To the best of my knowledge, all these books were made available on Internet in a legal way (else, please, let me know).
The links are checked about once a month and any broken ones are eliminated.
Thanks to all who share their knowledge for free with all of us.


Regular BOOKS 
about mathematics and related topics

Online COURSES 
Lecture Notes and Textbooks

Doctoral and Master THESES 
about mathematical topics



Authors, please, let me know the link to your document, so I can list it here.
If the document is not yet on the Interned, let me know anyway and I will host it on this site for free.

You might wish to consult also other lists and collections
Free, online MATHEMATICS BOOKS
 Project Gutenberg math section contains many open access books.
 European Mathematical Information Service (EMIS). Lots of monographs and lecture notes.
 Czech Digital Mathematics Library offers open access to many single books and/ collections ...
Many are in English, but just as many are in Czech.
 A New Kind of Science by Stephen Wolfram (first printed in 2002).
Software, math and physics. Pagebypage access.
 A = B, book about combinatorial identities
by Marko Petkovsek, Herbert S. Wilf and Doron Zeilberger.
 A Computational Introduction to Number Theory and Algebra by Victor Shoup.
 Abelian Categories by Peter Freyd.
 Abstract and concrete categories: The joy of cats
by Jiri Adamek, Horst Herrlich and George Strecker. Alternative source.
 Advanced Calculus by Lynn Loomis and Shlomo Sternberg.
 Algebraic Topology, Vol.I, by Allen Hatcher. Available also in printed form.
 Algorithms and Complexity, 1st Edition, by Herbert S. Wilf. You can buy the 2nd Edition.
 Arithmetic Duality Theorems by James S.Milne.
Available also in printed form.
 Asynchroneous Systems Theory by Serban E.Vlad. Published by WSEAS.
 Automorphic Forms, Shimura Varieties, and Lfunctions, Volumes I and II.
Proceedings of a Conference held at the University of Michigan, Ann Arbor, July 616, 1988.
Edited by L.Clozel and James S.Milne.
 Basic Concepts of Enriched Category Theory by Max Kelly.
 Basic Concepts of Mathematics by Elias Zakon,
courtesy of the Trillia Group.
 Basics of Algebra and Analysis for Computer Science by Jean Gallier.
 Categories and Groupoids by late Philip J.Higgins.
 Chaos: Classical and Quantum by Predrag Cvitanovic'.
 Combinatorial and Computational Geometry, a 2005 collection of articles edited by
Jacob E. Goodman, János Pach and Emo Welzl.
Available also in printed form
 Complex Variables by Robert B. Ash and Phil Novinger.
 Complex Analysis by George Cain.
 Concepts and Applications of Inferential Statistics by Richard Lowry. Click Table of Contents.
 Concise Encyclopedia of Mathematics by Eric Weisstein.
1998 version available also in printed form and on CD.
 Convex Optimization by Stephen P. Boyd and Lieven Vandenberghe.
Available also in printed form. Original Edition Cambridge University Press 2004.
 Difference Equations to Differential Equations by Dan Sloughter.
 Dynamical Systems by Shlomo Sternberg.
 Dynamics in One Complex Variable by John Milnor.
1st Edition, IMS 1990. Also available: Printed 3rd Edition.
 Dynamics, Ergodic Theory, and Geometry, a 2007 collection of articles
edited by Boris Hasselblatt.
Available also in printed form
 E Infinity Ring Spectra and E Infinity Ring Spaces by J. Peter May et al
(Springer 1977).
Available also in printed form.
 Elementary Calculus: An Approach Using Infinitesimals by H.J.Keisler.
 Elements of Abstract and Linear Algebra by Edwin H. Connell.
 Elliptic Curves by James S. Milne.
Available also in printed form.
 Entropy and Information Theory by Robert M. Gray.
 Euclid's Elements edited by David E. Joyce.
 Equivariant Stable Homotopy Theory by L. G. Lewis Jr, J. Peter May, M. Steinberger, J. E. McClure.
Available also in printed form.
 Finite Element Methods by Nikos Mastorakis and Olga Martin. Published by WSEAS.
 Foundations of Combinatorics with Applications
by Edward A. Bender and Gill S. Williamson
 Foundations of Differentiable Manifolds and Lie Groups
by Frank W. Warner.
DjVu format.
Available also in printed form.
 Generatingfunctionology, 2nd Ed., by Herbert S. Wilf, and the publisher, A.K.Peters.
 Geometric Asymptotics by Shlomo Sternberg, on AMS Online
 Graph Algorithms by the late Shimon Evan (Chapters 16, .ps format).
more >>.
 Graph Theory by Reinhard Diestel. Not really free.
Available also in printed form.
 Group Theory: Birdtracks, Lie’s, and Exceptional Groups by Predrag Cvitanovic'.
 H Infinity Ring Spectra and their Applications
by R. R. Brunner, J. Peter May,
J. E. McClure, M. Steinberger (Springer 1986).
Available also in printed form.
 Handbook of Mathematical Functions edited by M. Abramowitz and A. Stegun.
 Hodge Cycles, Motives, and Shimura Varieties by Pierre Deligne,
James S.Milne, Arthur Ogus and Kuangyen Shih.
Available also in printed form.
 Information Theory, Inference, and Learning Algorithms, by David MacKay.
Available also in print.
 Introduction to Bayesian Statistics by H.Thornburg.
 Introduction to Matrix Algebra by Autar Kaw.
 Introduction to Probability Theory by Charles M. Grinstead and J. Laurie Snell.
GNU License. Acompanied by a number of tools and links.
Available also in printed form.
 Introduction to Probability and Random Processes by GianCarlo Rota and Kenneth P. Baclawski.
 Introduction to Real Analysis by William Trench.
PDF shortcut
and an alternative.
 Introduction to Statistical Data Processing by Robert M. Gray and L. D. Davisson.
Courtesy Cambridge University Press. Available also in printed form.
 Introduction to the Theory of Numbers by Leo Moser, courtesy of Trillia Group.
 Introduction to Vectors and Tensors by Ray M. Bowen and C. C. Wang.
Vol.1: Linear and Multilinear Algebra and Vol.2: Vector and Tensor Analysis
 Inverse Problem Theory and Methods for Model Parameter Estimation
by Albert Tarantola,
SIAM 2005. Available also in printed form.
 Jacobi Operators and Completely Integrable Nonlinear Lattices by Gerald Teschl.
Available also in printed form.
 Lie Algebras by Shlomo Sternberg.
 Linear Algebra, a free text for a standard US undergraduate course, by Jim Hefferon.
 Linear Algebra, Infinite Dimensions, and Maple, an online book by Jim Herod.
 Linear Controller Design  Limits of Performance
by Stephen Boyd and Craig Barratt. Original Edition Prentice Hall 1991.
 Linear Matrix Inequalities in System and Control Theory
by Stephen Boyd, Laurent El Ghaoui, Eric Feron, and Ragu Balakrishnan.
Available also in printed form. Original Edition SIAM 1997.
 Linear Methods of Applied Mathematics by E.M.Harrell II and J.Herod.
 Linear Partial Differential Equations and Fourier Theory (online version) by Marcus Pivato.
 Logic for Computer Science: Foundations of Automatic Theorem Proving
by Jean Gallier. Not sure whether it is really downloadable.
 Manuscripts of Srinivasa Ramanujan at Tata Institute of Fundamental Research. 3 volumes.
 Mapping of Probabilities  Theory for the Interpretation of Uncertain Physical Measurements, an online book by the late Albert Tarantola.
In preparation; only first two Chapters are finished.
 Mathematical Analysis I by Elias Zakon,
courtesy of the Trillia Group.
 Mathematical Analysis II by Elias Zakon,
courtesy of the Trillia Group.
 Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications, J. O. Smith III.
 Multivariable Calculus by George Cain and James Herod.
 My Algebra Book by Eric Kean. A nice college algebra initiative.
 NIST Digital Library of Mathematical Functions,
a vastly enlarged continuation of the AbramowitzStegun Handbook.
 Notes on Convex sets, Polytopes, Polyhedra, Combinatorial Topology, Voronoi Diagrams and Delaunay Triangulations
by Jean Gallier.
 Notes on Differential Geometry by Noel J. Hicks (1965).
 Notes on Differential Geometry and Lie Groups
by Jean Gallier and Jocelyn Quaintance.
 Number Theory, an undergraduate revision by Jim Hefferon of a text by W. E. Clark.
 Practical Foundations of Mathematics by Paul Taylor.
Available also in printed form
 Predicative Arithmetic by Edward Nelson.
 Probability, geometry, and integrable systems, a 2008 collection of articles
edited by Mark Pinsky and Björn Birnir.
Available also in printed form
 Probability Theory: The Logic of Science by Edwin T. Jaynes.
 Probability, Random Processes, and Ergodic Properties by R.M.Gray.
 Radically Elementary Probability Theory by Edward Nelson.
 Real Variables with Basic Metric Space Topology by Robert B. Ash.
Originally published by IEEE Press in 1992. 78 MB pdf.
 Rough Set Data Analysis: A road to noninvasive knowledge discovery,
a primer by Ivo Düntsch and Günther Gediga.
Available also in printed form
 Semiriemannian Geometry by Shlomo Sternberg.
 Sequential Simplex Optimization (PDF 3.8 Mb) by Walters F.H., Morgan S.L., Parker L.R.Jr., Deming S.N., CRC Press 1991. Licensed electronic reprint 1999.
 Semiclassical Analysis by Shlomo Sternberg.
 Seminar on Triples and Categorical Homology Theory,
edited by Beno Eckmann and Myles Tierney.
 Sets, Relations, Functions, a primer by Ivo Düntsch and Günther Gediga.
More >>.
 Simple Groups of Finite Morley Rank
by Tuna Altinel, Alexandre V. Borovik, and Gregory Cherlin. Early version on AMS.
 Spectral Sequences in Algebraic Topology by Allen Hatcher.
 Statistics: Methods and Applications by Thomas Hill and Paul Lewicki at StatSoft.
Available also in printed form.
 StatLect  Lectures on Probability and Statistics by Marco Taboga. Very good.
 Tensor Analysis by Edward Nelson.
 The Calculus of Functions of Several Variables by Dan Sloughter.
 The Geometry of Iterated Loop Spaces by J. Peter May.
 The Homology of Iterated Loop Spaces
by Frederick R. Cohen, Thomas J. Lada and J. Peter May.
Available also in printed form.
 Theory of Functions of a Real Variable by Shlomo Sternberg.
 Toeplitz and Circulant Matrices: A Review by R.M.Gray.
Available also in printed form.
 Toposes, Triples and Theories by Michael Barr and Charles Wells.
 Trigonometric Delights by Eli Maor. Limited online availability.
 Understanding Calculus by F. Hussain. Very good.
 Vector Bundles and KTheory by Allen Hatcher.
 Wavelets  all there is to know about them. Do not miss this resource!
 Wolfram MathWorld. The web's most extensive mathematics resource.
Free, online books and similar resources RELATED to MATHEMATICS
Free, online Math Courses, Lecture Notes and Textbooks
 Lectures on Mathematics at Tata Institute of Fundamental Research. 92 titles and growing.
 A Concise Course in Algebraic Topology by J. Peter May. Available also in dvi and printed form.
 A First Course in Linear Algebra (FCLA), a textbook by Rob Beezer. Excellent.
 A Primer of Real Analysis, an online textbook by Dan Sloughter.
 A Problem Text in Advanced Calculus by John M.Erdman.
 A Short Course in Discrete Mathematics by Edward A. Bender and Gill S. Williamson.
 Abstract Algebra: The Basic Graduate Year, a textbook by Robert B.Ash.
 Abstract Algebra: Theory and Applications, 2009 college textbook by Thomas W.Judson.
 Algebraic Number Theory, a course by Robert B. Ash.
 An Introduction to Set Theory, an almost complete course/textbook
by William Weiss. PDF / PS / DVI formats.
 Analysis of Functions of a Single Variable, a textbook by Lawrence Baggett.
 Basic Analysis: Introduction to Real Analysis, a nice textbook by Jiri Lebl.
 Calculus, a textbook by B.Crowell.
 Calculus, a textbook by Gilbert Strang at MIT Open Courseware.
 Commutative Algebra, a course by Robert B. Ash.
 Complex Analysis interactive textbook by Bert G.Wachsmuth.
 Elementary Linear Algebra, lecture Notes by Keith Matthews.
 Functional Analysis, an online textbook by Lawrence Baggett.
 Fundamentals of Model Theory, a course/textbook
by William Weiss and Cherie D'Mello. PS / DVI / AtlasImage formats.
 Group Theory course by James S.Milne.
 HyperStat Online Statistics Textbook by David M.Lane. Great resource.
 Lectures on Statistics by Robert B. Ash.
 Lectures Notes on Optimization by Pravin Varaiya.
Online PDF reissue of a book out of print since 1975.
 Lectures on Analytic Differential Equations
by Yulij Ilyashenko and Sergei Yakovenko.
Available also in printed form.
 Lectures on Modular Functions of One Complex Variable by Hans Maass.
 Math Alive, lecture Units by Ingrid Daubechies and Shannon Hughes.
 Modern Course on Curves and Surfaces, lecture notes by R.Palais.
 Modular Functions and Modular Forms (Elliptic Modular Curves) by James S.Milne.
 Notes on Differential Equations, lecture notes by Bob Terrell.
 Notes on Diffy QS: Differential Equations for Engineers, a nice textbook by Jiri Lebl.
 Ordinary Differential Equations and Dynamical Systems, a textbook by Gerald Teschl.
 Real Analysis interactive textbook by Bert G.Wachsmuth.
 Topology Course Lecture Notes by Aisling McCluskey and Brian McMaster.
 Yet Another Calculus Text: A short introduction with infinitesimals,
a textbook by Dan Sloughter.
Free, online MATHEMATICAL THESES


Visitor #
^{ }ADVERTISE with us^{ }
Stan's Library
BOOKs Lists:
MATH  SOFTWARE
PHYSICS  CHEMISTRY
ELECTRONICS  DSP
WWW  Patents&IP
MRI  NMR  ESR
Instruments
LINK Directories:
SCIENCE (general)
MATH  SOFTWARE
PHYSICS  CHEMISTRY
WWW  Patents&IP
NMR  MRI  ESR
ELECTRONICS
Other:
SI Units
SI Dimensions
Physics Constants
Math constants
Math Articles
Support this site! Shop from here:
