Textbooks in Mathematics
A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.
All the documents are in English. They are in a printable format -
or Adobe Portable Document Format. You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks.
For any comments, please, contact me:
News: Please note the new mirror mathbooks.110mb.com/mylist.php.
News: Geocities is going to close all free accounts after 15 years of activity. This site was hosted there for nearly 8 years and is going to be suspended by the end of the year. Please, bookmark the new address mathbooks.110mb.com/mylist.php.
Remark: indicates a book for which there is also a printed version
indicates documents which appear for first time in the current edition of this page.
Introductory Number Theory
Fermat's Last Theorem
Algebraic Number Theory
Analytic Number Theory
Algebra, Algebraic Geometry
Workbook in Higher Algebra by David Surowski Differential Algebra by Joseph Fels Ritt Structure and Representations of Jordan Algebras by Nathan Jacobson A Course in Universal Algebra by Stanley N. Burris, and H.P. Sankappanavar An Invitation to General Algebra and Universal Constructions by George M. Bergman Varieties of Lattices by Peter Jipsen, and Henry Rose Lectures on Matrices by Joseph Henry Maclagen Wedderburn Elementary Abstract Algebra by Edwin Clark Intro to Abstract Algebra by Paul Garrett Elements of Abstract and Linear Algebra by Edwin H. Connell Abstract Algebra:The Basic Graduate Year by Robert Ash A Course In Commutative Algebra by Robert Ash Notes for geometric group theory course by John R. Stallings Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form) by Keith Matthews Commutative algebra by Ivan Fesenko Abstract Algebra - Number Theory, Group Theory, Galois Theory by Daviidd Wilkins Abstract group theory by Chuck Miller The Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald Solomon Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt Finite Groups and their Representations by Andrew Baker Classical Groups by Peter Cameron Galois theory by Miles Reid Toeplitz and Circulant Matrices by Robert M. Gray Homogeneous spaces and equivariant embeddings by Dmitri A. Timashev Algebra: Abstract and Concrete by Frederick M. Goodman Commutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory by Sudhir R. Ghorpade Fundamental Problems in Algorithmic Algebra by Chee Yap Braid groups and Galois theory by Frazer Jarvis A. N. Whitehead's Geometric Algebra by Stephen Blake Commutator Theory for Congruence Modular Varieties by Ralph Freese, and Ralph McKenzie Constructive Aspects of the Inverse Galois Problem by A. Ledet, and N. Yui, and C. Jensen Publications and prepublications about braids Algebraic Geometry
Real Analysis by Andrew M. Bruckner, Brian S. Thomson, and Judith B. Bruckner
Introduction to Tensor Calculus and Continuum Mechanics by John H. Heinbockel Topics in Differential Geometry by Peter W. Michor Natural operations in differential geometry by Peter W. Michor, Ivan Kolar, and Jan Slovak Intrinsic Geometry of Surfaces by A. D. Aleksandrov, and V. A. Zalgaller An Introduction to Riemannian Geometry by Sigmundur Gudmundsson, and Lund University Riemann Surfaces, Dynamics and Geometry by Curtis McMullen Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. Gilkey Differentiable Manifolds by Mariusz Wodzicki Differential Geometry by Sergei Yakovenko Symplectic Geometry with and Eye Toward Combinatorics by Sue Tolman Differential Geometry and Physics by Gabriel Lugo Differential geometry reconstructed by Alan U. Kennington Course of Differential Geometry by Ruslan Sharipov The Geometrization of Physics by Richard S. Palais Projective Geometry, Geometry of Surfaces, Differentiable Manifolds by Nigel Hitchin Vector Bundles and an Introduction to Gauge Theory by Steven Bradlow, Hung-Jen Hsu, and Chris Willett Twistor Geometry and Gauge Theory by Martin Wolf Complex Geometry of Nature and General Relativity by Giampiero Esposito Geometric Asymptotics by Victor Guillemin, and Shlomo Sternberg Projective Geometry by Balázs Csikós Differential Geometry by Balázs Csikós Projective and Polar Spaceas by Peter Cameron Transformation groups for begginers by S. V. Duzhin, and B. D. Tcherbotarevsky Mathematical Physics
Quantum Field Theory
Comprehensive textbook on quantum (and classical) field theory by Warren Siegel Quantum Field Theory by Ben Simons Mathematical ideas and notions of quantum field theory by Pavel Etingof Introduction to Algebraic and Constructive Quantum Field Theory by Irving E. Segal, Zhengfang Zhou, and John C. Baez Quantum Field Theory program at IAS by Irving E. Segal, Zhengfang Zhou, and John C. Baez Graduate textbooks: Field Theory, Relativity, Superspace, Strings by Warren Siegel What is String Theory by Joseph Polchinski Fluctuating Geometries in Statistical Mechanics and Field Theory Operator Algebras and Quantum Statistical Mechanics, Vol I by Ola Bratteli Operator Algebras and Quantum Statistical Mechanics, Vol II by Ola Bratteli D-Brane Primer by Clifford V. Johnson Introduction to Superstring Theory by Elias Kiritsis Algebraic Quantum Field Theory by Hans Halvorson, and Michael Mueger Condensed Matter
Photonic Crystals: Molding the Flow of Light by John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, and Robert D. Meade
Special and General Relativity
Essential Physics 1 by Frank Firk Introduction to Groups, Invariants & Particles by Frank W.K. Firk Classical Electrodynamics by Bo Thidé Classical electrodynamics and theory of relativity by Ruslan Sharipov Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross, and P. Robert Kotiuga MOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph Schiller Fundamentals of Thermodynamics by J. Karl Johnson Non-Equilibrium Statistical Mechanics by Klaus Schulten Course in Electrodynamics by Franz Wegner Light and Matter by Ben Crowell Order-of-magnitude-physics by Sanjoy Mahajan Physical Applications of Geometric Algebra by Anthony Lasenby, and Chris Doran Group Theory: Lie's, Tracks, And Exceptional Groups by Predrag Cvitanovic' An Elementary Introduction to Groups and Representations by Brian C. Hall Geometric Models for Noncommutative Algebras by A. Cannas da Silva, and A. Weinstein Differential Forms in Electromagnetic Theory by Richard H. Selfridge, David V. Arnold, and Karl F. Warnick Lectures on integration of several variables by Michael Adler Methods of Mathematical Physics by Mark Trodden Further Mathematical Methods by Niels Walet Computational Physics by Angus MacKinnon Zeno meets modern science by Zurab K. Silagadze Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze Quick introduction to tensor analysis by Ruslan Sharipov Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert
Numerical Analysis by Lucio Tavernini Finite Element Method/Boundry Element Method by Peter Hunter Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Richard Barrett, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk van der Vorst Numerical Analysis at the University of Cambridge Numerical Mathematics and Scientific Computation by Germund Dahlquist, and Ĺke Björck The Boundary Element Method in Acoustics by Stephen Kirkup Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk Numerical Analysis by Steven Elliot Pav Convex Optimization by Stephen Boyd, and Lieven Vandenberghe Optimization by Pravin Varaiya Information Theory
Nielsen Fixed Point Theory
How to prepare documents? TEX,LATEX etc.
Last edited: June 12 2009 22:00:00.