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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. Website, Review, Review, Review, Review

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

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.

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

 

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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, John Wiley & Sons,1999. Review

Rebecca Goldstein, The Mind-Body Problem, Penguin reprint, 1993. Review, Review, Review, Review, Review

Denis Guedj, The Parrot's Theorem, Weidenfeld & Nicolson, 2000 (originally Le Théorème du Perroquet, Editions du Seuil, Paris, 1998). Review, Review

Mark Haddon, The Curious Incident of the Dog in the Night-time, Vintage, 2004. Webpage, Review, Review, Review, Review, Review

Matt Haig, The Humans, Canongate Books Ltd, 2013. Webpage, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

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

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, Vintage, 2015.

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, Hodder Paperbacks, 2006. Review

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.

 

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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

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.

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]

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.)

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

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, 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, Review

Thomas Little Heath (ed.), The Works of Archimedes: Edited in Modern Notation with Introductory Chapters, Cambridge University Press, reprint edition, 2009. [233]

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), Dover reprint edition, 2017. Review, Review (of 1917 edition)

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)

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

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

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)

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, University of California Press, 2016. Review

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, Springer New York, 2002. Review, Review, Review, Review

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

Robin J. Wilson, Stamping Through Mathematics, Springer 2001. Review, Review

——— and John J. Watkins (eds.), Combinatorics: Ancient & Modern, OUP, 2013. [242] Review, Review

 

Jump to Top

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, iUniverse, Inc., 2005. Review

[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, American Mathematical Society, 2014. Review

[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, Particular Books, 2015. Review, Review, Review, Review

[ ——— ] Doron Swade, The Cogwheel Brain: Charles Babbage and the quest to build the first computer, Little, Brown and Company, 2000. Review

[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, American Mathematical Society, 3rd edition, 2011. Webpage, Review, Review

[ ——— ] Roman Kaluza (transl. A. Kostant and Wojbor A. Woyczynski), Through a Reporter's Eyes: The Life of Stefan Banach, Birkhauser, 2005.

[Bers, Lipman] Linda Keen, Irwin Kra, and Rubí E. Rodriguez (eds.), Lipman Bers, a Life in Mathematics, American Mathematical Society, 2015. Review

[Boole, George] Desmond MacHale, The Life and Work of George Boole: A Prelude to the Digital Age, new edition, Cork University Press, 2014. Review (1st ed.), Review

[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..., High Stakes Publishing, 2007. Review, Review

[ ——— ] 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, Springer, 2012. Review

[Cantor, Georg ] Amir D. Aczel, The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity, Washington Square Press, paperback edition, 2001.

[ ——— ] 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, Springer-Verlag, New York, 1991. Review (17MB)

[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 , Lutterworth Press, 2002. Review (2MB)

[Conway, John Horton] Siobhan Roberts, Genius At Play: The Curious Mind of John Horton Conway , Bloomsbury USA, 2015. Review, Review, Review, Review, Review, Review, Review, Review, Review

[Courant, Richard] Constance Reid, Hilbert–Courant, Springer reprint edition, 1986.

[Coxeter, Donald] Siobhan Roberts, King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry, Profile Books Ltd, 2007. Webpage, Review, Review, Review, Review, Review

[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, A K Peters/CRC Press, 2011. Review, Review

[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, Cambridge University Press, March 2006. Review (5.5MB)

[ ——— ] 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, Faber and Faber, 2010. Review, Review

[ ——— ] Abraham Pais, Maurice Jacob, David I. Olive and Michael F. Atiyah, Paul Dirac: The Man and his Work, Cambridge University Press, 1998. Review

[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, Harper Perennial, 1983. Review

[ ——— ] 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 , St. Martin's Griffin, 2014. Review

[Einstein, Albert] Denis Brian, Einstein: A Life, John Wiley & Sons, 1997. Review, Review

[ ——— ] Ronald Clark, Einstein: The Life and Times, Harper Paperbacks edition, 2011. Review, Review

[ ——— ] 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, Pocket Books edition, 2008. Review, Review

[ ——— ] Thomas Levenson, Einstein in Berlin, Bantam USA, 2004. Review

[ ——— ] Jürgen Neffe (transl. Shelley Frisch), Einstein: A Biography, Polity Press. Review, Review

[ ——— ] Abraham Pais, Subtle Is the Lord: The Science and the Life of Albert Einstein , Oxford University Press, new paperback edition, 2005. Review

[ ——— ] 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.

[Feynman, Richard Phillips] Michelle Feynman (ed.), Perfectly Reasonable Deviations from the Beaten Track: The Letters of Richard P. Feynman, Basic Books, 2005. Review$

[ ——— ] Richard Feynman with Ralph Leighton, Surely You're Joking Mr Feynman: Adventures of a Curious Character, Vintage, 1992.

[ ——— ] James Gleick, Genius: Richard Feynman and Modern Physics, Abacus, 1993.

[ ——— ] 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, W. W. Norton & Company, paperback reprint, 1996.

[Fibonacci = Leonardo Pisano] Keith Devlin, The Man of Numbers: Fibonacci's Arithmetic Revolution , Bloomsbury Paperbacks, 2012. Review, Review, Review

[ ——— ] ———, Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World, Princeton University Press, 2017. Review, Review, Review, Review, Review

[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, Oxford University Press, new edition, 2012. Review, Review, Review, Review

[ ——— ] David Wootton, Galileo: Watcher of the Skies, Yale University Press, 2013. Webpage, Review, Review, Review, Review, Review

[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, Princeton University Press, 2013. Review, Review

[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, A K Peters, 1997. [14] Review

[ ——— ] 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, Society for Industrial and Applied Mathematics; 2nd revised edition, 1987. Review (13MB)

[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, International Press of Boston Inc, bilingual edition, 2014. Review

[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, William Collins, 2017. Review

[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, Clarendon Press, 1966. Ebook (vols. 1,3,6,7)

[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, Abacus, paperback edition 2003. Review

[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, William Collins, 2017. Review

[ ——— ] Lisa Jardine, The Curious Life of Robert Hooke: The Man who Measured London, Harper Perennial, 2004. Review

[Hypatia of Alexandria] Michael A. B. Deakin, Hypatia of Alexandria: Mathematician and Martyr, Prometheus Books, 2007. Review

[Kac, Mark] Mark Kac, Enigmas of Chance: An Autobiography, University of California Press, reprint edition, July 1992. Review

[Kelvin, Lord = Thomsom, William] Raymond Flood, Mark McCartney and Andrew Whitaker (eds.), Kelvin: Life, Labours and Legacy, Oxford University Press, 2008. Review, Review

[ ——— ] 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, Forge Books, 2002. Review

[Kreisel, Georg] Piergiorgio Odifreddi (ed.), Kreiseliana: About and Around Georg Kreisel, A K Peters/CRC Press, 1996. Review

[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, American Mathematical Society, 2015. Review

Leonardo of Pisa: see Fibonacci

[Lie, Sophus] Arild Stubhaug (translated R. Daly), The Mathematician Sophus Lie: It was the Audacity of My Thinking, Springer, paperback edition 2010. Review, Review

[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 , Gibson Square Books Ltd, 2013. Review, Review, Review, Review, Review

[ ——— ] Sydney Padua, The Thrilling Adventures of Lovelace and Babbage: The (Mostly) True Story of the First Computer, Particular Books, 2015. Review, Review, Review, Review

[ ——— ] 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, A K Peters, Ltd., May 25, 2005. Review

[Mandelbrot, Benoit] Benoit B. Mandelbrot, The Fractalist: Memoir of a Scientific Maverick, Pantheon Books, 2012. Review, Review, Review

[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, John Wiley & Sons, 2004. Review

[Milne, Edward Arthur] Meg Weston Smith, Beating the Odds: The Life and Times of E. A. Milne, World Scientific, 2013.

[Mosteller, Charles Frederick] Frederick Mosteller, The Pleasures of Statistics: The Autobiography of Frederick Mosteller, Springer, 2010. Review

[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, Princeton University Press, 2014. Review, Review, Review

[Nash, John Forbes] Harold W. Kuhn and Sylvia Nasar (eds.), The Essential John Nash, Princeton University Press, 2007. Review, Review

[ ——— ] Sylvia Nasar, A Beautiful Mind, Faber & Faber, paperback edition, 2002. Webpage, Review, Review, Review, Review

[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, Pantheon Books, 2003. Review

[Noether, Amelie ('Emmy')] Auguste Dick (transl. H. I. Blocher), Emmy Noether 1882-1935, Birkhäuser Boston Inc., Cambridge, Mass., 1981. Review

[ ——— ] 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, A.K. Peters 2008. Review, Review

[Norton, Simon] Alexander Masters, The Genius in my Basement, Forth Estate, 2011. Review

[Ono, Kenneth] Ken Ono and Amir D. Aczel, My Search for Ramanujan: How I Learned to Count, Springer, 2016. Review, Review, Review

[Osgood, William Fogg] Diann R. Porter, William Fogg Osgood at Harvard: Agent of a Transformation of Mathematics in the United States, Docent Press, 2013. 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, Springer, 2012. Review, Review

[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, Springer, 2016. Review, Review, Review

[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, Editions Odile Jacob, 1997. English translation (Leila Schneps), A Mathematician Grappling with His Century, Birkhäuser, 2001. Review, Review, Review

[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, Simon & Schuster, 2017. Review, Review

[Shimura, Goro] Goro Shimura, The Map of My Life, Springer, 2008. Review, Review

[Smale, Stephen] Steve Batterson, Stephen Smale: The Mathematician Who Broke the Dimension Barrier, AMS, 2000. Review, Review

[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, Canopus Publishing, 2004. Review, Review

[ ——— ] Kathryn A. Neeley, Mary Somerville: Science, Illumination, and the Female Mind, Cambridge University Press, 2001. Review, Review

[ ——— ] 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, American Mathematical Society, 2016. Review

[ ——— ]  ——— ,——— ,——— ,——— , Selected Works of Richard P. Stanley, American Mathematical Society, 2017.

[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, Cambridge University Press, 2004. Review, Review

[ ——— ] Andrew McFarland, Joanna McFarland and James Smith (eds.), Alfred Tarski: Early Work in Poland – Geometry and Teaching, Birkhäuser; 2014. Review

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, Elsevier, 2013. Review, Review, Review (4.6MB)

[ ——— ] B. Jack Copeland (ed.), The Essential Turing, Oxford University Press, 2004. [186] Review

[ ——— ]  ——— , Turing: Pioneer of the Information Age, Oxford University Press, 2012. Review, Review, Review

[ ——— ]  ——— , Jonathan Bowen, Mark Sprevak and Robin J Wilson, The Turing Guide, Oxford University Press, 2016. Webpage, Review, Review, Review, Review, Review, Review, Review (8.5MB), Review, Review, Review

[ ——— ] 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, Springer, 2003.

[ ——— ] Dermot Turing, Prof: Alan Turing Decoded, The History Press, 2015.

[ ——— ] 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, Birkhaüser, 2014. Review, Review, Review

[Volterra, Vito] Judith R. Goodstein, The Volterra Chronicles: The Life and Times of an Extraordinary Mathematician 1860-1940, American Mathematical Society, 2007. Review (2.8MB)

[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, Basic Books, 2005. Review

[ ——— ] Norbert Wiener, I Am a Mathematician, Victor Gollanz, London, 1956.

[Wren, Christopher] James A. Bennett, The Mathematical Science of Christopher Wren, Cambridge University Press, 2002.

[ ——— ] Lisa Jardine, On a Grander Scale: The Outstanding Career of Sir Christopher Wren, HarperCollins, 2002. Review

[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, Springer, Berlin, 2007. Review

 

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The profession and practice of mathematics

Amir D. Aczel, A Strange Wilderness: The Lives of the Great Mathematicians, Sterling, 2011. Review

Donald J. Albers and Gerald L. Alexanderson, Mathematical People: Profiles and Interviews, A.K. Peters, 2008. Review, Review

 ——— and  ———, Fascinating Mathematical People: Interviews and Memoirs, Princeton University Press, 2011. Review, Review

Lara Alcock, How to Study for a Mathematics Degree, Oxford University Press, 2012. Review

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, Princeton University Press, 2009. Review, Review

Richard Courant and Herbert Robbins, revised by Ian Stewart, What is Mathematics?: An Elementary Approach to Ideas and Methods, Oxford University Press Inc, 2nd Revised, 1996. Review

John W. Dawson Jr, Why Prove it Again?: Alternative Proofs in Mathematical Practice, Birksäuser, 2015. Review

Philip J. Davis, The Education of a Mathematician, A K Peters, 2000. Review

——— , Unity and Disunity and Other Mathematical Essays, American Mathematical Society, 2015.

——— , 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, Arcturus Publishing, 2011.

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, Princeton University Press, 2010. Review, Review

Nicolas Higham, Handbook of Writing for the Mathematical Sciences, Society for Industrial and Applied Mathematics; 2 edition, 1998.

Ioan James, Remarkable Mathematicians: From Euler to von Neumann, Cambridge University Press, 2003. Review, Review

Maximillian Janisch and Thomas Drisch, Moi un phénomène ? : L'université à 10 ans : facile !, Favre, 2015.

Boris A. Khesin and Serge L. Tabachnikov (eds.), Arnold: Swimming Against the Tide, American Mathematical Society, 2014. Review

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, Springer, 2011. Review

——— , 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, Forth Estate, 2011. Review

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, Springer, 2016. Review

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, Prometheus Press, 2015. Review, Review

Luetta Reimer and Wilbert Reimer, Mathematicians are People Too: Stories from the Lives of Great Mathematicians, vol. 1, and Vol 2, Seymour (Dale) Publications, 1998. Review

Gian-Carlo Rota (Fabrizio Palombi, ed.), Indiscrete Thoughts (Modern Birkhäuser Classics), Birkhäuser, Boston, 1997. Review

Jacques Roubaud (transl. Ian Monk), Mathematics (A Novel), Dalkey Archive Press, 2012, Review

David Ruelle, The Mathematician's Brain, Princeton University Press, 2007. Review, Review, Review, Review

Leila Schneps (ed.), Alexandre Grothendieck: A Mathematical Portrait, International Press of Boston Inc, bilingual edition, 2014. Review

Joel Segel (ed.), Recountings: Conversations with MIT Mathematicians, A K Peters/CRC Press, 2009. Review

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, Princeton University Press, paperback edition, 2011. Review, Review, Review

Anna Kepes Szemerédi (ed.), Art in the Life of Mathematicians, American Mathematical Society, 2015. Review, Review

Cédric Villani, Théorème Vivant, (in French), Librairie generale francaise, 2013. Review, Review; English translation (Malcolm DeBevoise), Birth of a Theorem: A Mathematical Adventure, Bodley Head, 2015. Review, Review, Review, Review, Review, Review, Review, Review

Charles Wells, A Handbook of Mathematical Discourse, Infinity Publishing, 2003. Review

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, Gale, 1998.

 

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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, Oxford University Press, 2012. Review, Review, Review, Review

Michèle Audin, Remembering Sofya Kovalevskaya, Springer, 2016. Review, Review, Review

Bettye Anne Case and Anne M. Leggett (eds.), Complexities: Women in Mathematics, Princeton University Press, 2005. Webpage, Review, Review, Review, Review

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, Profile Books, 2000. Review, Review, Review, Review

Jacky Fleming, The Trouble With Women, Square Peg, 2016.

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, Back Bay, 2017. Review, Review, Review, Review, Review

Sara N. Hottinger, Inventing the Mathematician: Gender, Race, and Our Cultural Understanding of Mathematics, State University of New York Press, 2016. AuthorQ&A, Review, Review

Judith E. Jacobs, Joanne Rossi Becker and Gloria F. Gilmer, Changing the Faces of Mathematics: Perspectives on Gender, National Council of Teachers of Mathematics, 2001. Review

Claire G. Jones, Femininity, Mathematics and Science 1880-1914, Palgrave Macmillan, 2009.

Patricia Clark Kenschaft, Change is Possible: Stories of Women and Minorities in Mathematics (amsns AMS non-series title) , American Mathematical Society, 2005. Review

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, Particular Books, 2008. Review, Review

——— , Kiss My Math: Showing Pre-Algebra Who's Boss, New American Library, 2009. Review, Review

——— , Hot X: Algebra Exposed!, Plume, paperback edition, 2010. Review, Review

——— , Girls Get Curves: Geometry Takes Shape, Plume Books, 2012. Review

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, MIT Press, 2000. Webpage, Review, Review

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, MIT Press, 2017.

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, William Collins, 2016. Review, (of the Theodore Melfi film: Review)

Rachel Swaby, Headstrong: 52 Women Who Changed Science-And the World, Broadway Books, 2015. Review, Review, Review, Review, Review, Review

——— , Trailblazers: 33 Women in Science Who Changed the World, Random House, 2016. Review

Sheila Tobias, Overcoming Math Anxiety, W. W. Norton & Co., revised edition, 1994. Review

Hiroshi Yuki (transl. Tony Gonzalez), Math Girls, Bento Books, Inc, 2011. Review

——— (transl. ———), Math Girls2: Fermat's Last Theorem, Bento Books, Inc, 2012. Review

Valerie Walkerdine, Counting Girls Out: Girls and Mathematics, Routledge, 2nd edition, 1998.

Jill Paton Walsh, A Piece of Justice, Hodder Paperbacks, 2006. Review

Talithia Williams, Power in Numbers: The Rebel Women of Mathematics, Race Point Publishing, 2018.

 

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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, Icon Books, 2004. Review

Zvi Artstein, Mathematics and the Real World: The Remarkable Role of Evolution in the Making of Mathematics, Prometheus Books, 2014. Review, Review

Marcia Ascher, Mathematics Elsewhere: An Exploration of Ideas Across Cultures, Princeton University Press, 2002. Review

Ehrhard Behrends, Nuno Crato and José Francisco Rodrigues (Editors), Raising Public Awareness of Mathematics, Springer, 2012.

Jo Boaler, Mathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching, John Wiley, 2015.

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, Oxford University Press, 2015. Review

——— and Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics, Oxford University Press, 1999. Review, Review

Brian Butterworth, The Mathematical Brain, Macmillian 1999. Review, Review

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, World Scientific Publishing Company, 2014. Review

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, Princeton University Press, 1998. Review, Review, Review, Review

Michael Suk-Young Chwe, Jane Austen, Game Theorist, Princeton University Press, 2013. Review, Review & Rebuttal, Review

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, MIT Press, 2013.

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 , Oxford University Press, 2010.

Richard Dawid, String Theory and the Scientific Method, Cambridge University Press, 2013. Review (+ video summary), Review, Review, Review, Review

Stanislas Dehaene, The Number Sense: How the Mind Creates Mathematics, revised edition, Oxford University Press, USA, 2011. Review

Keith Devlin, The Maths Gene: Why Everyone Has It, But Most People Don't Use It, Phoenix, new edition 2001. Review, Review, Review

A. K. Dewdney, A Mathematical Mystery Tour: Discovering the Truth and Beauty of the Cosmos, John Wiley & Sons, 1999. Review

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, Bloomsbury, 2009. Review, Review (1.5MB)

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, Fourth Estate, 2016. Review, Review

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, Mathematical Association of America, 2008. Review

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. Review

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 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?, Simon & Schuster 2009. Review

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, Oxford University Press, 2015. Review

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, Plume, reprint (previously The Motion Paradox, 2007), 2008.

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, Princeton University Press, 2004. Review

Cathy O'Neil, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy, Allen Lane, 2016. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

John Allen Paulos, Mathematics and Humour, University of Chigago Press, 1990.

Roger Penrose, The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics, Oxford Paperbacks; New Ed, 1999. Review

 ——— , Shadows of the Mind: A Search for the Missing Science of Consciousness, Vintage, 1995. Review, Review, Review, Rebuttals

 ——— , Fashion, Faith, and Fantasy in the New Physics of the Universe, Princeton University Press, 2016. Review

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, Harvard University Press, 2012. Review, Review, Review, Review

Jason Rosenhouse, The Failures of Mathematical Anti-Evolutionism, Cambridge University Press, 2022.

Wesley C. Salmon (ed.), Zeno's Paradoxes, Hackett Publishing Co, updated edition, 2001.

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, Profile Books, paperback edition 2003. Review

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

Vladimir Tasić, Mathematics and the Roots of Postmodern Thought, Oxford University Press, 2001. Review

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

 

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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, Smithsonian Books, 2014. Review, Review

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

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

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.

Jump to Top

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, Springer, 2014. Review

Paulo Ribenboim, Catalan's Conjecture: Are 8 and 9 the Only Consecutive Powers?, Academic Press, New York, 1994. Review

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, Harper, 2008. Review; republished as Finding Moonshine: A Mathematician's Journey Through Symmetry Harper Perennial paperback edition, 2009. Review, Review, Review, Review

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, The Mathematical Association of America, updated edition with introduction by Underwood Dudley, 1998. Review

Paulo Ribenboim, 13 Lectures on Fermat's Last Theorem, Springer-Verlag Berlin and Heidelberg, 1979.

——— , Fermat's Last Theorem for Amateurs, Springer, 2nd printing, 2000. Review

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, Wiley-Blackwell, 2nd edition, 2014. Review, Review

The Four Colour Theorem

Rudolf Fritsch and Gerda Fritsch (transl. Julie Peschke) The Four-Color Theorem: History, Topological Foundations, and Idea of Proof, Springer, reprint edition, 2012.

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), Princeton University Press, 2013. [1] Review, Review, Review

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, Oxford University Press, 2000. Review, Review

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, Oxford University Press, 2013.

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, Basic Books, 2002. Review

P=NP?

Lance Fortnow, The Golden Ticket: P, NP, and the Search for the Impossible, Princeton University Press, 2013. Review, Review, Review, Review, Review

The Poincaré Conjecture

Donal O’Shea, The Poincaré Conjecture: In Search of the Shape of the Universe , Walker, 2007. Review (2.8MB), Review

George Szpiro, Poincare's Prize: The Hundred-year Quest to Solve One of Math's Greatest Puzzles , Dutton/Signet, 2007. Review (2.8MB)

Masha Gessen, Perfect Rigour: A Genius and the Mathematical Breakthrough of the Century, Icon Books Ltd, 2011. Review, Review

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, Souvenir Press Ltd, new edition, 2007. Review, Review

Peter Pesic, Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability, MIT Press, 2003. Review

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, Cambridge University Press, 2015. Website, Review, Review, Review, Review, Review

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, Atlantic Books, new edition, 2003. Review, Review, Review

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, The Mathematical Association of America, 2017. Review, Review

 

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David Acheson, 1089 and All That - A Journey into Mathematics, Oxford University Press, 2002. Review, Review, Review

———, 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, Broadway Books, paperback edition, Jan 2007. Review

———, Finding Zero: A Mathematician's Odyssey to Uncover the Origins of Numbers, Palgrave MacMillan Trade, 2015. Review, Review, Review, Review

Colin Adams, The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots, American Mathematical Society, 2004. [166, 240] Review

———, Zombies and Calculus, Princeton University Press, 2014. Review, Review, Review, Review, Review

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, Arbelos, 2011. Review, Review

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, Mathematical Association of America, 2011. Review, Review

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 , Princeton University Press, 2016. Review, Review, Review

Tomaso Aste and Denis Weaire, The Pursuit of Perfect Packing, Second Edition, CRC Press, 2008.

V.K. Balakrishnan, Graph Theory: Including Hundreds of Solved Problems (Schaum), McGraw-Hill Publishing Co., 1997.

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, American Mathematical Society, 2008.

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, Princeton University Press, 2017. Review, Review

Alex Bellos, Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math, Free Press, 2010. Review, Review, Review

 ———, Alex's Adventures in Numberland, Bloomsbury Publishing, paperback edition, 2011. Review, Review, Review

 ———, 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, Simon & Schuster, 2015. Review, Review, Review

Arthur T. Benjamin, The Magic of Maths, Basic Books, 2015. Review, Review, Review

——— and Ezra Brown (eds.), Biscuits of Number Theory, The Mathematical Association of America , 2009.

Donald C. Benson, The Moment of Proof: Mathematical Epiphanies, Oxford University Press, 2000. Review

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, A K Peters/CRC Press, 2nd edition, 2001. Webpage, Review (1st ed.), Review

——— , ——— 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..., Cassell, 2017. Review

Jo Boaler, What's Math Got to Do with It?: How Teachers and Parents Can Transform Mathematics Learning and Inspire Success, Penguin Books, revised paperback edition, 2015. Review (update), Review, Review, Review, Review, Review

William B. Bonnor, The Mystery of the Expanding Universe; The Humorous, Caustic, and Illuminating Story of What Men Think about their Exploding World, Macmillan, 1964. Ebook, Review

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, Key College Publishing; 2nd revised edition, 2004.

——— and  ———, Coincidences, Chaos and All That Math Jazz, W W Norton, 2005. Review

Chris Caldwell and G. L. Honaker, Jr., Prime Curios, BookSurge, 2009. Review

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, Princeton University Press, 2015. [239] Review, Review, Review

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, Princeton University Press, 2014. Review, Review, Review, Review, Review

Eugenia Cheng, How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics, Basic Books, 2015 (UK publication title Cakes, Custard and Category Theory, Profile books). Review, Review, Review, Review, Review, Review, Review, Review, Review

——— , 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

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, A.K. Peters, 2008. [160]. Review, Review, Review, Review, Review, Review

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]

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, Copernicus, 2015. Review

Heinrich Dörrie (transl. D. Antin), One Hundred Great Problems of Elementary Mathematics: Their History and Solution, Dover, reprint edition, 1965.

Underwood Dudley, Mathematical Cranks, The Mathematical Association of America, 1996. 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, The Mathematical Association of America, 2007. [134, 210, 238] Review

Marcus du Sautoy, The Number Mysteries, Forth Estate, 2010. Review, Review, Review, Review

———, 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, World Scientific, 2015. Review (5.6MB)

Richard Earl, Topology: A Very Short Introduction, Oxford University Press, 2019.

Rob Eastaway, Much Ado About Numbers, Allen & Unwin, 2024.

——— & 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, Robson Books Ltd, 2002. Review, Review

——— & 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, Quercus Publishing Plc, 2011. Review

——— , Chaotic Fishponds and Mirror Universes: The Maths That Governs Our World, Quercus Publishing Plc, 2013.

Hans Magnus Enzensberger (transl. Michael Henry Heim), The Number Devil: A Mathematical Adventure, Granta Books, 2008.

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, Profile Books, 2000. Review, Review, Review, Review

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, Basic Books, paperback edition, 2014. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

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, Doubleday, 2016. Review, Review

Ioanna Georgiou and Asuka Young (illustrator), Peculiar Deaths of Famous Mathematicians, Tarquin Publications, 2022.

Paulus Gerdes, Geometry from Africa. Mathematical and educational explorations, The Mathematical Association of America, 1999. Review

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, Bantam Press, 2014. Webpage, Review, Review, Review, Review

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

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, Princeton University Press, 2012. Review, Review, Review, Review, Review

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, Princeton University Press, 2015. Review, Review, Review, Review

John M. Henshaw, An Equation for Every Occasion: Fifty-Two Formulas and Why They Matter, Johns Hopkins University Press, 2014. Review

Diane L. Herrmann and Paul J. Sally Jr, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory, CRC Press, 2013. Review

Dick Hess, Golf on the Moon: Entertaining Mathematical Paradoxes and Puzzles, Dover Publications, 2014. Review

Peter M. Higgins, Mathematics For The Curious, Oxford University Press, USA, 1998.

 ———, Number Story: From Counting to Cryptography, Springer, 2008. Review

 ———, Nets, Puzzles, and Postmen: An exploration of mathematical connections, Oxford University Press, 2009.

 ———, 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, Cambridge University Press, 2010. Review

Ross Honsberger, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Mathematical Association of America, 1996. [55, 84]

H.E. Huntley, The Divine Proportion: A Study in Mathematical Beauty, Dover Publications, 1970. [165]

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, Bloomsbury Press, paperback edition, 2014. Review

Edward Kasner and James R. Newman, Mathematics and the Imagination, Dover reprint edition, 2003. Webpage

T. W. Körner, The Pleasures of Counting, Cambridge University Press, 1997. Review

Thomas Koshy, Fibonacci and Lucas Numbers with Applications, John Wiley & Sons, 2001.

——— , Catalan Numbers with Applications, Oxford University Press, 2008.

——— , Triangular Arrays with Applications, Oxford University Press, 2011.

——— , Pell and Pell-Lucas Numbers with Applications, Springer, 2014. Review, Review

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, Springer, 2013.

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, Princeton University Press, 2012. (Republished as The Story of Mathematics: in 24 Equations, Modern Books, 2018) Review (2MB), Review, Review, Review, Review

Eli Maor, "e", The Story of a Number, Princeton University Press, 1998 edition. [136]

 ———, Trigonometric Delights, Princeton University Press, paperback edition, 2002. [152] Review, Review

 ——— and Eugen Jost, Beautiful Geometry, Princeton University Press, 2014. Review

Christopher Maslanka, Professor Percival Pinkerton's Most Perplexing Puzzles, Orient Paperbacks edition, 2006.

——— (illustr. Michael Harrington), The Pyrgic Puzzler: Classic Conundrums, Dover Publications edition, 2012.

Barry Mazur, Imagining Numbers: (Particularly the Square Root of Minus Fifteen), Farrar, Straus and Giroux, 2003. Review

Joseph Mazur, Euclid in the Rainforest: Discovering the Universal Truth in Logic and Math, Plume, 2006. Review

——— , What's Luck Got to Do with It? The History, Mathematics, and Psychology of the Gambler's Illusion, Princeton University Press, 2010. Review, Review, Review, Review, Review, Review

——— , Fluke: The Maths and Myths of Coincidences, Oneworld Publications, 2016. Review, Review, Review

Danica McKellar, Maths Doesn't Suck: How to survive year 6 through year 9 maths without losing your mind or breaking a nail, Particular Books, 2008. Review, Review

——— , Kiss My Math: Showing Pre-Algebra Who's Boss, New American Library, 2009. Review, Review

——— , Hot X: Algebra Exposed!, Plume, paperback edition, 2010. Review, Review

——— , Girls Get Curves: Geometry Takes Shape, Plume Books, 2012. Review

Liz McMahon, Gary Gordon, Hannah Gordon and Rebecca Gordon, The Joy of Set: The Many Mathematical Dimensions of a Seemingly Simple Card Game, Princeton University Press, 2016. Review

T.S. Michael, How to Guard an Art Gallery and Other Discrete Mathematical Adventures, The Johns Hopkins University Press, 2009. Review

Melanie Mitchell, Complexity: A Guided Tour, Oxford University Press, 2009. Review

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, Cambridge University Press, New York, 2002. Review

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, Princeton University Press, reissue 2013. Review, Review

——— , Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability, Princeton University Press, 2013. Review, Review, Review, Review, Review

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), Tarcher, 2014. Review, Review

Cathy O'Neil, Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy, Allen Lane, 2016. Review, Review, Review, Review, Review

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

Jennifer Ouellette, The Calculus Diaries, Gerald Duckworth & Co. Ltd., 2013. Review

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, Oxford University Press, 2014.

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, Particular Books, 2014. Webpage, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

———, Humble Pi: A Comedy of Maths Errors, Allen Lane, 2019. Review, 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, Penguin, 2004.

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, Princeton University Press, 2016. Review

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, Sterling, 2009. French translation (Xavier Guesnu): Le Beau Livre des Maths - De Pythagore aux fractales, 250 découvertes qui ont changé le monde, Dunod, 2019.

 ———, The Mathematics Devotional, Sterling, 2014.

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, Prometheus, 2004.

 ———, The Fabulous Fibonacci Numbers, Prometheus, 2007.

Alfred S. Posamentier, The Pythagorean Theorem: The Story of Its Power and Beauty, Prometheus, 2010.

William Poundstone, Prisoner's Dilemma: John Von Neumann, Game Theory and the Puzzle of the Bomb, Anchor Booksn 1993. Review

George Pólya, How to Solve it: A New Aspect of Mathematical Method, Penguin, new edition 1990. Review, 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, Aurum Press Ltd, 2016. Review, Review

Paulo Ribenboim, Fermat's Last Theorem for Amateurs, Springer-Verlag, 1999. Review

 ———, The Little Book of Bigger Primes, 2nd edition, Springer-Verlag, 2004. [211, 241]

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, Quercus Publishing Plc, 2011. Review

Raphael Rosen, Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations, Adams Media Corporation, 2015.

Jason Rosenhouse and Laura Taalman, Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle, Oxford University Press, 2011. Review, Review

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, John Wiley & Sons, paperback edition, 2012. [201] Review

Edward R. Scheinerman, The Mathematics Lover's Companion: Masterpieces for Everyone, Yale University Press, 2017. Review, Review

Richard E. Schwartz, You Can Count on Monsters: The First 100 Numbers and Their Characters, A K Peters/CRC Press, 2010. Review

———, Really Big Numbers, American Mathematical Society, 2014. Review, Review, Review, Review, Review, Review, Review

———, Gallery of the Infinite, American Mathematical Society, 2016. Review

———, 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, Bloomsbury Publishing, 2013. Webpage, Review

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?, Duckworth Overlook, 2017. Webpage, Review

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———, To Mock a Mockingbird: and Other Logic Puzzles, Oxford Paperback edition, 2000. Webpage

———, 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, Dover Publications Inc., unabridged edition, 2011. Ebook, Review, Review

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, Four Walls Eight Windows, 2004. Review, Review

David Spiegelhalter, The Art of Statistics: Learning from Data, Pelican, 2019. Review, Review, Review, Review, Review, Review, Review

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, McGraw-Hill, 2001. Review

Hugo Steinhaus, One Hundred Problems in Elementary Mathematics, Dover Publications, 1990.

———, 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, Profile Books 2013. Review, Review, Review, Review, Review, Review (2MB), Review, Review, Review, Review

——— , Professor Stewart's Incredible Numbers, Profile Books, 2015. Review, Review, Review, Review

——— , Calculating the Cosmos: How Mathematics Unveils the Universe, Profile Books, 2016. Review, Review, Review, Review

——— , The Beauty of Numbers in Nature: Mathematical patterns and principles from the natural world, Ivy Press, 2017 (revised reissue of What Shape is a Snowflake?, Orion, 2001). Review, Review, Review

, Review

——— , 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, Basic Books, 2017. Review

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, Quercus Publishing Plc.

Trinh Xuan Thuan, Desir d'infini: des chiffres, des univers et des hommes, Fayard, 2013. [23]

Henk Tijms, Surprises in Probability, Routledge, 2018. Review, Review

Glen Van Brummelen, Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry, Princeton University Press, 2012. [37, 225] Review, Review

——— , 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, A K Peters, 232 pp, 2005. Review, Review, Review

John Watkins, Across the Board: The Mathematics of Chessboard Problems, Princeton University Press, 2018. Review, Review, Review, Review

Matthew Watkins (illustr. Matt Tweed), Secrets of Creation, Volume 1: The Mystery of the Prime Numbers, Liberalis, 2015. Webpage, Review, Review, Review, Review, Review, Review (of 2010 edition)

——— , Secrets of Creation, Volume 2: The Enigma of the Spiral Waves, Liberalis, 2015. Review (of 2010 edition)

——— , Secrets of Creation, Volume 3: Prime Numbers, Quantum Physics and a Journey to the Centre of Your Mind, Liberalis, 2015.

David Wells, You Are a Mathematician, Penguin, London, 1995.

 ——— , Prime Numbers: The Most Mysterious Figures in Math, John Wiley & Sons Inc, 1995. [21]

 ——— , The Penguin Dictionary of Curious and Interesting Numbers, Penguin revised edition, London, 1997. Webpage, Review, Review

Jason Wilkes, Burn Math Class: And Reinvent Mathematics for Yourself, Basic Books, 2016. Review

Michael Willers, The Joy of X: How Algebra Shapes Your Daily Life, Chambers, 2009.

Robin J. Wilson, Combinatorics: A Very Short Introduction, Oxford University Press, 2016. Review

——— , Euler's Pioneering Equation: The most beautiful theorem in mathematics, Oxford University Press, 2017. Review, Review, Review, Review

Kit Yates, The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives, Quercus Books, 2019. Review, Review, Review

——— , How to Expect the Unexpected: The Science of Making Predictions and the Art of Knowing When Not To, Quercus Books, 2023. Review, Review

Robert, M. Young, Excursions in Calculus: An Interplay of the Continuous and the Discrete, Mathematical Association of America, 1996. [170]

Christopher Zeeman, Three-dimensional Theorems for Schools, Mathematical Association, 2005.

Günter M. Ziegler, Do I Count: Stories from Mathematics, CRC Press, 2013.

 

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Textbooks

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 ———, ——— and  ———, How to Ace the Rest of Calculus: The Streetwise Guide, W.H.Freeman & Co Ltd, 2001. Review

Lars Ahlfors, Complex Analysis: An Introduction to The Theory of Analytic Functions of One Complex Variable, McGraw-Hill Higher Education, 3rd edition, 1978.

Martin Aigner, A Course in Enumeration, Springer 2007. [171] Review

——— , Markov's Theorem and 100 Years of the Uniqueness Conjecture: A Mathematical Journey from Irrational Numbers to Perfect Matchings, Springer 2013. Review

——— and Günter M. Ziegler, Proofs from THE BOOK, Springer-Verlag Berlin, 5th Edition, 2014. [94, 163] Webpage, Review, Review, Review

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David Angell, Irrationality and Transcendence in Number Theory, Chapman and Hall/CRC, 2021. Review

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——— (translated by Dmitry Fuchs & Mark Saul), Experimental Mathematics, MSRI Mathematical Circles Library, 2015.

Nathan Atshiller-Court, College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle, Dover reprint edition, 2007. Review

Steve Awodey, Category Theory, Oxford University Press, 2nd edition, 2010. Review, Review

Sheldon Axler, Linear Algebra Done Right, 4th Edition, Springer, 2023. Ebook, Review (3rd edition), Review (2nd edition)

John Bamberg and Tim Penttila, Analytic Projective Geometry, Cambridge University Press, 2023.

Edward J. Barbeau, Mathematical Fallacies, Flaws, and Flimflam, Mathematical Association of America, 2000. Review, Review

——— , More Fallacies, Flaws, and Flimflam, Mathematical Association of America, paperback edition 2015. Review, Review

William Barker and Roger Howe, Continuous Symmetry: From Euclid to Klein, American Mathematical Society, 2008. Review

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Sarah-Marie Belcastro, Discrete Mathematics with Ducks, Chapman and Hall/CRC, 2nd edition, 2020. Review (1st edition)

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——— (transl. Lester J. Senechal), Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry, Springer, 2010. Review, Review, Review

Chris Bernhardt, Turing's Vision: The Birth of Computer Science, MIT Press, 2017. Review, Review

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Jonathan M. Borwein, David H. Bailey and Roland Girgensohn, Experimentation in Mathematics: Computational Paths to Discovery, A K Peters, 2008. [147] Review, Review, Review

David M. Bressoud, Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture, Cambridge University Press, 1999. Review

——— , A Radical Approach to Real Analysis, 2nd edition, The Mathematical Association of America, 2007. [191, 217, 218, 267] Review

——— , A Radical Approach to Lebesgue's Theory of Integration, Cambridge University Press, 2008. [2] Review

——— , Calculus Reordered, Princeton University Press, 2019. Review, Review, Review, Review

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——— and Robert Tubbs, Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory, Springer, 2004. [167] Review

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Gary Chartrand, Linda Lesniak and Ping Zhang, Graphs & Digraphs, Fifth Edition, Chapman and Hall/CRC, 2010. [24, 230] Review

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——— and E.W. Wright (with additional material by D.R. Heath-Brown, J.H. Silverman and A. Wiles), An Introduction to the Theory of Numbers, OUP, 6th edition, 2008. [226]

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 ——— , Basic Real Analysis, Birkhauser Verlag, 2004, and Advanced Real Analysis, Birkhäuser Boston, 2005. [88] Ebooks

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——— and Harold R. Parks, A Primer of Real Analytic Functions, 2nd edition, Birkhäuser Verlag AG, 2002. [47]

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——— and ———,Computational Commutative Algebra 2, Springer, 2005.

——— and ———, Computational Linear and Commutative Algebra, Springer, 2016. [259] Review

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Christian Laforest, À la decouverte des graphes et des algorithmes de graphes, EDP Sciences, 2017. [1]

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James Lee, Axiomatic Geometry, American Mathematical Society, 2013. Review

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——— , Basic Probability: What Every Math Student Should Know, World Scientific, 2nd edition, 2021.

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——— , The Finite Simple Groups, Springer, 2009. Webpage, Review

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Monographs

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Jean-Paul Allouche and Jeffrey O. Shallit, Automatic Sequences: Theory, Applications, Generalizations, Cambridge University Press, 2003. Webpage, Review, Review, Review

Tsuneo Arakawa, Tomoyoshi Ibukiyama and Masanobu Kaneko, Bernoulli Numbers and Zeta Functions, Springer, 2014. [222] Review

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R.A. Bailey, Association Schemes: Designed Experiments, Algebra and Combinatorics, Cambridge University Press, paperback edition 2011. Review

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Eva Bayer-Fluckiger and David Lewis (eds.), Quadratic Forms and Their Applications: Proceedings of the Conference on Quadratic Forms and Their Applications, July 5-9, 1999, University College Dublin, American Mathematical Society, 2001. [79] Ebook

Stefan Behrens, Boldizsár Kalmár, Min Hoon Kim, Mark Powell and Arunima Ray (eds.), The Disc Embedding Theorem, Oxford University Press, 2021. Webpage, Review essay

Lowell W. Beineke and Robin J. Wilson (eds.), Topics in Chromatic Graph Theory, Cambridge University Press, 2015.

Lowell W. Beineke, Martin Charles Golumbic and Robin J. Wilson (eds.), Topics in Algorithmic Graph Theory, Cambridge University Press, 2021.

Arno Berger and Theodore P. Hill, An Introduction to Benford's Law, Princeton University Press, 2015. Review, Review

Bruce Berndt, Number Theory in the Spirit of Ramanujan, American Mathematical Society, 2006. Review, Review

——— and Fritz Gesztesy (eds.), Continued Fractions: From Analytic Number Theory to Constructive Approximation: A Volume in Honor of L. J. Lange, American Mathematical Society, 1999.

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Mathematical Applications

Scott Aaronson, Quantum Computing since Democritus, Cambridge University Press, 2013. Review, Review

John A. Adam, Mathematics in Nature: Modeling Patterns in the Natural World , Princeton University Press, 2003. Review, Review

——— , X and the City: Modeling Aspects of Urban Life, Princeton University Press, 2013. Review, Review, Review

Octavio Alberto Agustín-Aquino, Julien Junod and Guerino Mazzola, Computational Counterpoint Worlds: Mathematical Theory, Software, and Experiments, Springer, 2016.

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Elwyn Berlekamp, Algebraic Coding Theory, World Scientific, revised edition, 2015. Review

Michael Blastland and David Spiegelhalter, The Norm Chronicles: Stories and numbers about danger, Profile Books, 2013. Review, Review

Mark Bollman, Basic Gambling Mathematics: The Numbers Behind The Neon, CRC Press, 2014.

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Christoph Börgers, Mathematics of Social Choice: Voting, Compensation, and Division, Society for Industrial and Applied Mathematics, 2010. Review

Steven J. Brams, Game Theory and the Humanities: Bridging Two Worlds , MIT Press, 2011. Review, Review

Robert Bridson, Fluid Simulation for Computer Graphics, A K Peters/CRC Press, 2008.

Chris Budd, Climate, Chaos And Covid: How Mathematical Models Describe The Universe, World Scientific, 2023. Review

Subrahmanyan Chandrasekhar, The Mathematical Theory of Black Holes, Oxford University Press, reprint edition, 1998.

Arthur Charpentier (ed.), Computational Actuarial Science with R, Routledge, 2016. Review

Brian Clegg, Big Data: How the Information Revolution Is Transforming Our Lives, Icon Books Ltd, 2017. Review

Andrew M. Colman, Game Theory and Its Applications in the Social and Biological Sciences, Routledge Falmer, 1995. [69]

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S. Barry Cooper, Computability Theory, Chapman and Hall/CRC, 2003. Review

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Seth Stannard Cottrell, Do Colors Exist?: And Other Profound Physics Questions, Birkhäuser, 2018. Review

Tim Denvir, Introduction to Discrete Mathematics for Software Engineering, Palgrave, 1986.

John dePillis and José Wudka, Illustrated Special Relativity Through Its Paradoxes: A Fusion of Linear Algebra, Graphics, and Reality, Mathematical Association of America, 2014. Review

Nachum Dershowitz and Edward M. Reingold, Calendrical Calculations, Cambridge University Press, 3rd edition, 2007. Review

Keith J. Devlin and Gary Lorden, The Numbers Behind Numb3rs: Solving Crime with Mathematics, Plume Books, 2007. Review, Review, Review (1MB)

Matt DeVos and Deborah A. Kent, Game Theory: A Playful Introduction (Student Mathematical Library), American Mathematical Society, 2017. Review

Persi Diaconis and Ron Graham, Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks, Princeton University Press, 2011. Review, Review, Review, Review

Richard Dunn and Rebekah Higgitt, Finding Longitude: How ships, clocks and stars helped solve the longitude problem, Collins and Royal Museums Greenwich, London 2014. Review

Rob Eastaway and John Haigh, The Hidden Mathematics of Sport, Portico, reprint edition, 2011. Review, Review

G. Bard Ermentrout and David H. Terman, Mathematical Foundations of Neuroscience, Springer, 2010. Review

Alison Etheridge, A Course in Financial Calculus, Cambridge University Press, 2002.

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Graham Farmelo, The Universe Speaks in Numbers: How Modern Math Reveals Nature's Deepest Secrets, Basic Books, 2019. Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

Norman Fenton and Martin Neil, Risk Assessment and Decision Analysis with Bayesian Networks, Chapman and Hall/CRC, 2 edition, 2018. Webpage, Review

——— and James M. Bieman, Software Metrics: A Rigorous and Practical Approach, 3rd edition, CRC Press, 2014.

Richard P. Feynman, Feynman Lectures On Computation, Westview Press, paperback edition, 2000.

——— , Robert B. Leighton and Matthew Sands, The Feynman Lectures on Physics: Definitive and Extended Edition, Addison Wesley, 2005. Ebook [164]

Ed Finn, What Algorithms Want: Imagination in the Age of Computing, MIT Press, 2017. Review, Review

Hannah Fry, The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation, TED Books, 2015. Review

——— , Hello World: How to be Human in the Age of the Machine, Doubleday, 2018. Q&A, Review

——— and Thomas Oléron Evans, The Indisputable Existence of Santa Claus: the Mathematics of Christmas, Doubleday, 2016. Review, Review

Yoshikazu Giga and Toshiyuki Kobayashi (eds.), What Mathematics Can Do for You: Essays and Tips from Japanese Industry Leaders, Springer, 2013. Review

James Gleick, The Information: A History, a Theory, a Flood, Fourth Estate, 2011. Webpage, Review

John M. Gottman, James D. Murray, Catherine C. Swanson, Rebecca Tyson and Kristin R. Swanson, The Mathematics of Marriage: Dynamic Nonlinear Models, MIT Press, 2005. Review, Review

Peter Grindrod, Mathematical Underpinnings of Analytics: Theory and Applications, Oxford University Press, 2014. Review, Review

Alexander J. Hahn, Mathematical Excursions to the World's Great Buildings, Princeton University Press, 2012. Review, Review, Review, Review

Brian C. Hall, Quantum Theory for Mathematicians, Springer, 2013.

Michael A. Harrison, Introduction to Formal Language Theory, Addison Wesley Longman Publishing Co, 1978. [105]

Anthony Hey (ed.), Feynman And Computation, Westview Press, paperback edition, 2002.

Joshua Holden, The Mathematics of Secrets, Princeton University Press, 2017. Review, Review, Review

John H. Holland, Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence, MIT Press, paperback edition, 1992.

——— , Hidden Order: How Adaptation Builds Complexity, Basic Books, 1996. Review, Review

——— , Signals and Boundaries: Building Blocks for Complex Adaptive Systems, MIT Press, 2012. Review

——— , Complexity: A Very Short Introduction, Oxford University Press, 2014.

Susan Holmes and Wolfgang Huber, Modern Statistics for Modern Biology, ‎ Cambridge University Press, 2019. Ebook, Review, Review, Review

John Hopcroft and Ravi Kannan, Computer Science Theory for the Information Age. 2011. Ebook

A.J. Jones, Game Theory: Mathematical Models of Conflict, Woodhead Publishing (new edition), 2000. [184]

Neil C. Jones and Pavel A. Pevzner, Introduction to Bioinformatics Algorithms, MIT Press, Cambridge, MA, U.S.A., 2004. Review

David Kahn, The Codebreakers: The Comprehensive History of Secret Communication from Ancient Times to the Internet, Scribner; 2nd revised edition, 1997. Webpage, Review, Review of 1st ed.

Hans Kaper and Christiane Rousseau (eds.), The Mathematics of Planet Earth: Mathematicians Reflect on How to Discover, Organize, and Protect Our Planet, Society for Industrial and Applied Mathematics, 2015. Review, Review

Anna R. Karlin and Yuval Peres, Game Theory, Alive, American Mathematical Society, 2017. Review

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Matthew Lane, Power-Up: Unlocking the Hidden Mathematics in Video Games, Princeton University Press, 2017. Review, Review, Review

Amy Langville and Carl D. Meyer, Google's PageRank and Beyond: The Science of Search Engine Rankings, Princeton University Press, 2012. Review

Jackie L. Lawrence, Celestial Calculations, MIT Press, 2019. Review, Review

Daniel Levitin, A Field Guide to Lies and Statistics: A Neuroscientist on How to Make Sense of a Complex World, Viking, 2017. Review, Review

Richard J. Lipton and Kenneth W. Regan, Quantum Algorithms via Linear Algebra: A Primer, MIT Press, 2015.

Peter Lynch, The Emergence of Numerical Weather Prediction: Richardson's Dream, Cambridge University Press, illustrated edition, 2014. Review

Keith M. Martin, Everyday Cryptography: Fundamental Principles and Applications, Oxford University Press, 2012. [249] Review, Review

Danny McCarroll, Simple Statistical Tests for Geography, Chapman and Hall/CRC, 2016. Review

S. Brent Morris, Magic Tricks, Card Shuffling and Dynamic Computer Memories, Mathematical Association of America, 1998.

Colm Mulcahy, Mathematical Card Magic: Fifty-Two New Effects, CRC Press, 2013. Review, Review, Review, Review, Review

Martin A Nowak, Evolutionary Dynamics: Exploring the Equations of Life, Harvard University Press, 2006. Review, Review

Roland Omnès, The Interpretation of Quantum Mechanics, Princeton University Press, 1994. Review

J.B. Paris, The Uncertain Reasoner's Companion: A Mathematical Perspective, Cambridge University Press, 2006. Review

Jerome K. Percus, Mathematics of Genome Analysis, Cambridge University Press, 2002.

——— , Mathematical Methods in Immunology, American Mathematical Society, 2012. Review

Andrés Perea, Epistemic Game Theory: Reasoning and Choice, Cambidge University Press, 2012. Review

Miodrag Petković, Mathematics and Chess, Dover Publications Inc., 2003.

Orrin H. Pilkey and Linda Pilkey-Jarvis, Useless Arithmetic: Why Environmental Scientists Can't Predict the Future, Columbia University Press, 2006. Review

Fred Piper and Sean Murphy, Cryptography: A Very Short Introduction, Oxford University Press, 2002.

Burkard Polster, The Mathematics of Juggling, Springer-Verlag, New York, 2003. Review (Rebuttal), Review

William Poundstone, Gaming the Vote: Why Elections Aren't Fair (and What We Can Do about It), Hill & Wang, 2009. Review

Daniel A. Roberts and Sho Yaida, with Boris Hanin, The Principles of Deep Learning Theory: An Effective Theory Approach to Understanding Neural Networks, Cambridge University Press, 2022. Ebook

Jerry Roberts, Lorenz: Breaking Hitler's Top Secret Code at Bletchley Park, The History Press, 2017. Review, Review, Review

Ian Roulstone and John Norbury, Invisible in the Storm: The Role of Mathematics in Understanding Weather, Princeton University Press, 2013. Review, Review

Donald G. Saari, Chaotic Elections! A Mathematician Looks at Voting, American Mathematical Society, 2001. Review, Review

Liela Schneps and Coralie Colmez, Math on Trial: How Numbers Get Used and Abused in the Courtroom, Basic Books, 2013. Review, Review, Review, Review

Tom Siegfried, A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of Nature, Henry (Joseph) Press, 2006. Review, Review

Simon Singh, The Code Book: The Secret History of Codes and Code-breaking, Doubleday Books, 1999. Review, Review

David Spiegelhalter, Sex by Numbers: The Statistics of Sexual Behaviour, Profile Books, 2015.

J. Michael Steele, Stochastic Calculus and Financial Applications, Springer, New York, 2001.

Ian Stewart, Mathematics Of Life: Unlocking the Secrets of Existence, Profile Books, 2011. Review, Review, Review, Review

Brendan W. Sullivan, An Introduction to the Math of Voting Methods, 619 Wreath, 2022. Review

David Sumpter, Soccermatics: Mathematical Adventures in the Beautiful Game, Bloomsbury Sigma, 2016. Review, Review, Review

———, Outnumbered: From Facebook and Google to Fake News and Filter-bubbles, Bloomsbury Sigma, 2018. Review, Review, Review$

Toshikazu Sunada, Topological Crystallography: With a View Towards Discrete Geometric Analysis, Springer, 2013. Review

George G. Szpiro, Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the Present, Princeton University Press, 2010. Review, Review, Review

Leon A. Takhtajan, Quantum mechanics for mathematicians, Amer. Math. Soc., 2008. Review, Review

Nassim Nicholas Taleb, The Black Swan: The Impact of the Highly Improbable, Penguin, 2010. Webpage, Review, Review, Review, Review

———, Antifragile: Things that Gain from Disorder, Penguin, 2013. Webpage, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review, Review

———, Statistical Consequences of Fat Tails: Real World Preasymptotics, Epistemology, and Applications, STEM Academic Press, 2020. Ebook

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Leslie Valiant, Probably Approximately Correct, Basic Books, 2013. Review, Review, Review, Review, Review, Review

Stephan Wagner and Hua Wang, Introduction to Chemical Graph Theory, Chapman and Hall/CRC, 2018. Review

Peter Woit, Not Even Wrong: The Failure of String Theory and the Continuing Challenge to Unify the Laws of Physics, Jonathan Cape, 2005.

 

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