Friday, June 1, 2007

Free math books

Here is a list of free math books.Yes free free math books.........
Professor Jim Herod's Multivariable Calculus
Calculus,by Gilbert Strang is made available through MIT's OpenCourseWare electronic publishing initiative.
Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.
Yet another one produced at Georgia Tech is
Linear Algebra, Infinite Dimensions, and Maple, by James Herod.
One more recent one by
Professor Herod is Partial Differential Equations.
Complex Analysis, Complex Variables , by Robert Ash and W. P. Novinger. This is a substantial revision of the first edition of Professor Ash's complex variables text originally published in 1971.
E.H. Connell of the University of Miami has made available on the web his book Elements of Abstract and Linear Algebra. An introductory algebraic topology book, Algebraic Topology I, by Professor Allen Hatcher, of Cornell University, is available, and Professor Hatcher promises the second volume, Algebraic Topology II, will be ready soon.
The Geometry and Topology of Three-Manifolds, by William Thurston. This is an electronic edition of the 1980 lecture notes distributed by Princeton University.
Professor Jim Hefferon of Saint Michaels's College has made available his undergraduate textbook Linear Algebra.
Another elementary linear algebra textbook is
Elementary Linear Algebra, by Keith Matthews.
Introduction to Probability, by Charles Grinstead & J. Laurie Snell.
An Introduction to Probability and Random Processes, by Gian-Carlo Rota and Kenneth Baclawski. This is the 1979 manuscript of the work Professor Rota had been working on for some time. It is made available through the efforts of David Ellerman.
Professor Herbert Wilf (and the publisher, A. K. Peters) has made available his book generatingfunctionology.
Perhaps the greatest textbook of them all is
Euclid's Elements.
Originally published by
Springer-Verlag, the book A Course in Universal Algebra, by Stanley Burris, and H. P. Sankappanavar, is available online.
Professor Robert Ash has written and made available Abstract Algebra:The Basic Graduate Year.
Another one by
Professor Ash is A Course In Algebraic Number Theory.
Professor Ash has also completed and made available A Course in Commutative Algebra.
The Calculus Bible is an elementary calculus textbook from Professor G. S. Gill of the Brigham Young University Mathematics Department.
Calculus Without Limits, by John C. Sparks.
Originally published by Prindle, Weber & Schmidt but currently out of print,
Elementary Calculus: An Approach Using Infinitesimals, by Professor H. Jerome Keisler, is now freely available online.
Handbook of Applied Cryptography, by Alfred J. Menezes , Paul C. van Oorschot, and Scott A. Vanstone, is freely available thanks to the publisher, CRC Press.
Graph Theory, by Reinhard Diestel.
Available for self-study from
The Trillia Group is Basic Concepts of Mathematics, by Elias Zakon.
Another one from
The Trillia Group is An Introduction to the Theory of Numbers by Leo Moser.
Yet another from
The Trillia Group is Mathematical Analysis I, by Elias Zakon.
Thanks to Malaspina Great Books,
Mechanism of the Heavens (1831), by Mary Somerville, is available online. This second edition was prepared by Russell McNeil.
Lecture Notes on Optimization, by Pravin Varaiya. This is a re-issue of a book out of print since 1975. It is an introduction to mathematical programming, optimal control, and dynamic programming.
A Manual of Mathematical Ilustration, by Bill Casselman, shows, at several levels of sophistication, how to use PostScript for producing mathematical graphics.
Chebyshev and Fourier Spectral Methods (2nd. Edition), by John P. Boyd. This is the free online version of the Dover 2001 edition.
A Problem Course in Mathematical Logic, by Stefan Bilaniuk .
Concepts and Applications of Inferential Statistics, by Richard Lowry.
To be published soon by Cambridge University Press,
A Computational Introduction to Number Theory and Algebra, by Victor Shoup will nevertheless remain freely available on-line.
Out of print for sometime, but freely available is
Graph Theory with Applications, by J. A. Bondy and U. S. R. Murty.
Yet another one out of print, but now freely available is
Convergence of Stochastic Processes, by David Pollard.
Designed for undergraduate physics students is
Mathematical Tools for Physics, by James Nearing.
Elementary Number Theory, by William Stein.
A Modern Course on Curves and Surfaces, by Richard Palais.
A First Course in Linear Algebra, by Rob Beezer.
Group Theory, by Pedrag Civitanovic.
Shlomo Sternberg has written Theory of Functions of a Real Variable.
Lie Algebras Semi-Riemann Geometry and General Relativity
Advanced Calculus, by Lynn Loomis and Schlomo Sternberg
Originally published by Springer-Verlag and now out of print,
Non-Uniform Randon Variate Generation, by Luc Devroye is now, thanks to the author, freely available.
Difference Equations to Differential Equations, by Dan Sloughter.
The Calculus of Functions of Several Variables is another one by Professor Sloughter.
Notes on Differential Equation, by Bob Terrell.
Sets, Relations, Functions, by Ivo Düntsch and Günther Gediga.
Another one by
Düntsch and Gediga is Rough Set Data Analysis.
Predicative Arithmetic, by Edward Nelson.
Toposes, Triples and Theories, by Michaele Barr and Charles Wells.
Information Theory, Inference, and Learning Algorithms, by David J. C. MacKay is published by Cambridge University Press, but is, nevertheless, freely available online.
Linear Partial Differential Equations and Fourier Theory , by Marcus Pivato.
Another one by
Professor Pivato is Voting, Arbitration, and Fair Division: The Mathematics of Social Choice.
Introduction to Vectors and Tensors, Volume 1, Linear and Multilinear Algebra, and Introduction to Vectors and Tensors, Volume 2, Vector and Tensor Analysis by Ray M. Bowen and C.-C.Wang, are revised versions of books originally published by Plenum Press in 1976.
Another one by
Professor Bowen and originally published by Plenum Press is Introduction to Continuum Mechanics for Engineers.
Numerical Methods and Analysis for Engineers, by Douglas Wilhelm Harder.
Analysis of Functions of a Single Variable, by Lawerence Baggett, was originally written to be used for a one semester senior course, but the author suggests that it is more appropriate for first year graduate students.
Convex Optimization, by Stephen Boyd, and Lieven Vandenberghe is freely available thanks to Cambridge University Press.
Mathematics Under the Microscope, by Alexandre Borovik, is, according to the author, an attempt "to start a dialogue between mathematicians and cognitive scientists."
Introduction to Statistical Signal Processing, by R. M. Gray and L. D. Davisson is, according to Professor Gray, a "...much revised version of the earlier text Random Processes: An Introduction for Engineers, Prentice-Hall, 1986, which is long out of print." The current book is published by Cambridge University Press.
Not simply an online textbook, but certainly in the same spirit is the
Topology Webcourse project undertaken by Topology Atlas.
This is, I suppose, not a textbook, but nevertheless an interesting reference:
The Matrix Cookbook, by Kaare Brandt Petersen, and Michael Syskind Pedersen.
Not really a textbook either,
Constants, by Steven Finch, is, nevertheless, a nice collection of essays. The title pretty much describes the subject.
So you got your math books........

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