Online Textbooks

Looking for Online Textbooks?

Here follow links to the online mathematics texts of which I am aware. I urge everyone to let me know of others in order that I may add them to this list.

1. Professor Jim Herod and I have written Multivariable Calculus ,a book which we and a few others have used here at Georgia Tech for two years. We have also proposed that this be the first calculus course in the curriculum here, but that is another story....

2. Here is one that has also been used here at Georgia Tech. Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.

3. Yet another one produced at Georgia Tech is Linear Algebra, Infinite Dimensions, and Maple, by James Herod.

4. One more recent one by Professor Herod is Partial Differential Equations.

5. I have also written a modest book, Complex Analysis, which I have used in our introductory undergraduate complex analysis course here.

6. 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.

7. Professor E.H. Connell of the University of Miami has made available on the web his book Elements of Abstract and Linear Algebra. You should read his insightful comments about textbooks.

8. 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.

9. The Geometry and Topology of Three-Manifolds, by William Thurston. This is an electronic edition of the 1980 lecture notes distributed by Princeton University.

10. Professor Jim Hefferon of Saint Michaels's College has made available his undergraduate textbook Linear Algebra.

11. Another elementary linear algebra textbook is Elementary Linear Algebra, by Keith Matthews.

12. Introduction to Probability, by Charles Grinstead & J. Laurie Snell.

13. Professor Herbert Wilf (and the publisher, Academic Press) has made available his book generatingfunctionology.

14. Another one by Professor Wilf is Algorithms and Complexity.

15. A = B, by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger. This one is also available in print and is available online with the blessing of the publisher, A. K. Peters, Ltd..

16. Perhaps the greatest textbook of them all is Euclid's Elements.

17. Originally published by Springer-Verlag, the book A Course in Universal Algebra, by Stanley Burris, and H. P. Sankappanavar, is available online.

18. Professor Robert Ash has written and made available Abstract Algebra:The Basic Graduate Year.

19. Another one by Professor Ash is A Course In Algebraic Number Theory.

20. Professor Ash has also completed and made available A Course in Commutative Algebra.

21. The Calculus Bible is an elementary calculus textbook from Professor G. S. Gill of the Brigham Young University Mathematics Department.

22. 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.

23. 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.

24. Out of print, but now freely available online is An Introduction to Multigrid Methods, by Pieter Wesseling.

25. Dynamical Systems and Ergodic Theory, by Mark Pollicott and Michiko Yuri.

26. Graph Theory, by Reinhard Diestel.

27. Available for self-study from The Trillia Group is Basic Concepts of Mathematics, by Elias Zakon.

28. Another one from The Trillia Group is An Introduction to the Theory of Numbers by Leo Moser.

29. Yet another from The Trillia Group is Mathematical Analysis I, by Elias Zakon.

30. Thanks to Malaspina Great Books, Mechanism of the Heavens (1831), by Mary Somerville, is available online. This second edition was prepared by Russell McNeil.

31. 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.

32. A Manual of Mathematical Ilustration, by Bill Casselman, shows, at several levels of sophistication, how to use PostScript for producing mathematical graphics.

33. Chebyshev and Fourier Spectral Methods (2nd. Edition), by John P. Boyd. This is the free online version of the Dover 2001 edition.

34. A Problem Course in Mathematical Logic, by Stefan Bilaniuk .

35. Concepts and Applications of Inferential Statistics, by Richard Lowry.

36. 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.
37. Out of print for sometime, but freely available is Graph Theory with Applications, by J. A. Bondy and U. S. R. Murty.
38. Yet another one out of print, but now freely available is Convergence of Stochastic Processes, by David Pollard.
39. Designed for undergraduate physics students is Mathematical Tools for Physics, by James Nearing.

40. Elementary Number Theory, by William Stein.

41. A Modern Course on Curves and Surfaces, by Richard Palais.

42. Not simply an online textbook, but certainly in the same spirit is the Topology Webcourse project undertaken by Topology Atlas.

43. Not really a textbook either, Constants, by Steven Finch, is, nevertheless, a nice collection of essays. The title pretty much describes the subject.