This is a list of mathematics books including textbooks, expository works, popular mathematics fields, and historically significant treatises.
General works Concrete Mathematics — Ronald Graham, Donald Knuth, and Oren Patashnik Concepts of Modern Mathematics — Ian Stewart Mathematics and the Imagination — Edward Kasner and James Newman Mathematics and Plausible Reasoning — George Pólya Mathematics: The Loss of Certainty — Morris Kline The Princeton Companion to Mathematics — Timothy Gowers What Is Mathematics? — Richard Courant and Herbert Robbins
Popular mathematics and biographies
A Mathematician's Apology — G. H. Hardy The Annotated Turing — Charles Petzold The Beauty of Fractals — Heinz-Otto Peitgen and Peter Richter The Emperor's New Mind — Roger Penrose Fermat's Enigma — Simon Singh God Created the Integers — Stephen Hawking Gödel, Escher, Bach — Douglas Hofstadter How Not to Be Wrong — Jordan Ellenberg The Man Who Loved Only Numbers — Paul Hoffman Prime Obsession — John Derbyshire Where Mathematics Comes From — George Lakoff and Rafael E. Núñez
Algebra
Algebra — Serge Lang Algebra: Chapter 0 — Paolo Aluffi
Calculus and analysis
Calculus on Manifolds — Michael Spivak Principles of Mathematical Analysis — Walter Rudin Introduction to Analysis — Maxwell Rosenlicht
Geometry and topology
Flatland — Edwin Abbott Abbott Indra's Pearls — David Mumford, Caroline Series, and David Wright Regular Polytopes — H. S. M. Coxeter Tilings and patterns — Branko Grünbaum and G. C. Shephard Topology — James R. Munkres
Number theory
An Introduction to the Theory of Numbers — G. H. Hardy and E. M. Wright A Course in Arithmetic — Jean-Pierre Serre A Classical Introduction to Modern Number Theory — Michael Rosen
Probability and statistics
An Introduction to Probability Theory and Its Applications — William Feller The Art of Statistics — David Spiegelhalter Introduction to Probability Models — Sheldon M. Ross
Logic and foundations
Proofs and Refutations — Imre Lakatos The Principles of Mathematics — Bertrand Russell On Formally Undecidable Propositions of Principia Mathematica and Related Systems — Kurt Gödel
Algorithms
Algorithms + Data Structures = Programs — Niklaus Wirth Algorithms Unlocked — Thomas H. Cormen The Art of Computer Programming — Donald Knuth Calendrical Calculations — Nachum Dershowitz and Edward Reingold Fundamentals of Computer Algorithms — Ellis Horowitz Hacker's Delight — Henry S. Warren, Jr. Introduction to Algorithms — Thomas H. Cormen, Charles E. Leiserson, Ronald Rivest, and Clifford Stein Jewels of Stringology — Maxime Crochemore and Wojciech Rytter The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World — Pedro Domingos Numerical Recipes — William H. Press, Saul A. Teukolsky, and Brian P. Flannery The Preparation of Programs for an Electronic Digital Computer — Maurice Wilkes, David Wheeler, and Stanley Gill
Philosophy and foundations of mathematics
Philosophy of Mathematics: Selected Readings — Paul Benacerraf and Hilary Putnam Philosophy of Mathematics and Natural Science — Hermann Weyl What Is Mathematics, Really? — Reuben Hersh
Treatises
Arithmetica — Diophantus Disquisitiones Arithmeticae — Carl Friedrich Gauss Introductio in analysin infinitorum — Leonhard Euler Mécanique analytique — Joseph-Louis Lagrange Principia Mathematica — Alfred North Whitehead and Bertrand Russell The Sand Reckoner — Archimedes Théorie analytique de la chaleur — Joseph Fourier The Elements — Euclid
See also
Comparison of TeX editors and list of TeX extensions Computational mathematics Computer-based mathematics education List of mathematical software and list of open-source software for mathematics List of mathematics topics List of programming books List of scientific publications by Albert Einstein List of unsolved problems in mathematics Lists of books Lists of mathematicians MathOverflow Outline of mathematics Philosophy of mathematics Terence Tao publications The Math(s) Fix – by Conrad Wolfram
External links Publications of Joel David Hamkins