 3.
Wilbur Richard Knorr, The Evolution of the Euclidean Elements: A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry, Springer, paperback edition, 1980. [27]
A.N. Kolmogorov and A.P. Yushkevich (eds.), Mathematics of the 19th Century: Vol. I, Birkhauser, 2nd edition 2001, also Vol II and Vol. III.
Yvette Kosmann-Schwarzbach (transl. Bertram E. Schwarzbach), The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century, Springer, New York, 2011. [86] Author Q&A, Review, Review
Joseph Kouneiher (ed.), Foundations of Mathematics and Physics One Century After Hilbert, Springer, 2018. Review
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
Snezana Lawrence, A New Year's Present From a Mathematician, Chapman and Hall, 2019. Review
——— , A Little History of Mathematics, Yale University Press, 2025.
Olli Lehto, Mathematics Without Borders: A History of the International Mathematical Union, Springer, 1998. Ebook, Review
Detlef Laugwitz (transl. Abe Shenitzer), Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics, Birkhäuser, paperback edition 2010. [218] Review, Review
Anthony Lo Bello, Origins of Mathematical Words: A Comprehensive Dictionary of Latin, Greek, and Arabic Roots, Johns Hopkins University Press, 2013. Review
Paolo Mancosu, Philosophy of Mathematics & Mathematical Practice in the Seventeenth Century, Oxford University Press, paperback edition, 1999. [208, 220] Review
Eli Maor, The Pythagorean Theorem: A 4,000-year History, Princeton University Press, 2007. [27] Review
Richard Mankiewicz, The Story Of Mathematics, Princeton University Press, 2001. Review
Alberto A. Martínez, The Cult of Pythagoras: Math and Myths, University of Pittsburgh Press, 2013. Review, Review
Laurent Mazliak and Glenn Shafer (eds.), The Splendors and Miseries of Martingales: Their History from the Casino to Mathematics, Birkhäuser, 2022.
Joseph Mazur, Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers, Princeton University Press, 2014. Review, Review, Review, Review, Review, Review, Review
Massimo Mazzotti, Reactionary Mathematics: A Genealogy of Purity, University of Chicago Press, 2023.
Sharon Bertsch McGrayne, The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy, Yale University Press, 2012. Review, Review, Review, Review, Review
Elaine McKinnon Riehm and Frances Hoffman, Turbulent Times in Mathematics: The Life of J.C. Fields and the History of the Fields Medal, American Mathematical Society, 2011. Review, Review, Review (2MB)
Uta C. Merzbach and Carl B. Boyer, A History of Mathematics, third edition, Springer, 2016. Review
Calvin C. Moore, Mathematics at Berkeley: A History, A K Peters, 2007. Review (10MB), Review
Gregory H. Moore, Zermelo's Axiom of Choice: Its Origins, Development, and Influence, Dover reprint, 2013.
Thomas Morel, Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe, Cambridge University Press, 2023.
Steve Nadis and Shing-tung Yau, A History in Sum: 150 Years of Mathematics at Harvard (1825-1975), Harvard University Press, 2013. Review
Paul Nahin, An Imaginary Tale: The Story of √-1, Princeton University Press, 1998. [224] Review, Review
——— , The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age, Princeton University Press, 2012. Review, Review, Review
——— , In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem, Princeton University Press, 2023. Review, Review, Review
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)
——— and William Noel, The Archimedes Codex: Revealing The Secrets Of The World's Greatest Palimpsest, Da Capo Press, 2007. Author lecture, Review, Review, Review
Peter M. Neumann, The Mathematical Writings of Evariste Galois, European Mathematical Society, 2011. [58] Review, Review, Review, Review, Review
Isaac Newton (transl. I. Bernard Cohen and Anne Whitman), The Principia: The Authoritative Translation: Mathematical Principles of Natural Philosophy
Helmut Neunzert, Iris Runge: A Life at the Crossroads of Mathematics, Science, and Industry, Birkhäuser, 2012. Review, Review
Susan Oakes, Alan Pears and Adrian Rice (eds.), The Book of Presidents 1865 - 1965, London Mathematical Society 2005. Review
Karen Hunger Parshall and Adrian C. Rice, Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945, American Mathematical Society, 2002. Review
Paul C. Pasles, Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey, Princeton University Press, 2007.
Miodrag Petkovic, Famous Puzzles of Great Mathematicians, American Mathematical Society, 2009. Review
Cliff Pickover, The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics, Sterling, 2009.
Jan von Plato, Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical Perspective, Cambridge University Press, 1994. Review
Kim Plofker, Mathematics in India: 500 BCE-1800 CE, Princeton University Press, 2008. Review
David Reimer, Count Like an Egyptian: A Hands-on Introduction to Ancient Mathematics, Princeton University Press, 2014. Review, Review, Review, Review
David S. Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, Princeton University Press, 2008. [26] Review, Review, Review, Review, Review, Review
———, Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity, Princeton University Press, 2019. Review, Review, Review
Tony Robbin, Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought, Yale University Press, 2006. [162] Review (18MB), Review, Review
Jerry Roberts, Lorenz: Breaking Hitler's Top Secret Code at Bletchley Park, The History Press, 2017. Review, Review, Review
Eleanor Robson and Jacqueline Stedall, The Oxford Handbook of the History of Mathematics, Oxford University Press, reprint edition, 2011. Review
Anne Rooney, The Story of Mathematics, Arcturus Publishing 2009.
Peter Roquette, The Brauer-Hasse-Noether Theorem in Historical Perspective, Springer, 2004. [158] Review
Walter William Rouse Ball, A History of the Study of Mathematics at Cambridge , Cambridge University Press, 2009 facsimile reprint.
C. Edward Sandifer, How Euler Did It, The Mathematical Association of America, 2007. [246] Review, Review, Review
———, How Euler Did Even More, The Mathematical Association of America, 2014. Review
Sakurai Susumu (transl. Emma Ford with Gaynor Sekimori), Wasan, the Fascination of Traditional Japanese Mathematics, Japan Publishing Industry Foundation for Culture, 2018
Winfried Scharlau 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. [199, 200] Review
Sanford L. Segal, Mathematicians under the Nazis, Princeton University Press, 2003. Review, Review, Review, Review
Charles Seife, Zero: The Biography of a Dangerous Idea, Souvenir Press Ltd, new edition, 2000. Review, Review, Review, Review, Review
Muriel Seltman and Robert Goulding (eds.), Thomas Harriot's Artis Analyticae Praxis: An English Translation with Commentary, Springer Verlag, 2007. Review
Margot Lee Shetterly, Hidden Figures: The Untold Story of the African American Women Who Helped Win the Space Race, William Collins, 2016. Review
Wilfried Sieg, Hilbert's Programs and Beyond, Oxford University Press, 2013.
Lawrence Sigler, Fibonacci's Liber Abaci: A Translation into Modern English of Leonardo Pisano's Book of Calculation
Alexander Soifer, The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators, Springer, 2008. [1, 28] Review, Review
Thomas Sonar (Patricia Morton and Keith William Morton, transl.), The History of the Priority Di∫pute between Newton and Leibniz: Mathematics in History and Culture, Springer, 2018. Review, Review
Jacqueline A. Stedall, A Discourse Concerning Algebra: English Algebra to 1685, Oxford University Press, 2002. Review, Review
——— , The Greate Invention of Algebra: Thomas Harriot's Treatise on Equations, Oxford University Press, 2003. Review
——— , The Arithmetic of Infinitesimals: John Wallis 1656, Springer, 2004. [137] Review
——— , Mathematics Emerging: A Sourcebook 1540 - 1900, Oxford University Press, 2008. Review, 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
Ian Stewart, Seventeen Equations that Changed the World, Profile Books 2013. Review, Review, Review, Review, Review (2MB), Review
Stephen M. Stigler, The History of Statistics: The Measurement of Uncertainty Before 1900, Harvard University Press, 1990. Review (10MB)
——— , Statistics on the Table: The History of Statistical Concepts and Methods, Harvard University Press, paperback edition 2002. [10] Review, Review, Review
John Stillwell, Yearning for the Impossible: The Surprising Truths of Mathematics, A K Peters/CRC Press, 2006. Review, Review, Review
——— ,Mathematics and Its History, 3rd edition, Springer, 2010. Review, Review
Dirk J. Struik, A Concise History of Mathematics, Fourth Revised Edition], Dover Publications, 1987. Ebook, Review
Frank J. Swetz, Mathematical Expeditions: Exploring Word Problems across the Ages, The Johns Hopkins University Press, 2012. Review
Glen Van Brummelen, The Mathematics of the Heavens and the Earth: The Early History of Trigonometry, Princeton University Press, 2009. Review, Review
David Foster Wallace, Everything and More: A Compact History of ∞, W.W. Norton, paperback edition, 2005. Review, Review, Review, Review, Review, Review, Review, Review
Benjamin Wardhaugh, How to Read Historical Mathematics, Princeton University Press, 2010. Review
——— , Poor Robin's Prophecies: A curious Almanac, and the everyday mathematics of Georgian Britain, Oxford University Press, 2012.
——— , A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing, Princeton University Press, 2012. [217] Review (13.5MB), Review
——— , The Book of Wonders: The Many Lives of Euclid’s Elements, William Collins, 2020. Review
——— , Counting: Humans, History and the Infinite Lives of Numbers, William Collins, 2024. Q&A
Robin J. Wilson, Stamping Through Mathematics, Springer 2001. Review, Review
——— and John J. Watkins (eds.), Combinatorics: Ancient & Modern, OUP, 2013. [242] Review, Review
Biography
Exceptionally, entries in this section are listed alphabetically by name of subject — Archimedes by Stein appearing before Zermelo by Ebbinghaus. Subject names are specified in square brackets and cross-link to Index of Mathematicians where applicable, and otherwise to The MacTutor History of Mathematics Archive.
Links to Review or to Obituary often provide a first rate summary of the subject's life and achievements.
Collections of work by, or tributes to, named mathematicians also appear her. Collections of biographies appear separately under The Profession of Mathematics.
[Abel, Niels Henrik] Øystein Ore, Niels Henrik Abel: Mathematician Extraordinary, American Mathematical Society, reprint edition, 2008.
[ ——— ] Arild Stubhaug (translated R. Daly), Niels Henrik Abel and his Times: Called Too Soon by Flames Afar, Springer-Verlag, Berlin, 2000. Review, Review
[Agnesi, Maria Gaetana] Massimo Mazzotti, The World of Maria Gaetana Agnesi, Mathematician of God, Johns Hopkins University Press, 2007. Introduction, Review
[Ahlfors, Lars] Olli Lehto, Lars Ahlfors at the Summit of Mathematics, American Mathematical Society, 2015. Review
[Albert, Abraham Adrian] Nancy E. Albert, A3 & His Algebra: How a Boy from Chicago's West Side Became a Force in American Mathematics
[Archimedes of Syracuse] Sherman Stein, Archimedes: What Did He Do Beside Cry Eureka?, The Mathematical Association of America, 1999. Review
[Arnold, Vladimir Igorevich] Boris A. Khesin and Serge L. Tabachnikov (eds.), Arnold: Swimming Against the Tide
[Artin, Emil] Günther Frei, Franz Lemmermeyer and Peter J. Roquette (eds.), Emil Artin and Helmut Hasse: The Correspondence 1923-1958, Springer, 2014. Review
[Babbage, Charles] Sydney Padua, The Thrilling Adventures of Lovelace and Babbage: The (Mostly) True Story of the First Computer
[ ——— ] Doron Swade, The Cogwheel Brain: Charles Babbage and the quest to build the first computer
[Baggett, Larry W.] Larry Baggett, In the Dark on the Sunny Side: A Memoir of an Out-of-Sight Mathematician, The Mathematical Association of America, 2012. Review, Review, Review
[Banach, Stefan] Emilia Jakimowicz and Adam Miranowicz (eds.), Stefan Banach: Remarkable Life, Brilliant Mathematics
[ ——— ] Roman Kaluza (transl. A. Kostant and Wojbor A. Woyczynski), Through a Reporter's Eyes: The Life of Stefan Banach
[Bers, Lipman] Linda Keen, Irwin Kra, and Rubí E. Rodriguez (eds.), Lipman Bers, a Life in Mathematics
[Boole, George] Desmond MacHale, The Life and Work of George Boole: A Prelude to the Digital Age
[Bolzano, Bernard] Paul Rusnock and Jan Sebestík , Bernard Bolzano: His Life and Work, Oxford University Press, 2019. Review
[Bourbaki, Nicholas] Amir D. Aczel, The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed...
[ ——— ] Maurice Mashaal, Bourbaki: A Secret Society of Mathematicians, American Mathematical Society, 2006. Review (3MB)
[Box, George Edward Pelham ] George E.P. Box, An Accidental Statistician: The Life and Memories of George E. P. Box, Wiley, 2013. Review, Review, Review, Review
[Brouwer, LEJ] Dirk van Dalen, Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer, Vol. 1 - The Dawning Revolution, Clarendon Press, 1999. Review
[ ——— ] ———, Mystic, Geometer, and Intuitionist: The Life of L.E.J. Brouwer 1881-1966: Volume 2: Hope and Disillusion: Hope and Disillusion, Clarendon Press, 2005. Review
[ ——— ] ———, L.E.J. Brouwer - Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life
[Cantor, Georg ] Amir D. Aczel, The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity
[ ——— ] Joseph Warren Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite, Princeton University Press, paperback edition, 1990.
[Cardano, Girolamo ] Girolamo Cardano (Jean Stoner, transl.), The Book Of My Life, NYRB Classics, 2002. Review
[Carroll, Lewis = Dodgson, Charles] Robin J. Wilson, Lewis Carroll in Numberland: His Fantastical Mathematical Logical Life, Allen Lane, 2008. Review, Review, Review
[ ——— ] Robin J. Wilson and Amirouche Moktefi (eds.), The Mathematical World of Charles L. Dodgson (Lewis Carroll), Oxford University Press, 2019. Review
[Cauchy, Augustin-Louis] Bruno Belhoste, Augustin-Louis Cauchy: A Biography
[Cayley, Arthur] Tony Crilly, Arthur Cayley: Mathematician Laureate of the Victorian Age, John Hopkins University Press, 2006. Review
[Clifford, William and Lucy] M. Chisholm, Such Silver Currents: The Story of William and Lucy Clifford, 1845-1929
[Conway, John Horton] Siobhan Roberts, Genius At Play: The Curious Mind of John Horton Conway
[Courant, Richard] Constance Reid, Hilbert–Courant
[Coxeter, Donald] Siobhan Roberts, King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry
[Dee, John] Benjamin Wooley, The Queen's Conjuror: The Science and Magic of Dr. Dee, Flamingo, new edition 2002. Review
[De Moivre, Abraham] David R. Bellhouse, Abraham De Moivre: Setting the Stage for Classical Probability and Its Applications
[De Mogan, Augustus] Augustus De Morgan, Formal Logic, Or, The Calculus Of Inference, Necessary And Probable, Alpha Editions, 2020 re-edition of 1847 original. [111] Ebook
[Descartes, René] Desmond Clarke, Descartes: A Biography
[ ——— ] Harold Cook, The Young Descartes: Nobility, Rumor, and War, University of Chicago Press, 2018.
[Dijkstra, Edsger] Krzysztof R. Apt and Tony Hoare (eds.), Edsger Wybe Dijkstra: His Life, Work, and Legacy, Morgan & Claypool Publishers, 2022.
[Dilworth, Robert P.] K. P. Bogart, J. P. S. Kung, R. Freese (eds.), The Dilworth Theorems: Selected Papers of Robert P. Dilworth, Birkhäuser, reprint edition 2013. Review
[Dirac, Paul] Graham Farmelo, The Strangest Man: The Life of Paul Dirac
[ ——— ] Abraham Pais, Maurice Jacob, David I. Olive and Michael F. Atiyah, Paul Dirac: The Man and his Work
[du Châtelet, Émilie] Katherine Brading, Émilie Du Châtelet and the Foundations of Physical Science, Routledge, 2018.
[Dyson, Freeman] Kenneth Brower, The Starship and the Canoe
[ ——— ] Freeman Dyson, Disturbing The Universe, Basic Books, revised edition, 1981. Review
[ ——— ] ———, Maker of Patterns: An Autobiography Through Letters, Liveright, 2018. Review, Review, Review
[ ——— ] Phillip F. Schewe, Maverick Genius: The Pioneering Odyssey of Freeman Dyson
[Einstein, Albert] Denis Brian, Einstein: A Life, John Wiley & Sons, 1997. Review, Review
[ ——— ] Ronald Clark, Einstein: The Life and Times
[ ——— ] Steven Gimbel, Einstein: His Space and Times, Yale University Press, 2015. Review
[ ——— ] Michael D. Gordin, Einstein in Bohemia, Princeton University Press, 2020. Review, Review, Review, Review
[ ——— ] Walter Issacson, Einstein: His Life and Universe
[ ——— ] Thomas Levenson, Einstein in Berlin
[ ——— ] Jürgen Neffe (transl. Shelley Frisch), Einstein: A Biography
[ ——— ] Abraham Pais, Subtle Is the Lord: The Science and the Life of Albert Einstein
[ ——— ] Andrew Robinson, Einstein on the Run: How Britain Saved the World's Greatest Scientist, Yale University Press, 2019. Review, Review, 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, Review, Review, Review
[ ——— ] Deborah Heiligman (illustr. LeUyen Pham), The Boy Who Loved Math: The Improbable Life of Paul Erdős, Roaring Brook Press, 2013. Review, Review, Review, Review, Review, Review, Review
[ ——— ] Bruce Schechter, My Brain is Open: The Mathematical Journeys of Paul Erdős, Touchstone, 2000. [99] Review
[Euler, Leonhard] Ronald S. Calinger,Leonhard Euler: Mathematical Genius in the Enlightenment, Princeton University Press, 2015. Review, Review, Review, Review
[Fermat, Pierre de] Michael Sean Mahoney, The Mathematical Career of Pierre de Fermat, 1601-1665, Princeton University Press, 2nd edition, 1994. Review (1st edition), Review
[Feynman, Richard Phillips] Michelle Feynman (ed.), Perfectly Reasonable Deviations from the Beaten Track: The Letters of Richard P. Feynman
[ ——— ] Richard Feynman with Ralph Leighton, Surely You're Joking Mr Feynman: Adventures of a Curious Character
[ ——— ] James Gleick, Genius: Richard Feynman and Modern Physics
[ ——— ] Lawrence M. Krauss, Quantum Man: Richard Feynman's Life in Science, W. W. Norton & Company, 2012. Review, Review, Review, Review
[ ——— ] Jörg Resag, Feynman and His Physics: The Life and Science of an Extraordinary Man, Springer, 20189. Review, Review, Revie
[ ——— ] Christopher Sykes, No Ordinary Genius
[Fibonacci = Leonardo Pisano] Keith Devlin, The Man of Numbers: Fibonacci's Arithmetic Revolution
[ ——— ] ———, Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World
[Fields, John Charles] Elaine McKinnon Riehm and Frances Hoffman, Turbulent Times in Mathematics: The Life of J.C. Fields and the History of the Fields Medal, American Mathematical Society, 2011. Review, Review, Review (2MB)
[Frege, Gottlob ] Dale Jacquette, Frege: A Philosophical Biography, Cambridge University Press, 2019. Review, Review
[ ——— ] Joan Weiner, Frege Explained, Open Court, 2005. Review
[Galilei, Galileo] Pietro Greco (Giuliana Giobbi, transl.), Galileo Galilei, The Tuscan Artist, Springer, 2018. Review, Review, Review, Review
[ ——— ] John L. Heilbron, Galileo
[ ——— ] David Wootton, Galileo: Watcher of the Skies
[Galois, Evariste] Peter M. Neumann, The Mathematical Writings of Evariste Galois, European Mathematical Society, 2011. Review, Review, Review, Review, Review
[ ——— ] Laura Toti Rigatelli (transl. John Denton), Evariste Galois 1811-1832, Birkhäuser, 1996.
[Gardner, Martin] Martin Gardner, Undiluted Hocus-Pocus: The Autobiography of Martin Gardner
[Gauss, Carl Friedrich] Hans Wußing, Carl Friedrich Gauß: Biographie und Documente, EAGLE, Leipzig, 2011.
[Germain, Marie-Sophie] Cheryl Bardoe and Barbara McClintock, Nothing Stopped Sophie: The Story of Unshakable Mathematician Sophie Germain, Little, Brown Young Readers US, 2018. Review, Review, Review
[ ——— ] Dora E. Musielak, Prime Mystery: The Life and Mathematics of Sophie Germain, AuthorHouse, 2015. Review
[ ——— ] Stephen Ornes, Sophie Germain, Morgan Reynolds Publishing, 2008.
[Gödel, Kurt] Stephen Budiansky, Journey to the Edge of Reason: The Life of Kurt Gödel, Oxford University Press, 2021. Review, Review, Review
[ ——— ] John W. Dawson Jr, Logical Dilemmas: The Life and Work of Kurt Gödel
[ ——— ] Rebecca Goldstein, Incompleteness: The Proof and Paradox of Kurt Gödel, W. W. Norton & Company, 2005. [75] Review, Review, Review
[Green, George] D. M. Cannell, George Green: Mathematician and Physicist 1793-1841: The Background to His Life and Work
[Grothendieck, Alexandre, Obituary] Pierre Colmez and J.P. Serre (eds.), Grothendieck-Serre Correspondence: Bilingual Edition, American Mathematical Society, 2004. Review
[ ——— ] Leila Schneps, Alexandre Grothendieck: A Mathematical Portrait
[Hadamard, Jacques] Vladimir Maz'ya and Tatyana Shaposhnikova (transl. P. Basarab-Horwath), Jacques Hadamard, A Universal Mathematician, American Mathematical Society, 2000. [18] Review
[Halley, Edmond] John Gribbin and Mary Gribbin, Out of the Shadow of a Giant: Hooke, Halley and the Birth of British Science
[Halmos, Paul Richard, Obituary] Paul R. Halmos, I Want to Be a Mathematician: An Automathography, Springer, New York, 1985. Review
[Hardy, Godfrey Harold] Donald J. Albers, Gerald L. Alexanderson and William Dunham (eds.), The G. H. Hardy Reader, Mathematical Association of America, 2015. Review
[ ——— ] London Mathematical Society (ed.), Collected Papers of G.H. Hardy; Including Joint Papers with J.E. Littlewood and Others, Volumes 1-7
[Harriot, Thomas] Robyn Arianrhod, Thomas Harriot: a Life in Science, Oxford University Press, 2019. Review
[Hasse, Helmut] Günther Frei, Franz Lemmermeyer and Peter J. Roquette (eds.), Emil Artin and Helmut Hasse: The Correspondence 1923-1958, Springer, 2014. Review
[Hawking, Stephen William] Stephen W. Hawking, My Brief History, Bantam Press, 2013. Review, Review, Review
[ ——— ] Kristine Larsen, Stephen Hawking: A Biography, Jaico Books, paperback edition 2012. Review
[ ——— ] Charles Seife, Hawking Hawking: The Selling of a Scientific Celebrity, Basic Books, 2021. Review, Review, Review
[ ——— ] Michael White and John Gribbin, Stephen Hawking: A Life in Science
[Hayman, Walter K.] Walter K. Hayman, My Life and Functions, Lulu.com, 2014. Review
[Helmholtz, Hermann von ] David Cahan, Helmholtz: A Life in Science, University of Chicago Press, 2018. Review
[Hilbert, David] Constance Reid, Hilbert–Courant, Springer reprint edition, 1986. Review
[Hill, Theodore Preston] Ted Hill, Pushing Limits: From West Point to Berkeley and Beyond, American Mathematical Society, 2017. Review
[Hoffman, Alan Jerome] Charles A. Micchelli (ed.), Selected Papers of Alan J.Hoffman, World Scientific Publishing, 2003.
[Hooke, Robert]
John Gribbin and Mary Gribbin, Out of the Shadow of a Giant: Hooke, Halley and the Birth of British Science
[ ——— ] Lisa Jardine, The Curious Life of Robert Hooke: The Man who Measured London
[Hypatia of Alexandria] Michael A. B. Deakin, Hypatia of Alexandria: Mathematician and Martyr
[Kac, Mark] Mark Kac, Enigmas of Chance: An Autobiography
[Kelvin, Lord = Thomsom, William] Raymond Flood, Mark McCartney and Andrew Whitaker (eds.), Kelvin: Life, Labours and Legacy
[ ——— ] Silvanus P. Thompson, The Life of Lord Kelvin: vol. 2, Oxford University Press, 2006 edition. [134]
[Kovalevskaia, Sofia] Michèle Audin, Remembering Sofya Kovalevskaya, Springer, 2016. Review, Review, Review
[ ——— ] Ann Hibner Köblitz, A Convergence of Lives: Sofia Kovalevskaia: Scientist, Writer, Revolutionary, Rutgers University Press, reprint edition 1993. Review
[ ——— ] Joan Spicci, Beyond the Limit: The Dream of Sofya Kovalevskaya
[Kreisel, Georg] Piergiorgio Odifreddi (ed.), Kreiseliana: About and Around Georg Kreisel
[Lagrange, Joseph Louis] Irina Alexandrovna Tyulina, Joseph Louis Lagrange 1736 - 1813, Knizhnyy dom "LIBROKOM", 2010. In Russian.
[Lax, Peter] Reuben Hersh, Peter Lax, Mathematician: An Illustrated Memoir
Leonardo of Pisa: see Fibonacci
[Lie, Sophus] Arild Stubhaug (translated R. Daly), The Mathematician Sophus Lie: It was the Audacity of My Thinking
[Liouville, Joseph] Jesper Lützen, Joseph Liouville 1809-1882: Master of Pure and Applied Mathematics, Springer, 1990. Review (17.5MB)
[Lovelace, Ada] James Essinger, Ada's Algorithm: How Lord Byron's Daughter Ada Lovelace Launched the Digital Age
[ ——— ] Sydney Padua, The Thrilling Adventures of Lovelace and Babbage: The (Mostly) True Story of the First Computer
[ ——— ] Benjamin Woolley, The Bride of Science: Romance, Reason and Byron's Daughter, Pan, paperback edition, 2015. Review, Review
[Mac Lane, Saunders] Saunders Mac Lane, Saunders Mac Lane: A Mathematical Autobiography
[Mandelbrot, Benoit] Benoit B. Mandelbrot, The Fractalist: Memoir of a Scientific Maverick
[Manin, Yuri Ivanovich] Yuri I. Manin, Mathematics as Metaphor: Selected Essays of Yuri I. Manin, American Mathematical Society, 2008.
[Maxwell, James Clerk] Raymond Flood, Mark McCartney and Andrew Whitaker (eds.), James Clerk Maxwell: Perspectives on his Life and Work, Oxford University Press, 2014. Review, Review
[ ——— ] Basil Mahon, The Man Who Changed Everything: The Life of James Clerk Maxwell
[Milne, Edward Arthur] Meg Weston Smith, Beating the Odds: The Life and Times of E. A. Milne
[Mosteller, Charles Frederick] Frederick Mosteller, The Pleasures of Statistics: The Autobiography of Frederick Mosteller
[Nagumo, Mitio] Masaya Yamaguti and Louis Nirenberg(eds.), Mitio Nagumo, Collected Papers, Springer, paperback edition, 2014.
[Napier, John] Julian Havil, John Napier: Life, Logarithms, and Legacy
[Nash, John Forbes] Harold W. Kuhn and Sylvia Nasar (eds.), The Essential John Nash
[ ——— ] Sylvia Nasar, A Beautiful Mind
[Newton, Isaac] Florian Freistetter (transl. Brian Taylor), Isaac Newton, the Asshole Who Reinvented the Universe, Prometheus Books, 2018. Review, Review, Review, Review
[ ——— ] James Gleick, Isaac Newton
[Noether, Amelie ('Emmy')] Auguste Dick (transl. H. I. Blocher), Emmy Noether 1882-1935
[ ——— ] David E. Rowe, Emmy Noether – Mathematician Extraordinaire, Springer, 2021.
[ ——— ] ——— and Mechthild Koreuber, Proving It Her Way: Emmy Noether, a Life in Mathematics, Springer, 2020.
[ ——— ] M.B.W. Tent, Emmy Noether: The Mother of Modern Algebra
[Norton, Simon] Alexander Masters, The Genius in my Basement
[Ono, Kenneth] Ken Ono and Amir D. Aczel, My Search for Ramanujan: How I Learned to Count
[Osgood, William Fogg] Diann R. Porter, William Fogg Osgood at Harvard: Agent of a Transformation of Mathematics in the United States
[Penrose, Roger] Patchen Barss, The Impossible Man: Roger Penrose and the Cost of Genius, Basic Books, 2024. Review, Review, Review
Pisano, Leonardo: see Fibonacci
[Petri, Carl Adam] Einar Smith (transl. Tim Denvir), Carl Adam Petri: Life and Science, Springer, 2015.
[Poincaré, Henri] Jeremy Gray, Henri Poincaré: A Scientific Biography, Princeton University Press, 2012. Review, Review
[ ——— ] Henri Poincaré, Calcul des Probabilités, Forgotten Books reprint edition, 2018. [221]
[ ——— ] Ferdinand Verhulst, Henri Poincaré: Impatient Genius
[Pólya, George] Gerald L. Alexanderson, The Random Walks of George Polya, Mathematical Association of America, 2000. Review, Review
[Ramanujan, Srivivasa] G.H. Hardy, P. V. Seshu Aiyar and B. M. Wilson (eds.), Collected Papers of Srinivasa Ramanujan, Chelsea Publishing Co./American Mathematical Society, 2000.
[ ——— ] Robert Kanigel, The Man Who Knew Infinity: a Life of the Genius Ramanujan, Abacus, new edition 1992. Review, (of the Matthew Brown film: Review)
[ ——— ] Ken Ono and Amir D. Aczel, My Search for Ramanujan: How I Learned to Count
[Ramsey, Frank Plumpton] Cheryl Misak, Frank Ramsey: A Sheer Excess of Powers, Oxford University Press, 2020. Review, Review, Review
[ ——— ] Margaret Paul, Frank Ramsey (1903-1930): A Sister's Memoir, Smith-Gordon & Co Ltd, 2012. Review, Review
[Riemann, Bernhard] Detlef Laugwitz (transl. Abe Shenitzer), Bernhard Riemann 1826–1866: Turning Points in the Conception of Mathematics, Birkhauser, 2nd printing, 2008. Review, Review
[Robinson, Julia] Constance Reid, Julia: A Life in Mathematics, The Mathematical Association of America, 1997.
[Rodrigues, Benjamin Olinde] Simon Altmann and Eduardo L. Ortiz (eds.), Mathematics and Social Utopias in France: Olinde Rodrigues and His Times, American Mathematical Society, 2013. Review, Review, Review
[Schwartz, Laurent, Obituary] Laurent Schwartz, Un mathématicien aux prises avec le siècle
[Seki Takakazu] Eberhard Knobloch, Hikosaburo Komatsu and Dun Liu (eds.), Seki, Founder of Modern Mathematics in Japan: A Commemoration on His Tercentenary, Springer, 2013. [222] Review
[Shannon, Claude Elwood] Jimmy Soni and Rob Goodman, A Mind at Play: How Claude Shannon Invented the Information Age
[Shimura, Goro] Goro Shimura, The Map of My Life, Springer, 2008. Review, Review
[Simons, James Harris] Gregory Zuckerman, The Man Who Solved the Market: How Jim Simons Launched the Quant Revolution, Penguin, 2023. Review, Review, Review, Review, Review
[Smale, Stephen] Steve Batterson, Stephen Smale: The Mathematician Who Broke the Dimension Barrier
[Smullyan, Raymond Merrill] Melvin Fitting and Brian Rayman, eds., Raymond Smullyan on Self Reference, Springer, 2017. Review
[ ——— ] Raymond Smullyan, Reflections: The Magic, Music And Mathematics Of Raymond Smullyan, World Scientific, 2015. Review, Review
[Somerville, Mary Fairfax] Allan Chapman, Mary Somerville: And the World of Science
[ ——— ] Kathryn A. Neeley, Mary Somerville: Science, Illumination, and the Female Mind
[ ——— ] Elisabetta Strickland, The Ascent of Mary Somerville in 19th Century Society, Springer, 2016. Review
[Stanley, Richard P.] Patricia Hersh, Thomas Lam, Pavlo Pylyavskyy, and Victor Reiner, (eds.), The Mathematical Legacy of Richard P. Stanley
[ ——— ] ——— ,——— ,——— ,——— , Selected Works of Richard P. Stanley
[Sylvester, James Joseph] Karen Hunger Parshall, James Joseph Sylvester: Jewish Mathematician in a Victorian World, The Johns Hopkins University Press, 2006. [142, 237] Review, Review
[ ——— ] James Joseph Sylvester, The Collected Mathematical Papers of James Joseph Sylvester: Volume 4, 1882-1897, Cambridge University Press, 2012 reissue. [237]
[Tarski, Alfred] Anita Burdman Feferman and Solomon Feferman, Alfred Tarski: Life and Logic
[ ——— ] Andrew McFarland, Joanna McFarland and James Smith (eds.), Alfred Tarski: Early Work in Poland – Geometry and Teaching
Thomson, William: see Kelvin, Lord.
[Thurston, William Paul] Benson Farb, David Gabai and Steven P. Kerkhoff (eds.), The Collected Works of William P. Thurston with Commentary, American Mathematical Society, 2022. Review
[Turing, Alan Mathison] S. Barry Cooper and Jan van Leeuwen, Alan Turing: His Work and Impact
[ ——— ] B. Jack Copeland (ed.), The Essential Turing
[ ——— ] ——— , Turing: Pioneer of the Information Age
[ ——— ] ——— , Jonathan Bowen, Mark Sprevak and Robin J Wilson, The Turing Guide
[ ——— ] Andrew Hodges, Alan Turing: The Enigma, centenary edition, Princeton University Press, 2012. Webpage, Review, Review, Review, Review, Review, Review
[ ——— ] David Leavitt, The Man Who Knew Too Much: Alan Turing and the Invention of the Computer, W. W. Norton, 2005. Review, Review
[ ——— ] Christof Teuscher (ed.), Alan Turing: Life and Legacy of a Great Thinker
[ ——— ] Dermot Turing, Prof: Alan Turing Decoded
[ ——— ] Sara Turing, Alan M. Turing, Cambridge University Press, centenary edition, 2012. Review
[Ulam, Stanisław] Stanisław Ulam, The Adventures of a Mathematician, University of California Press; reprinted edition 1992. [39] Review
[Urschel, John Cameron] John Urschel and Louisa Thomas, Mind and Matter: A Life in Math and Football, Penguin Press, 2019. Review, Review
[Van der Waerden, Bartel Leendert] Alexander Soifer, The Scholar and the State: In Search of Van der Waerden
[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)
[von Neumann, John] Ananyo Bhattacharya, The Man from the Future: The Visionary Life of John von Neumann, Allen Lane, 2021. Review, Review, Review, Review, Review
[Weil, André] André Weil (Souvenirs d’apprentissage, transl. Jennifer Gage), The Apprenticeship of a Mathematician, Birkhaüser, 1991. Review
[Wiener, Norbert] Flo Conway and Jim Siegelman, Dark Hero of the Information Age: In Search of Norbert Wiener - Father of Cybernetics
[ ——— ] Norbert Wiener, I Am a Mathematician, Victor Gollanz, London, 1956.
[Wren, Christopher] James A. Bennett, The Mathematical Science of Christopher Wren
[ ——— ] Lisa Jardine, On a Grander Scale: The Outstanding Career of Sir Christopher Wren
[Dorothy Wrinch] Marjorie Senechal, I Died for Beauty: Dorothy Wrinch and the Cultures of Science, Oxford University Press, 2012. Review, Review, Review, Review
[Yau Shing-Tung] Shing-Tun Yau and Steve Nadis, The Shape of Life, Yale University Press, 2019. Review, Review
[Zariski, Oscar] Carol Parikh, The Unreal Life of Oscar Zariski, Springer, 2009. Review
[Zermelo, Ernst] Heinz-Dieter Ebbinghaus with Volker Peckhaus, Ernst Zermelo: An Approach to His Life and Work
The profession and practice of mathematics
Amir D. Aczel, A Strange Wilderness: The Lives of the Great Mathematicians
Donald J. Albers and Gerald L. Alexanderson, Mathematical People: Profiles and Interviews
——— and ———, Fascinating Mathematical People: Interviews and Memoirs
Lara Alcock, How to Study for a Mathematics Degree
Charles Babbage, Passages from the Life of a Philosopher, Cambridge University Press, reissue edition, 2011. Ebook
Larry Baggett, In the Dark on the Sunny Side: A Memoir of an Out-of-Sight Mathematician, The Mathematical Association of America, 2012. Review, Review, Review
E. Bell, Men of Mathematics, Simon & Schuster Inc, 1986. Review
Anthony Bonato, Limitless Minds, American Mathematical Society, 20018.
Alexandre V. Borovik, Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice, American Mathematical Society, 2010. Review, Review
Peter Borwein, Peter Liljedahl and Helen Zhai (eds.), Mathematicians on Creativity, Mathematical Association of America, 2014.
Peter Casazza, Steven G. Krantz and Randi D. Ruden (eds.), I, Mathematician, Mathematical Association of America, 2015. Review
Mariana Cook, Mathematicians: An Outer View of the Inner World
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
John W. Dawson Jr, Why Prove it Again?: Alternative Proofs in Mathematical Practice
Philip J. Davis, The Education of a Mathematician
——— , Unity and Disunity and Other Mathematical Essays
——— , Reuben Hersch and Elena Anne Marchisotto, The Mathematical Experience, Study Edition, Birkhäuser, 2011.
Dirk De Bock (ed.), Modern Mathematics: An International Movement?, Springer, 2023.
Underwood Dudley, Mathematical Cranks, The Mathematical Association of America, 1996.
——— , The Trisectors, The Mathematical Association of America, 1996. Review
Raymond Flood and Robin Wilson, The Great Mathematicians
Timothy Gowers, Mathematics: A Very Short Introduction, Oxford Paperbacks, 2002. Review, Review
Paul R. Halmos, I Want to Be a Mathematician: An Automathography, Springer, New York, 1985.
——— , I Have a Photographic Memory, American Mathematical Society, 1987. [127]
G.H. Hardy, A Mathematician's Apology, with a Forward by C.P. Snow, Cambridge University Press, 1992 edition. [98] Webpage, Ebook, Ebook, Review
Michael Harris, Mathematics without Apologies: Portrait of a Problematic Vocation, Princeton University Press, 2015. Webpage, Webpage, Review, Review, Review, Review, Review, Review & Rebuttal, Review
Pamela E. Harris, Alicia Prieto-Langarica, Vanessa Rivera Quinones, Luis Sordo Vieira, Rosaura Uscanga and Andres R. Vindas Melendez (eds.), Testimonios: Stories of Latinx and Hispanic Mathematicians, ? American Mathematical Society, 2022.
Anna Maria Hartkopf and Erin Henning (eds.), Handbook Of Mathematical Science Communication, World Scientific, 2023.
Michael Hartl, The Tau Manifesto: No, really, pi is wrong, independent publication, 2021.
Reuben Hersh and Vera John-Steiner, Loving and Hating Mathematics: Challenging the Myths of Mathematical Life
Nicolas Higham, Handbook of Writing for the Mathematical Sciences
Ioan James, Remarkable Mathematicians: From Euler to von Neumann, Cambridge University Press, 2003. Review, Review
Maximillian Janisch and Thomas Drisch, Moi un phénomène ? : L'université à 10 ans : facile !
Boris A. Khesin and Serge L. Tabachnikov (eds.), Arnold: Swimming Against the Tide
Donald E. Knuth, Tracy Larrabee and Paul M. Roberts, Mathematical Writing, The Mathematical Association of America, 1996. Review
Stephen G. Krantz, A Primer of Mathematical Writing, The Mathematical Association of America, 1997. Review
——— , Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical, The Mathematical Association of America, 2002. Review, 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 Survival of a Mathematician: From Tenure-track to Emeritus, American Mathematical Society, 2009. Review
——— , The Proof is in the Pudding: The Changing Nature of Mathematical Proof
——— , A Mathematician Comes of Age, The Mathematical Association of America, 2012. Review
Leslie Lamport, LATEX: a Document Preparation System : User's Guide and Reference Manual, LATEX 2E edition, Addison Wesley, 1994.
Alexander Masters, The Genius in my Basement
Charlene Morrow and Teri Perl (eds.), Notable Women in Mathematics: A Biographical Dictionary, Greenwood Press, 1998. Review
Karen Olsson, The Weil Conjectures: On Maths and the Pursuit of the Unknown, Bloomsbury Publishing, 2019. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review (1.7MB)
Ken Ono and Amir D. Aczel, My Search for Ramanujan: How I Learned to Count
Philip Ording, 99 Variations on a Proof, Princeton University Press, 2019. Review, Review, Review, Review
John Allen Paulos, A Numerate Life: A Mathematician Explores the Vagaries of Life, His Own and Probably Yours
Luetta Reimer and Wilbert Reimer, Mathematicians are People Too: Stories from the Lives of Great Mathematicians, vol. 1
Gian-Carlo Rota (Fabrizio Palombi, ed.), Indiscrete Thoughts (Modern Birkhäuser Classics)
Jacques Roubaud (transl. Ian Monk), Mathematics (A Novel), Dalkey Archive Press, 2012, Review
David Ruelle, The
Mathematician's Brain
Leila Schneps (ed.), Alexandre Grothendieck: A Mathematical Portrait
Joel Segel (ed.), Recountings: Conversations with MIT Mathematicians
Ian Stewart, Letters to a Young Mathematician, Basic Books, US, 2006. Review, Review, Review, Review
Steven Strogatz, The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math
Anna Kepes Szemerédi (ed.), Art in the Life of Mathematicians
Nick Lloyd Trefethen, An Applied Mathematician's Apology, Society for Industrial and Applied Mathematics, 2022. Review, Review
Cédric Villani, Théorème Vivant
Charles Wells, A Handbook of Mathematical Discourse
Norbert Wiener, Ex-Prodigy. My Childhood and Youth, Simon and Schuster, New York, 1953.
Norbert Wiener, I Am a Mathematician, Victor Gollanz, London, 1956.
Jessica Wynne, Do Not Erase: Mathematicians and Their Chalkboards, Princeton University Press, 2021. Webpage, Review, Review, Review
Robin V. Young (ed.), Notable
Mathematicians from Ancient Times to the Present
Women
in mathematics
Biographies of women mathematicians are listed with the other biographies. It is worth mentioning that the MAA Reviews catalogue has Women in Mathematics as a search category and appears to be very comprehensive. More links for Women in Mathematics here.
Carolina Araujo, Georgia Benkart, Cheryl Praeger and Betül Tanbay (eds.), World Women in Mathematics 2018: Proceedings of the First World Meeting for Women in Mathematics (WM)2, Springer, 2019.
Robyn Arianrhod, Seduced by Logic: Émilie Du Châtelet, Mary Somerville and the Newtonian Revolution
Michèle Audin, Remembering Sofya Kovalevskaya, Springer, 2016. Review, Review, Review
Bettye Anne Case and Anne M. Leggett (eds.), Complexities: Women in Mathematics
Janet L. Beery, Sarah J. Greenwald, Jacqueline A. Jensen-Vallin and Maura B. Mast (eds.), Women in Mathematics: Celebrating the Centennial of the Mathematical Association of America, Springer, 2017. 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.
Eugenia Cheng, x+y: A Mathematician's Manifesto for Rethinking Gender, Profile Books, 2020. Review, Review, Review, Review, Review
Roger Cooke, The Mathematics of Sonya Kovalevskaya, Springer, reprint edition, 2011. Review
Jason Fagone, The Woman Who Smashed Codes: A True Story of Love, Spies, and the Unlikely Heroine Who Outwitted America's Enemies, Dey Street Books, 2018. Q&A, Review, Review, Review, Review, Review
Sarah Flannery with David Flannery, In Code: A Mathematical Journey
Jacky Fleming, The Trouble With Women
Judy Green and Jeanne LaDuke, Pioneering Women in American Mathematics: The Pre-1940 PhD's, American Mathematical Society/London Mathematical Society, 2009. Review
Louise S. Grinstein and Paul J. Campbell, Women of Mathematics: A Biobibliographic Sourcebook, Greenwood Press, 1987.
Claudia Henrion, Women in Mathematics: The Addition of Difference, Indiana University Press, 1997. Review, Review
Nathalia Holt, Rise of the Rocket Girls: The Women Who Propelled Us, from missiles to the Moon to Mars
Sara N. Hottinger, Inventing the Mathematician: Gender, Race, and Our Cultural Understanding of Mathematics
Judith E. Jacobs, Joanne Rossi Becker and Gloria F. Gilmer, Changing the Faces of Mathematics: Perspectives on Gender
Claire G. Jones, Femininity, Mathematics and Science 1880-1914
Patricia Clark Kenschaft, Change is Possible: Stories of Women and Minorities in Mathematics (amsns AMS non-series title)
Anita T. Layton and? Laura A. Miller (eds.), Women in Mathematical Biology: Research Collaboration Workshop, NIMBioS, Knoxville, June 2015, Springer, 2017.
Danica McKellar, Maths Doesn't Suck: How to survive year 6 through year 9 maths without losing your mind or breaking a nail
——— , Kiss My Math: Showing Pre-Algebra Who's Boss
——— , Hot X: Algebra Exposed!, Plume, paperback edition, 2010. Review, Review
——— , Girls Get Curves: Geometry Takes Shape
Heather Mendick, Masculinities in Mathematics, Open University Press, 2006.
Annabel Monaghan, A Girl Named Digit, Graphia Books, 2013. Review, Review
Charlene Morrow and Teri Perl (eds.), Notable Women in Mathematics: A Biographical Dictionary, Greenwood Press, 1998. Review
Margaret A. M. Murray, Women Becoming Mathematicians: Creating a Professional Identity in Post-world War II America
Helmut Neunzert, Iris Runge: A Life at the Crossroads of Mathematics, Science, and Industry, Birkhäuser, 2012. Review, Review
Deborah Nolan (ed.), Women in Mathematics: Scaling the Heights, Mathematical Association of America, 1997. Review
Lynn M. Osen, Women in Mathematics
Laura Micheletti Puaca, Searching for Scientific Womanpower: Technocratic Feminism and the Politics of National Security, 1940-1980, The University of North Carolina Press, 2014. Review
Margot Lee Shetterly, Hidden Figures: The Untold Story of the African American Women Who Helped Win the Space Race
Rachel Swaby, Headstrong: 52 Women Who Changed Science-And the World
——— , Trailblazers: 33 Women in Science Who Changed the World
Sheila Tobias, Overcoming Math Anxiety
Hiroshi Yuki (transl. Tony Gonzalez), Math Girls
——— (transl. ———), Math Girls2: Fermat's Last Theorem
Valerie Walkerdine, Counting Girls Out: Girls and Mathematics, Routledge, 2nd edition, 1998.
Jill Paton Walsh, A Piece of Justice
Talithia Williams, Power in Numbers: The Rebel Women of Mathematics, Race Point Publishing, 2018.
Philosophy, Psychology, Sociology
Ron Aharoni, Mathematics, Poetry And Beauty, World Scientific Publishing Company, 2015. Review
Robyn Arianrhod, Einstein's Heroes: Imagining the World Through the Language of Mathematics
Zvi Artstein, Mathematics and the Real World: The Remarkable Role of Evolution in the Making of Mathematics
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
Paul Benacerraf and Hilary Putnam (eds.), Philosophy of Mathematics: Selected Readings, Cambridge University Press, 2nd edition, 1984.
David Bessis (transl. Kevin Frey), Mathematica: A Secret World of Intuition and Curiosity, Yale University Press, 2024. Review, Review, Review, Review
Jo Boaler, Mathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching
James Robert Brown, Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, Routledge, 2nd edition, 2008. Review
John P. Burgess, Fixing Frege, Princeton University Press, 2005. Review, Review
———, Rigor and Structure
——— and Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics
Brian Butterworth, The Mathematical Brain
William Byers, How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics, Princeton University Press, 2007. Review, Review, Review
———, Deep Thinking: What Mathematics Can Teach Us About The Mind
John Byl, The Divine Challenge: Matter, Mind, Math and Meaning, The Banner of Truth Trust, 2004. Review
Gregory Chaitin, Exploring Randomness, Springer-Verlag, 2000. Review
Jean-Pierre Changeux and Alain Connes (transl. Malcolm DeBevoise), Conversations on Mind, Matter, and Mathematics
Michael Suk-Young Chwe, Jane Austen, Game Theorist
A. Connes, A. Lichnerowicz, M. P. Schützenberger (transl. Jennifer Gage), Triangle of Thoughts, American Mathematical Society, 2001. Review, Review
B. Jack Copeland, Carl J. Posy and Oron Shagrir (eds.) Computability: Turing, Gödel, Church, and Beyond
David Corfield, Towards a Philosophy of Real Mathematics, Cambridge University Press, 2003. Review, Review
E. Brian Davis, Why Beliefs Matter: Reflections on the Nature of Science
Richard Dawid, String Theory and the Scientific Method
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
A. K. Dewdney, A Mathematical Mystery Tour: Discovering the Truth and Beauty of the Cosmos
Persi Diaconis and Brian Skyrms, Ten Great Ideas About Chance, Princeton University Press, 2017. Review, Review, Review, Review, Review, Review
Apostolos Doxiadis and C.H. Papadimitriou, (illustr. A. Papadatos and A. Di Donna), Logicomix: An Epic Search for Truth
Apostolos Doxiadis and Barry Mazur, Circles Disturbed: The Interplay of Mathematics and Narrative, Princeton University Press, 2012. Review, Review
Marcus du Sautoy, What We Cannot Know
José Ferreirós, Mathematical Knowledge and the Interplay of Practices, Princeton University Press, 2016. Review
Michael Fitzgerald and Ioan James, The Mind of the Mathematician, The Johns Hopkins University Press, 2007. Review
Bonnie Gold and Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy
Misha Gromov, Great Circle of Mysteries: Mathematics, the World, the Mind, Birkhäuser, 2018. Review, Review
Emily R. Grosholz, Representation and Productive Ambiguity in Mathematics and the Sciences, Oxford University Press, 2007. Review
Eric Gutstein, Reading and Writing the World with Mathematics: Toward a Pedagogy for Social Justice, Routledge, 2005. Review
Andrew Hacker, The Math Myth, And Other STEM Delusions, The New Press, 2016. Review, Review
Ian Hacking, Why Is There Philosophy of Mathematics At All?, Cambridge University Press, 2014. Review, Review, Review
Jacques Hadamard, The Mathematician's Mind: The Psychology of Invention in the Mathematical Field, Princeton University Press; Reprint edition, 1996. Ebook
Joel David Hamkins, Lectures on the Philosophy of Mathematics, MIT Press, 2021.
Reuben Hersh, What is Mathematics, Really?, Oxford University Press, 1999. Review, Review
——— , 18 Unconventional Essays on the Nature of Mathematics, Springer; 2005. Review, Review, Review
——— , Experiencing Mathematics: What Do We Do, When We Do Mathematics?, American Mathematical Society, 2014. Review
John Horgan, The End of Science: Facing the Limits of Knowledge in the Twilight of the Scientific Age, Helix Books, 1996. Review
Sabine Hossenfelder, Lost in Math: How Beauty Leads Physics Astray, Basic Books, 2018. Webpage, Review, Review, Review, Review, Review & Rebuttal, Review, Review, Review, Review, Review, Review, Review, Review
Juliette Kennedy (ed.), Interpreting Gödel: Critical Essays, Cambridge University Press, 2017.
David Rapport Lachterman, The Ethics of Geometry: Genealogy of Modernity, Routledge, 1989.
Imre Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, edited by Worrall and Zahar, Cambridge University Press, 1976. [26] Review
George Lakoff and Rafael E. Núñez, Where Mathematics Comes from: How the Embodied Mind Brings Mathematics into Being, Basic Books, 2000. Review, Review, Review
Shaughan Lavine, Understanding the Infinite, Harvard University Press, 1994. Review
Snezana Lawrence, Mathematical Meditations, A K Peters/CRC Press, 2025.
——— and Mark McCartney (eds.), Mathematicians and their Gods: Interactions between mathematics and religious beliefs, Oxford University Press, 2015. Review, Review, Review
Mario Livio, Is God a Mathematician?
Paul Lockhart, A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form, Bellevue Literary Press, 2009. Webpage, Review, Review, Review, Review, Review, Review
Penelope Maddy, The Logical Must: Wittgenstein on Logic
Paolo Mancosu, The Philosophy of Mathematical Practice, Oxford University Press, paperback edition, 2012. Review
Joseph Mazur, Zeno's Paradox: Unraveling the Ancient Mystery Behind the Science of Space and Time
Clive N Menhinick, The Fibonacci Resonance and other new Golden Ratio discoveries, OnPerson International Ltd., 2015. Review, Review
Helmut Neunzert, Iris Runge: A Life at the Crossroads of Mathematics, Science, and Industry, Birkhäuser, 2012. Review, Review
Roland Omnès, Converging Realities: Toward a Common Philosophy of Physics and Mathematics
Cathy O'Neil, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy
Fabrice Pataut (ed.), Truth, Objects, Infinity: New Perspectives on the Philosophy of Paul Benacerraf, Springer, 2016. Review
John Allen Paulos, Mathematics and Humour, University of Chigago Press, 1990.
Daniel Pearcy, Mathematical Beauty: What is Mathematical Beauty and Can Anyone Experience It?, John Catt Educational Ltd, 2020.
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
——— , Fashion, Faith, and Fantasy in the New Physics of the Universe
Hilary Putnam, Philosophy of Logic, Routledge, re-edition, 2011.
——— , (Mario de Caro and David Macarthur, eds.), Philosophy in an Age of Science: Physics, Mathematics and Skepticism
Jason Rosenhouse, The Failures of Mathematical Anti-Evolutionism, Cambridge University Press, 2022.
Wesley C. Salmon (ed.), Zeno's Paradoxes
Charles Seife, Proofiness: How You're Being Fooled by the Numbers, Penguin, 2011. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review
James Byrnie Shaw, Lectures on the Philosophy of Mathematics, Leopold Classic Library reprint edition, 2015. Ebook
Alan Sokal and Jean Bricmont, Intellectual Impostures
Alma Steingart, Axiomatics: Mathematical Thought and High Modernism, University of Chicago Press, 2023. Review
Francis Su, Mathematics for Human Flourishing, Yale University Press, 2020. Review, Review, Review, Review, Review, Review
Fenner Stanley Tanswell, Mathematical Rigour and Informal Proof, Cambridge University Press, 2024.
Vladimir Tasić, Mathematics and the Roots of Postmodern Thought
Palle Yourgrau, A World without Time: The Forgotten Legacy of Gödel and Einstein, Basic Books, 2006. Review, Review
Alfred North Whitehead and Bertrand Russell, Principia Mathematica - Volume One, Merchant Books reprint, 2009. Review (of 1910 edition)
Alec Wilkinson, A Divine Language: Learning Algebra, Geometry, and Calculus at the Edge of Old Age, ? Farrar, Straus and Giroux, 2022. Review, Review, Review, Review, Review
Jacek Woźny, How We Understand Mathematics: Conceptual Integration in the Language of Mathematical Description, Springer, 2019
Mathematics and the Arts
Related books are also to be found under history.
Emmanuel Amiot, Music Through Fourier Space: Discrete Fourier Transform in Music Theory, Springer, 2016. [93] Review, Review
Bülent Atalay, Math and the Mona Lisa: The Art and Science of Leonardo Da Vinci
Dave Benson, Music: A Mathematical Offering, Cambridge University Press, 2006. [93] Ebook
Jay Bonner, Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Construction, Springer, 2017. Review
Robert Bosch, Opt Art: from Mathematical Optimization to Visual Design, Princeton University Press, 2019. Review, Review, Review, Review
Claude P. Bruter (ed.), Mathematics and Art: Mathematical Visualization in Art and Education, Springer, 2002. Review, Review
Jéröme Cottanceau, Les maths font leur cinéma - De Will Hunting à Imitation Game: De Will Hunting à Imitation Game, DUNOD, 2021.
Annalisa Crannell, Marc Frantz and Fumiko Futamura, Perspective and Projective Geometry, Princeton University Press, 2019. Review, Review, Review
Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, 2013. Review, Review, Review
Samuel Y. Edgerton, The Heritage of Giotto's Geometry: Art and Science on the Eve of the Scientific Revolution, Cornell University Press, 1991. Ebook, Review, Review
John Fauvel, Raymond Flood and Robin Wilson (eds.), Music and Mathematics: From Pythagoras to Fractals, Oxford University Press, 2003. [106] Review, Review
Kristóf Fenyvesi and Tuuli Lähdesmäki (eds.), Aesthetics of Interdisciplinarity: Art and Mathematics, Birkhäuser; 1st ed. 2017. Review
Marc Frantz and Annalisa Crannell, Viewpoints: Mathematical Perspective and Fractal Geometry in Art, Princeton University Press, 2011. Review
Lyn Gamwell, Mathematics and Art: A Cultural History, Princeton University Press, 2015. Review, Review, Review, Review, Review
Leon Harkleroad, The Math Behind the Music, Cambridge University Press, 2006. Review, Review, Review
Sarah Hart, Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature, Mudlark, 2023. Review, Review, Review
Sasho Kalajdzievski, Math and Art, 2nd Edition, Routledge/CRC 2021. Review, Review (1st edition)
Eli Maor, Music by the Numbers: From Pythagoras to Schoenberg, Princeton University Press, 2018. Review, Review, Review
Gerhard Nierhaus, Algorithmic Composition: Paradigms of Automated Music Generation, Springer, 2009. Review, Review
——— (ed.), Patterns of Intuition: Musical Creativity in the Light of Algorithmic Composition, Springer, 2015.
Stephen Ornes, Math Art: Truth, Beauty, and Equations, Sterling, 2019.
Gareth E. Roberts, From Music to Mathematics: Exploring the Connections, Johns Hopkins University Press, 2016. Review, Review
Katherine Seaton, A Stitch in Line: Mathematics and One-Stitch Sashiko, A K Peters/CRC Press, 2024.
Anna Kepes Szemerédi, Art in the Life of Mathematicians, American Mathematical Society, 2015. Review, Review
Robert Tubbs, Mathematics in Twentieth-Century Literature and Art: Content, Form, Meaning, Johns Hopkins University Press, 2014.
Brian Wichmann and David Wade, Islamic Design: A Mathematical Approach, Birkhäuser, 2017. Review, Review
David Wright, Mathematics and Music, American Mathematical Society, 2009.
Mathematical mountains: popular accounts of landmark problems/solutions
These have been arranged alphabetically, except for a few general books:
Piergiorgio Odifreddi, The Mathematical Century: The 30 Greatest Problems of the Last 100 Years, transl. Arturo Sangalli, Princeton University Press, (new edition) 2006. Review, Review
Ian Stewart, The Great Mathematical Problems, Profile Books, 2013 (also published as Visions of Infinity). Review, Review
Tom Wright, Trolling Euclid: An Irreverent Guide to Nine of Mathematics' Most Important Problems, CreateSpace Independent Publishing Platform, 2016. Webpage, Review
Catalan's Conjecture
Yuri Bilu, Yann Bugeaud and Maurice Mignotte, The Problem of Catalan
Paulo Ribenboim, Catalan's Conjecture: Are 8 and 9 the Only Consecutive Powers?
René Schoof, Catalan's Conjecture, Springer-Verlag London, 2008. [118] Review
Classification of the Finite Simple Groups
Mark Ronan, Symmetry and the Monster: One of the Greatest Quests of Mathematics, Oxford University Press, 2006. [253] Review, Review
Marcus du Sautoy, Symmetry: A Journey Into the Patterns of Nature
Fermat's Last Theorem
Amir D. Aczel, Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem, paperback edition, Thunder's Mouth Press, 2007. Review
Eric Temple Bell, The Last Problem
Paulo Ribenboim, 13 Lectures on Fermat's Last Theorem
——— , Fermat's Last Theorem for Amateurs
Takeshi Saito (transl. Masato Kuwata), Fermat's Last Theorem: Basic Tools, American Mathematical Society, 2013.
Simon Singh, Fermat's Last Theorem, (also published as Fermat's Enigma) HarperPerennial, 2007 reissue. [9] Review, Review, Review, Review, Review
Ian Stewart and David Tall, Algebraic Number Theory and Fermat's Last Theorem, 3rd edition, 2001.
Alfred J. van der Poorten, Notes on Fermat's Last Theorem
The Four Colour Theorem
Rudolf Fritsch and Gerda Fritsch (transl. Julie Peschke) The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
Robert A. Wilson, Graphs, Colourings and the Four-colour Theorem, Oxford University Press, 2002. Review
Robin J. Wilson, Four Colors Suffice: How the Map Problem Was Solved (Revised Color Edition)
The Greek Impossibilities
Underwood Dudley, The Trisectors, 2nd edition, Mathematical Association of America, 1996.
Arthur Jones, Sidney A. Morris and Kenneth R. Pearson, Abstract Algebra and Famous Impossibilities, Springer-Verlag, New York, 1991.
Hilbert's Problems
Jeremy J. Gray, The Hilbert Challenge: A Perspective on Twentieth Century Mathematics
Yuri Matiyasevich, Hilbert's 10th Problem, MIT Press, 1993. [43]
M. Ram Murty and Brandon Fodden, Hilbert's Tenth Problem, American Mathematical Society, 2019. [43] Review
Wilfried Sieg, Hilbert's Programs and Beyond
Terence Tao, Hilbert's Fifth Problem and Related Topics, American Mathematical Society, 2014.
Benjamin H. Yandell, The Honors Class: Hilbert's Problems and Their Solvers, AK Peters, 2001. Review, Review
Kepler's Conjecture
Thomas C. Hales and Samuel P. Ferguson, The Kepler Conjecture: The Hales-Ferguson Proof, Springer, 2011.
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. [101] Review, Review
The Millennium Problems
J. Carlson, A. Jaffe, and A. Wiles (eds.), The Millennium Prize Problems, American Mathematical Society, 2006. Ebook, Review
Keith Devlin, The Millennium Problems: The Seven Greatest
Unsolved Mathematical Puzzles of Our Time
P=NP?
Lance Fortnow, The Golden Ticket: P, NP, and the Search for the Impossible
The Poincaré Conjecture
Donal O’Shea, The Poincaré Conjecture: In Search of the Shape of the Universe
George Szpiro, Poincare's
Prize: The Hundred-year Quest to Solve One of Math's Greatest Puzzles
Masha Gessen, Perfect Rigour: A Genius and the Mathematical Breakthrough of the Century
James Carlson (ed.), The Poincare Conjecture, American Mathematical Society, 2014.
The Quintic Equation
Mario Livio, The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry
Peter Pesic, Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability
The Riemann Hypothesis
John Derbyshire, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, Plume Books, 2004. [232] Review
Barry Mazur and William Stein, Prime Numbers and the Riemann Hypothesis
Dan Rockmore, Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers, Vintage Books USA, 2006. Review, Review, Review
Karl Sabbagh, Dr.Riemann's Zeros
Marcus du Sautoy, The Music of the Primes: Why an Unsolved Problem in Mathematics Matters, HarperPerennial, 2004 edition. Review, Review, Review, Review, Review
Roland van der Veen, Jan van de Craats, The Riemann Hypothesis: A Million Dollar Problem
Popular Writing
David Acheson, 1089 and All That - A Journey into Mathematics
———, The Calculus Story: A Mathematical Adventure, Oxford University Press, 2017. Review
———, The Wonder Book of Geometry: A Mathematical Story, Oxford University Press, 2020. Review, Review
———, The Spirit of Mathematics: Algebra and All That, Oxford University Press, 2023. Review
Amir D. Aczel, Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe
———, Finding Zero: A Mathematician's Odyssey to Uncover the Origins of Numbers
Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, American Mathematical Society, 2004. [166, 240] Review
———, Zombies and Calculus
Rob Ainsley, The Bluffer's Guide to Maths: Bluff Your Way in Maths, Bluffer's Guides, 1998.
Meike Akveld and Andrew Jobbings, Knots Unravelled: From String to Mathematics
Lara Alcock, Mathematics Rebooted: A Fresh Approach to Understanding, Oxford University Press, 2017. Review, Review
Claudi Alsina and Roger B. Nelsen, Icons of Mathematics: An Exploration of Twenty Key Images, Mathematical Association of America, 2011. Review
——— and ———, Charming Proofs: A Journey into Elegant Mathematics
Avner Ash and Robert Gross, Fearless Symmetry: Exposing the Hidden Patterns of Numbers, Princeton University Press, 2006. [34, 51] Review, Review, Review
——— and ———, Elliptic Tales: Curves, Counting, and Number Theory, Princeton University Press, 2012. Review, Review
——— and ———, Summing It Up: From One Plus One to Modern Number Theory
Tomaso Aste and Denis Weaire, The Pursuit of Perfect Packing, Second Edition
V.K. Balakrishnan, Graph Theory: Including Hundreds of Solved Problems (Schaum), McGraw-Hill Publishing Co., 1997.
Philip Ball, Patterns in Nature: Why the Natural World Looks the Way It Does, University of Chigago Press, 2016. Review
Robert B. Banks, Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics, Princeton University Press, new edition 2013. Review, Review
Avner Bar-Hen and Quentin Lazzarotto, Dingue de maths: Du pénalty à la météo, décoder le réel, EPA, 2021.
John Barnes, Gems of Geometry, Springer, 2nd Edition, 2012. Review, Review
———, Nice Numbers, Birkhäuser, 2016. Review, Review, Review
Milo Beckman, Math Without Numbers, Allen Lane, 2020. Review, Review
Ehrhard Behrends (transl. D. Kramer), Five-Minute Mathematics
Jennifer Beineke and Jason Rosenhouse (eds.), The Mathematics of Various Entertaining Subjects: Research in Recreational Math, Princeton University Press, 2015. Review, Review
——— and ———, The Mathematics of Various Entertaining Subjects, vol. 2: Research in Games, Graphs, Counting, and Complexity
Alex Bellos, Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math
———, Alex's Adventures in Numberland
———, Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life, Bloomsbury Publishing, 2014. Review, Review, Review, Review, Review
———, The Grapes of Math: How Life Reflects Numbers and Numbers Reflect Life
Arthur T. Benjamin, The Magic of Maths
——— and Ezra Brown (eds.), Biscuits of Number Theory, The Mathematical Association of America , 2009.
Donald C. Benson, The Moment of Proof: Mathematical Epiphanies
Alex Berke, Beautiful Symmetry: A Coloring Book about Math, MIT Press, 2020. Ebook, Review, Review, Review
Elwyn R. Berlekamp, John H. Conway and Richard K. Guy, Winning Ways for Your Mathematical Plays, Volume 1
——— , ——— and ——— , Winning Ways for Your Mathematical Plays, Volume 4, Routledge; 2nd edition, 2004. [266]
Colin Beveridge, Cracking Mathematics: You, this book and 4,000 years of theories, Cassell, 2016. Review
———, The Maths Behind...
Jo Boaler, What's Math Got to Do with It?: How Teachers and Parents Can Transform Mathematics Learning and Inspire Success
Anthony Bonato, Dots and Lines: Hidden Networks in Social Media, AI, and Nature, Johns Hopkins University Press, 2025.
William B. Bonnor, The Mystery of the Expanding Universe; The Humorous, Caustic, and Illuminating Story of What Men Think about their Exploding World
Alexandre V. Borovik, Mathematics Under the Microscope: Notes on Cognitive Aspects of Mathematical Practice, American Mathematical Society, 2010. Review, Review
Michael Brooks, The Art of More: how mathematics created civilisation, Scribe UK, 2021.
John Bryant and Chris Sangwin, How Round Is Your Circle?: Where Engineering and Mathematics Meet, Princeton University Press, 2011. Webpage, Review, Review, Review
Edward B. Burger and Michael Starbird, The Heart of Mathematics: An Invitation to Effective Thinking
——— and ———, Coincidences, Chaos and All That Math Jazz, W W Norton, 2005. Review
Chris Caldwell and G. L. Honaker, Jr., Prime Curios
Tina Cardone and MTBoS, Nix the Tricks: A guide to avoiding shortcuts that cut out math concept development, CreateSpace Independent Publishing Platform, 2013. Ebook, Review
Sean B. Carroll, A Series of Fortunate Events: Chance and the Making of the Planet, Life, and You, Princeton University Press, 2020. Review, Review, Review, Review
John L Casti, Five Golden Rules: Great Theories of 20th Century Mathematics and Why They Matter, John Wiley, 1997. [18]
Marc Chamberland, Single Digits: In Praise of Small Numbers
Gengzhe Chang and Thomas W. Sederberg, Over and Over Again, Mathematical Association of America, 1998. [71,124] Review
Tim Chartier, Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing
Eugenia Cheng, How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics
——— , Beyond Infinity: An expedition to the outer limits of the mathematical universe, Profile Books, 2017. Review, Review, Review, Review
——— , The Art of Logic: How to Make Sense in a World that Doesn't, Profile Books, 2018. Review, Review, Review
——— , The Joy of Abstraction: An Exploration of Math, Category Theory, and Life, Cambridge University Press, 2022. Review, Review
——— , Is Maths Real? How Simple Questions Lead Us to Mathematics’ Deepest Truths, Profile Books, 2023. Review, Review
Tom Chivers, Everything is Predictable: How Bayes' Remarkable Theorem Explains the World, W & N, 2024. Review
Aubrey Clayton, Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science, Columbia University Press, 2021.
John H. Conway and Richard K. Guy, The Book of Numbers, Copernicus, 1996. [222]
——— and Derek A. Smith, On Quaternions and Octonions, A K Peters, 2003. [61] Review, Review
——— , Heidi Burgiel and Chaim Goodman-Strauss, The Symmetries of Things
William J. Cook, In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation, Princeton University Press, 2012. Review, Review, Review, Review, Review
Tony Crilly, 50 Mathematical Ideas You Really Need to Know, Quercus Publishing, London 2007.
——— , The Big Questions: Mathematics, Quercus Publishing, 2011. Review
Susan D'Agostino, How to Free Your Inner Mathematician: Notes on Mathematics and Life, Oxford University Press, 2020.
Miguel de Guzmán, Aventures mathématiques, PU Polytechnique, 1993. [18, 22]
Jean-Marie De Koninck, Those Fascinating Numbers, American Mathematical Society, 2009. [112] Review, Review
Keith Devlin, The Language of Mathematics: Making the Invisible Visible, W.H.Freeman & Co Ltd, 2000. Review
Hans van Ditmarsch and Barteld Kooi, One Hundred Prisoners and a Light Bulb
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. Review
——— , The Trisectors, The Mathematical Association of America, 1996.
——— , Is Mathematics Inevitable?, The Mathematical Association of America, 2008. Webpage
William Dunham, Journey Through Genius: Great Theorems of Mathematics, John Wiley & Sons, 1990. [76]
——— (ed.), The
Genius of Euler: Reflections on His Life and Work
Marcus du Sautoy, The Number Mysteries
———, How to Count to Infinity (Little Ways to Live a Big Life), Quercus, 2017. Review, Review
———, Thinking Better: The Art of the Shortcut, Fourth Estate, 2021. Review, Review, Review
Freeman Dyson, Birds and Frogs: Selected Papers of Freeman Dyson, 1990-2014
Richard Earl, Topology: A Very Short Introduction, Oxford University Press, 2019.
Rob Eastaway, Much Ado About Numbers, Allen & Unwin, 2024. Review
——— & Jeremy Wyndham, Why Do Buses Come in Threes?: The Hidden Maths of Everyday Life, Robson Books Ltd, paperback edition, 2005. Review, Review, Review, Review
——— & ———, How Long is a Piece of String? More Hidden Mathematics of Everyday Life
——— & John Haigh, The Hidden Mathematics of Sport, Portico, 2011. Review, Review
Jordan Ellenberg, How Not to Be Wrong: The Power of Mathematical Thinking, Penguin Press, 2014. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review
———, Shape: The Hidden Geometry of Absolutely Everything, Allen Lane, 2021. AuthorQ&A, Review, Review, Review, Review
Andrew C.A. Elliott, Is That a Big Number?, Oxford University Press, 2018. Review, Review, Review
Richard Elwes, How to Build a Brain: And 34 Other Really Interesting Uses of Mathematics
——— , Chaotic Fishponds and Mirror Universes: The Maths That Governs Our World
Hans Magnus Enzensberger (transl. Michael Henry Heim), The Number Devil: A Mathematical Adventure
Martin Erikson, Beautiful Mathematics, Mathematical Association of America, 2011. Review
Kyle D. Evans, Maths Tricks to Blow Your Mind: A Journey Through Viral Maths, Allen & Unwin, 2021. Review
Steven Finch, Mathematical Constants, Cambridge University Press, 2003. [144] Webpage, Review
Sarah Flannery with David Flannery, In Code: A Mathematical Journey
David Flannery, The Square Root of 2: A Dialogue Concerning a Number and a Sequence, Copernicus Press, paperback edition, 2010. Review, Review, Review
Marianne Freiberger and Rachel Thomas, Understanding Numbers, White Lion Publishing, 2019.
Edward Frenkel, Love and Math
Hannah Fry, The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation, TED Books, 2015. Review
——— and Thomas Oléron Evans, The Indisputable Existence of Santa Claus: the Mathematics of Christmas
Ioanna Georgiou and Asuka Young (illustrator), Peculiar Deaths of Famous Mathematicians, Tarquin Publications, 2022.
Paulus Gerdes, Geometry from Africa. Mathematical and educational explorations
Étienne Ghys, A singular mathematical promenade, École Normale Supérieure, 2017. Webpage, Ebook, Review, Review, Review, Review
Rebecca Goldstein, Incompleteness: The Proof and Paradox of Kurt Gödel, W. W. Norton & Company, 2005. Review, Review, Review
Alain Goriely, Applied Mathematics: A Very Short Introduction, Oxford University Press, 2018. Review, Review
Andrew Granville, Jennifer Granville, drawn by Robert J. Lewis, Prime Suspects: The Anatomy of Integers and Permutations, Princeton University Press, 2019.
David J. Hand, The Improbability Principle: Why coincidences, miracles and rare events happen all the time
Tim Harford, How to Make the World Add Up: Ten Rules for Thinking Differently About Numbers, The Bridge Street Press, 2020, republished in US as The Data Detective: Ten Easy Rules to Make Sense of Statistics, Riverhead Books, 2021. Review, Review, Review, Review, Review, Review, Review, Review, Review
Sam Hartburn, Ben Sparks and Katie Steckles, Maths 100 Ideas in 100 Words: A Whistle-Stop Tour of Key Concepts, DK, 2024.
Julian Havil, Gamma: Exploring Euler's Constant, Princeton University Press, 2003. Review, Review, 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
Brian Hayes, Foolproof, and Other Mathematical Meditations, MIT Press, 2017. Review, Review
Jim Henle, The Proof and the Pudding: What Mathematicians, Cooks, and You Have in Common
John M. Henshaw, An Equation for Every Occasion: Fifty-Two Formulas and Why They Matter
Diane L. Herrmann and Paul J. Sally Jr, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory
Dick Hess, Golf on the Moon: Entertaining Mathematical Paradoxes and Puzzles, Dover Publications, 2014. Review
Peter M. Higgins, Mathematics For The Curious
———, Number Story: From Counting to Cryptography
———, Nets, Puzzles, and Postmen: An exploration of mathematical connections
———, Numbers: A Very Short Introduction, Oxford University Press, 2011. Review, Review
Peter Hilton, Derek Holton and Jean Pedersen, Mathematical Reflections: In a Room with Many Mirrors, Springer, 1998. Review
———, ——— and ———, Mathematical Vistas: From a Room with Many Windows, Springer, 2002. Review
Peter Hilton and Jean Pedersen, with illustrations by Sylvie Donmoyer, A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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
Vincent Icke, The Force of Symmetry, Cambridege University Press, 1995.
Dan Kalman, Uncommon Mathematical Excursions: Polynomia and Related Realms, The Mathematical Association of America, 2009.
Ellen Kaplan and Robert Kaplan, The Art of the Infinite: The Pleasures of Mathematics
Edward Kasner and James R. Newman, Mathematics and the Imagination, Dover reprint edition, 2003. Webpage
T. W. Körner, The Pleasures of Counting
Thomas Koshy, Fibonacci and Lucas Numbers with Applications, John Wiley & Sons, 2001.
——— , Catalan Numbers with Applications
——— , Triangular Arrays with Applications
——— , Pell and Pell-Lucas Numbers with Applications
Leon M. Lederman and Christopher T. Hill, Symmetry and the Beautiful Universe, Prometheus Books, 2008. Review, Review
Carl E. Linderholm, Mathematics Made Difficult, Wolfe Publishing, 1972. Webpage
D.V. Lindley, Making Decisions, 2nd edition, John Wiley and Sons Ltd, 1985. [10]
Richard J. Lipton, The P=NP Question and Gödel's Lost Letter, Springer, New York, 2010.
——— and Kenneth W. Regan, People, Problems, and Proofs: Essays from Godel's Lost Letter: 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
Peter Lynch, Thats Maths: The Mathematical Magic in Everyday Life, Gill Books, 2016. Review
——— , That's Maths II: A Ton of Wonders, lulu.com, 2020. Review, Review
Desmond MacHale, Comic Sections: Book of Mathematical Jokes, Humour, Wit and Wisdom, Boole Press Ltd, 1993. Review, Review
Dana Mackenzie, The Universe in Zero Words: The Story of Mathematics as Told through Equations
Eli Maor, "e", The Story of a Number, Princeton University Press, 1998 edition. [136]
———, Trigonometric Delights
——— and Eugen Jost, Beautiful Geometry
Christopher Maslanka, Professor Percival Pinkerton's Most Perplexing Puzzles
——— (illustr. Michael Harrington), The Pyrgic Puzzler: Classic Conundrums, Dover Publications edition, 2012.
Barry Mazur, Imagining Numbers: (Particularly the Square Root of Minus Fifteen)
Joseph Mazur, Euclid in the Rainforest: Discovering the Universal Truth in Logic and Math
——— , What's Luck Got to Do with It? The History, Mathematics, and Psychology of the Gambler's Illusion
——— , Fluke: The Maths and Myths of Coincidences
Danica McKellar, Maths Doesn't Suck: How to survive year 6 through year 9 maths without losing your mind or breaking a nail
——— , Kiss My Math: Showing Pre-Algebra Who's Boss
——— , Hot X: Algebra Exposed!
——— , Girls Get Curves: Geometry Takes Shape
Liz McMahon, Gary Gordon, Hannah Gordon and Rebecca Gordon, The Joy of Set: The Many Mathematical Dimensions of a Seemingly Simple Card Game
T.S. Michael, How to Guard an Art Gallery and Other Discrete Mathematical Adventures
Melanie Mitchell, Complexity: A Guided Tour
Leonard Mlodinow, Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace, Penguin paperback edition, 2003. Review (1.6MB), Review, Review, Review, Review
David Mumford, Caroline Series, David Wright, Indra's Pearls: The Vision of Felix Klein
Paul J. Nahin, Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills, Princeton University Press, 2006. [36] Review, Review, Review
——— , Duelling Idiots and Other Probability Puzzlers, Princeton University Press, reissue 2012. Review, Review
——— , Digital Dice: Computational Solutions to Practical Probability Problems
——— , Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability
Vicky Neale, Closing the Gap: The Quest to Understand Prime Numbers, Oxford University Press, 2017. [151] Webpage, Review, Review, Review, Review, Review, Review
Barbara Oakley, A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Cathy O'Neil, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy
Ben Orlin, Math with Bad Drawings: Illuminating the Ideas That Shape Our Reality, Black Dog & Leventhal, 2018. Webpage, Review, Review, Review
———, Change Is the Only Constant: The Wisdom of Calculus in a Madcap World, Black Dog & Leventhal, 2019. Review
———, Math Games with Bad Drawings, Black Dog & Leventhal, 2022. Author Q&A, Review, Review
———, Math for English Majors: A Human Take on the Universal Language, Black Dog & Leventhal, 2024. Review, Review
Jennifer Ouellette, The Calculus Diaries
Antonio Padilla, Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity, Allen Lane, 2022. Review, Review
Sam Parc (ed.), 50 Visions of Mathematics
Giorgio Parisi (transl. Simon Carnell), In a Flight of Starlings: The Wonder of Complex Systems, Allen Lane, 2023. Review, Review, Review
Matt Parker, Things to Make and Do in the Fourth Dimension
———, Humble Pi: A Comedy of Maths Errors, Allen Lane, 2019. Review, Review, Review
———, Love Triangle: The Life-changing Magic of Trigonometry, Allen Lane, 2024. Review, Review
John Allen Paulos, A Mathematician Reads the Newspaper: Making Sense of the Numbers in the Headlines, Basic Books, 1999. Review
———, Innumeracy: Mathematical Illiteracy and Its Consequences, Penguin, reprint edition, 2000. Review, Review, Review
———, A Mathematician Plays the Market
Roger Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe, Vintage, 2005. [37, 121] Review
——— , Fashion, Faith, and Fantasy in the New Physics of the Universe
David Perkins, Phi, Pi, E, and I, MAA Press, 2017. Review
Cliff Pickover, The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology, Basic Books, 2007.
———, The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics
———, The Mathematics Devotional
Burkard Polster, Q.E.D.: Beauty in Mathematical Proof, Wooden Books Ltd, 2006.
———, The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes, American Mathematical Society, 2006. [263] Review, Review, Review
——— and Marty Ross, A Dingo Ate My Math Book: Mathematics from Down Under, American Mathematical Society, 2018. Review, Review (3.2MB), Review
Alfred S. Posamentier and Ingmar Lehmann, Pi: A Biography of the World's Most Mysterious Number
———, The Fabulous Fibonacci Numbers
Alfred S. Posamentier, The Pythagorean Theorem: The Story of Its Power and Beauty
William Poundstone, Prisoner's Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bomb
George Pólya, How to Solve it: A New Aspect of Mathematical Method, Penguin, new edition 1990. Review, Review
Constance Reid, From Zero to Infinity: What Makes Numbers Interesting, A K Peters/CRC Press; 5th revised edition, 2006. Review, Review
Timothy Revell, Man vs Maths: Understanding the curious mathematics that power our world
Paulo Ribenboim, Fermat's Last Theorem for Amateurs
———, The Little Book of Bigger Primes
David S. Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, Princeton University Press, 2008. [26, 37] Review, Review, Review, Review, Review, Review
Mark Ronan, Symmetry and the Monster: One of the Greatest Quests of Mathematics, Oxford University Press, 2006. [253] Review, Review
Anne Rooney, 50 Amazing Things Kids Need to Know About Mathematics
Raphael Rosen, Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Jason Rosenhouse and Laura Taalman, Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle
Rudy Rucker, Infinity and the Mind, Birkhauser, 1982. Webpage
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.
Sam L. Savage, The Flaw of Averages: Why We Underestimate Risk in the Face of Uncertainty
Edward R. Scheinerman, The Mathematics Lover's Companion: Masterpieces for Everyone
Richard E. Schwartz, You Can Count on Monsters: The First 100 Numbers and Their Characters
———, Really Big Numbers
———, Gallery of the Infinite
———, Life on the Infinite Farm, American Mathematical Society, 2018. Review
Marjorie Senechal, Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, Springer, 2013. [140] Review, Review
Shai Simonson, Looking for Math in All the Wrong Places: Math in Real Life, Spectrum, 2022. Review
Simon Singh, The Simpsons and Their Mathematical Secrets
David Singmaster, Problems for Metagrobologists: A Collection of Puzzles with Real Mathematical, Logical or Scientific Content, World Scientific Publishing Company, 2016. Review, Review, Review
———, Adventures In Recreational Mathematics, Vols. 1 and 2, World Scientific, 2021.
Gary Smith, What the Luck?
Raymond Smullyan, 5000 B.C. and Other Philosophical Fantasies
———, To Mock a Mockingbird: and Other Logic Puzzles
———, The Lady or the Tiger? And Other Logic Puzzles, Dover Publications Inc., 2009.
———, What is the Name of This Book? The Riddle of Dracula and Other Logical Puzzles
Ed Southall and .Vincent Pantaloni, Geometry Snacks, Tarquin Publications, 2017. Review, Review
Adam Spencer, Adam Spencer's Book of Numbers: A Bizarre and Hilarious Journey from 1 to 100
David Spiegelhalter, The Art of Statistics: Learning from Data, Pelican, 2019. Review, Review, Review, Review, Review, Review, Review
———, The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck, Pelican, 2024.
Katie Steckles (editor), Short Cuts: Maths: Navigate Your Way Through the Big Ideas, Icon Books, 2023. Review
Sherman Stein, How the Other Half Thinks: Adventures in Mathematical Reasoning
Hugo Steinhaus, One Hundred Problems in Elementary Mathematics
———, Mathematical Snapshots, Dover Publications, 2000. [77]
Ian Stewart, Does God Play Dice?: The New Mathematics of Chaos, 2nd edition, Penguin, 1997.
——— , Why Beauty is Truth: The History of Symmetry, Basic Books, 2008. [90] Review
——— , Symmetry: A Very Short Introduction, Oxford University Press, 2013. Review, Review
——— , Seventeen Equations that Changed the World
——— , Professor Stewart's Incredible Numbers
——— , Calculating the Cosmos: How Mathematics Unveils the Universe
——— , The Beauty of Numbers in Nature: Mathematical patterns and principles from the natural world
——— , Infinity: A Very Short Introduction, Oxford University Press, 2017. Review, Review, Review, Review, Review
——— , Do Dice Play God?: The Mathematics of Uncertainty, Profile Books, 2020. Review
John Stillwell, Roads to Infinity: The Mathematics of Truth and Proof, AK Peters, 2010. Review, Review, Review
——— , Elements of Mathematics: From Euclid to Gödel, Princeton University Press, 2016. Review, Review, Review, Review
David Stipp, A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
Steven Strogatz, Sync: The Emerging Science of Spontaneous Order, Penguin 2004. Review, Review, Review, Review, Review, Review, Review, Review
——— , The Joy of X: A Guided Tour of Math, from One to Infinity, Eamon Dolan/Houghton Mifflin Harcourt, 2012. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review
——— , Infinite Powers: The Story of Calculus - The Language of the Universe, Atlantic Books, 2019. Review, Review, Review, Review, Review
David Sumpter, The Ten Equations that Rule the World: And How You Can Use Them Too, Allen Lane, 2020. Review, Review, Review
Manil Suri, The Big Bang of Numbers: How to Build the Universe Using Only Maths, Bloomsbury Publishing, 2022. Author Intro, Review
Jeff Suzuki, Patently Mathematical: Picking Partners, Passwords, and Careers by the Numbers, Johns Hopkins University Press, 2019. Review, Review
Marta Sved, Journey into Geometries, The Mathematical Association of America, 1997. Review
Daina Taimiņa, Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore, Second Edition, A K Peters/CRC Press, 2018. Review, Review, Review (all of 2009 1st edition)
Terence Tao, Solving Mathematical Problems: A Personal Perspective, Oxford University Press, 2nd edition 2006. Review, Review
Max Tegmark, Our Mathematical Universe: My Quest for the Ultimate Nature of Reality, Allen Lane, 2014. Review, Review, Review, Review
Rachel Thomas and Marianne Freiberger, Numericon: A Journey through the Hidden Lives of Numbers
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Henk Tijms, Surprises in Probability, Routledge, 2018. Review, Review
Glen Van Brummelen, Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry
——— , Trigonometry: A Very Short Introduction, Oxford University Press, 2020.
Hans Walser (translated Peter Hilton), The Golden Section, Mathematical Association of America 2001. Review
Leonard M. Wapner, The Pea and the Sun: A Mathematical Paradox
John Watkins, Across the Board: The Mathematics of Chessboard Problems, Princeton University Press, 2018. Review, Review, Review, Review
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——— , Secrets of Creation, Volume 2: The Enigma of the Spiral Waves
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Reviews by The Mathematical Association of America