List of mathematics books

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

See also: Popular mathematics

• 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

See also: List of abstract algebra topics

• Algebra — Serge Lang
• Algebra: Chapter 0 — Paolo Aluffi

Calculus and analysis

See also: List of calculus topics

• Calculus on Manifolds — Michael Spivak
• Principles of Mathematical Analysis — Walter Rudin
• Introduction to Analysis — Maxwell Rosenlicht

Geometry and topology

See also: List of mathematical shapes and List of topologies

• 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

See also: List of number theory topics

• 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

See also: Glossary of 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

See also: List of logic symbols and Outline of logic

• Proofs and Refutations — Imre Lakatos
• The Principles of Mathematics — Bertrand Russell
• On Formally Undecidable Propositions of Principia Mathematica and Related Systems — Kurt Gödel

Algorithms

See also: List of 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

See also: Philosophy of mathematics 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

See also: List of important publications in mathematics

• 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