Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.

Three books by Robert B. Ash (chapters in PDF): Abstract Algebra: The Basic Graduate Year, A Course In Algebraic Number Theory, and A Course In Commutative Algebra.

Lecture notes by David Wilkins at Trinity College, Dublin.

"Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.

Course notes by J.S. Milne. Topics covered are group, fields and Galois, algebraic number, class field theories. Other areas discussed are modular functions and forms, elliptic curves, algebraic geometry, Etale Cohomology, and Abelian varieties. In HTML, PDF, PostScript and DVI formats.

A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML.

A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.

A collection of short notes by Bruce Ikenaga in PostScript.

A laboratory manual by J. G. Rainbolt and J. A. Gallian.

Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.

HTML book by A. Betten, H. Fripertinger, and A. Kerber.

A. Grothendieck's "Séminaire de Géometrie Algébrique" produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.

Various lecture notes by J.S. Milne.

"An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.

Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.

1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.

By Herbert S. Wilf. In print 1986-1994. Single PDF file.

Online course by John Lindsay Orr. Chapters also available in LaTeX.

Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.

1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.

This text by Elias Zakon helps the student complete the transition from purely manipulative to rigorous mathematics. Chapters cover Set Theory, the Real Numbers, and n-dimensional Geometry.

"An Introduction to C*-Algebras" by Pierre de la Harpe and Vaughan Jones. The site is in French, but the book is in English. Chapters in PostScript.

"Advanced Calculus" by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.

"The Calculus Bible" by G. S. Gill.

Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986)

"A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.

Introduction To Chaos by Michael Cross. An online course at Caltech.

A book by John P. Boyd (2nd edition) available from Dover.

A book of notes by Donu Arapura.

Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.

Course notes by Harold V. McIntosh in HTML.

Course notes and quizzes by Paul Scott in HTML.

Various lecture notes C. McMullen

Book by Jean-Pierre Demailly in PostScript.

Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.

CBMS lecture notes by John Erik Fornæss at the bottom of page with other papers by the author and Nessim Sibony. PostScript.

Dave's Short Course on Complex Numbers (David Joyce).

Monograph by Jörg Winkelmann. Chapters in DVI.

Lecture notes by Jianer Chen in PostScript.

A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)

Lecture notes by Mariusz Wodzicki in postscript or pdf.

Scans of Ritt's 1950 classic in PDF.

Postscript notes on various topics in differential equations by Bruce Ikenaga.

An introduction to differential forms and other notes by Donu Arapura.

A textbook by Ruslan Sharipov (English and Russian versions).

Notes by Balázs Csikós. Chapters in PostScript.

Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural operations in differential geometry" (corrected version), "Transformation Groups", and "Gauge theory for fiber bundles" plus papers by the author in postscript.

Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.

Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.

Lecture notes by Gabriel Lugo.

An introduction to differential geometry and general relativity by Stefan Waner at Hofstra. This is an upper level undergraduate mathematics course which assumes a knowledge of calculus and some linear algebra.

Course notes by Matthew G. Brin in PostScript including "Introduction to Differential Topology", "Introduction to Seifert fibered 3-manifolds", "Groups acting on 1-dimensional spaces", and "Presentations, conjugacy, roots and centralizers in groups of piecewise linear homeomorphisms of the real line".

Lecture notes by László Lovász in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".

A short course by Yuri Safarov

1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.

"Lectures on Dynamical Systems and Ergodic Theory" by Mark Pollicott and Michiko Yuri. Published by Cambridge University Press in 1998 (London Mathematical Society Students Texts, No. 40).

Lecture Notes by David J. Wright in HTML.

Class notes by Evans M. Harrell II for an introductory course on dynamical systems and chaos, taken by mathematicians, engineers, and physicists. This text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos. Theorems are carefully stated, though only occasionally proved.

Lecture notes by John Milnor in TeX and PostScript.

Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.

Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.

Edited by D.E. Joyce. HTML text with Java applets.

A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.

Notes by Peter Hunter and Andrew Pullan in pdf.

Monograph in commutative ring theory by Lee Lady. DVI and PDF.

"The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF.

A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.

Lecture notes by Yuri Safarov.

A book by F. Przytycki and M. Urbanski in Postscript.

Lecture notes by Paul Garrett.

Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.

Book by Chee Yap published by Oxford University Press in 1999.

Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.

By Herbert S. Wilf. Published by Academic Press. PDF.

This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.

An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.

An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.

"The Convenient Setting of Global Analysis" - foundations of differential calculus in infinite dimensions with applications to differential geometry and global analysis by Andreas Kriegl and Peter W. Michor published by AMS in 1997. Whole book or chapters in crosslinked PDF.

Hyperlinked PDF version of a book by Reinhard Diestel.

A book by David M. Goldschmidt based on lecture notes of a course given at Berkeley in 1989.

A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish).

Textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.

Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus.

A survey by C. Goffman, T. Nishiura, D. Waterman in PDF. In particular, the effects of homeomorphic changes of domain on the analyticity of a function are studied.

Several books by Richard Melrose et al. in PostScript.

Class notes by Jim Herod at Georgia Tech.

"Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.

Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI and Postscript.

Lecture notes by Sze Tan.

Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.

"Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.

Textbook by Thomas Shores. GIFs of pages.

A textbook by Ruslan Sharipov (English and Russian versions).

A collection of mini-lessons in pdf format designed for self-instruction over the web by Jonathan Spingarn.

A textbook by James Herod.

Textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations by Evans M. Harrell II and James V. Herod. HTML, RTF and PDF with Maple and Mathematica worksheets.

Book by Robert J. Vanderbei in PDF.

By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.

Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF.

E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.

This text by Elias Zakon covers the basic topics of undergraduate real analysis including: metric spaces, function limits and continuity, sequences and series of functions, power series, and differentiation and integration.

A manual of geometry and PostScript by Bill Casselman, including code samples and packages.

"A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.

Book by Erhan Çinlar and Robert J. Vanderbei in PDF. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration.

Online guide book by Frank Wattenberg in HTML.

Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).

The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF.

By Carl D. Meyer. Full text in PDF with errata, updates and solutions.

Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.

A book on celestial mechanics by Mary Somerville (1831).

A mathematical and philosophical book by Gregory Chaitin on logic, information theory, complexity, etc. (available in html or pdf).

Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.

A monograph by Ralph Showalter in PDF.

"An Introduction to Multigrid Methods" by Pieter Wesseling.

Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript.

Textbook by George Cain and James Herod. Chapters in PDF.

By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF.

"An Introduction to the Theory of Numbers" by Leo Moser is a textbook covering following topics: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. The textbook can be downloaded in several formats in pdf. Licensing terms for various uses are described on the web page.

"Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML.

A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.

The complete Numerical Recipes books in C, Fortran 77, and Fortran 90 On-Line, in both PostScript and Adobe Acrobat formats.

In this PDF book by Thomas Risse, basic numerical algorithms are presented and implemented in order to determine the precision of computation, to solve systems of linear equations, to evaluate elementary functions, to find zeros, to integrate and to solve ordinary differential equations numerically. The performance of different algorithms can be compared.

"Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.

Course notes by Klaus Schmitt at the University of Utah.

Informal postscript notes for a course by Sheldon Newhouse at Michigan State.

"PDE Primer" by Ralph Showalter at Oregon State.

Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.

Maple lessons for an undergraduate course in Differential Equations by Jim Herod.

Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.

Shalosh B. Ekhad XIV. A fully illustrated and completely self-contained Elementary Geometry textbook (ca. 2050), downloaded from the future by Doron Zeilberger. Entirely written in Maple.

Two texts by V.I. Fabrikant: Applications of Potential Theory in Mechanics, Selection of New Results (1989); Mixed Boundary Value Problems of Potential Theory and their Applications in Engineering (1991). Text in PDF with figures separately in JPG.

An account of the foundations of mathematics (algebra) and theoretical computer science, from a modern constructive viewpoint by Paul Taylor. Published by Cambridge University Press. HTML approximation.

"Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.

Lecture notes by Yuri Safarov.

"An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996).

Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.

Several sets of lecture notes by Jean-Pierre Demailly, some in French, including "Potential theory in several complex variables", and "Multiplier ideal sheaves and analytic methods in algebraic geometry" in DVI or PostScript.

Mathematical notes on sheaves and other topics by P. Morandi.

Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and PostScript.

A monograph by Karl Scherer in German (DVI and Postscript).

A fairly complete elementary introduction to the basics of stochastic integration with respect to continuous semimartingales by Alan Bain. All the theory usually needed for basic mathematical finance. Sixty pages in dvi, postscript, and pdf.

Book on iterative methods by Richard Barrett et al. in HTML and Postscript.

A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions).

Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.

Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.

An online course on information theory and the limits of formal reasoning by G.J. Chaitin.

Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML

Lecture notes by David R. Wilkins at Trinity College, Dublin.

"Textbook in Problems on Elementary Topology" by Viro, Ivanov, Kharlamov and Netsvetaev - draft version in postscript. The page also includes several papers on real algebraic geometry.

By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.

A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.

A book by Michael Barr and Charles Wells originally published by Springer Verlag.

Translation of a monograph by Aizik Volpert, Vitaly Volpert, and Vladimir Volpert published by AMS in 1994. Whole book or chapters in PDF.

"Dave's Short Trig Course" by D. E. Joyce. HTML with Java.

"A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.

Guide to wavelet analysis by Robi Polikar.

An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.