Online Texts

Potential Theory - 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.
http://www.geocities.com/fabrikant_books/

Linear Algebra and Multidimensional Geometry - A textbook by Ruslan Sharipov (English and Russian versions).
http://www.geocities.com/r-sharipov/r4-b2.htm

Dynamics and Chaos - 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.
http://www.mathphysics.com/dynam/

Multigrid Methods - "An Introduction to Multigrid Methods" by Pieter Wesseling.
http://www.mgnet.org/mgnet-books-wesseling.html

Linear Programming: Foundations and Extensions - Book by Robert J. Vanderbei in PDF.
http://www.princeton.edu/~rvdb/LPbook/

Finite Rank Torsion Free Modules Over Dedekind Domains - Monograph in commutative ring theory by Lee Lady. DVI and PDF.
http://www.math.hawaii.edu/~lee/book/

Travelling Wave Solutions of Parabolic Systems - Translation of a monograph by Aizik Volpert, Vitaly Volpert, and Vladimir Volpert published by AMS in 1994. Whole book or chapters in PDF.
http://www.ams.org/online_bks/mmono140/

Stochastic Calculus - 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.
http://www.chiark.greenend.org.uk/~alanb/

Semi-Simple Lie Algebras and their Representations - Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.
http://www-physics.lbl.gov/~rncahn/book.html

Math Wizard - E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.
http://home.earthlink.net/~susankennison/mathwizard/

Sheaf Cohomology - Mathematical notes on sheaves and other topics by P. Morandi.
http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html

Open Math Text Lecture Notes - Lecture notes on various topics (English and Spanish) in Word and PDF format.
http://openmathtext.org/downloads.html

Generatingfunctionology - By Herbert S. Wilf. Published by Academic Press. PDF.
http://www.math.upenn.edu/~wilf/DownldGF.html

Basic Concepts of Mathematics - 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.
http://www.trillia.com/zakon1.html

Numerical Recipes Books On-Line - The complete Numerical Recipes books in C, Fortran 77, and Fortran 90 On-Line, in both PostScript and Adobe Acrobat formats.
http://www.nr.com/nronline_switcher.html

Group Characters, Symmetric Functions, and the Hecke Algebra - A book by David M. Goldschmidt based on lecture notes of a course given at Berkeley in 1989.
http://www.ams.org/online_bks/ulect4/

Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem - Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI and Postscript.
http://www.emis.de/monographs/gilkey/

Entropy of Compact Group Automorphisms - Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.
http://www.mth.uea.ac.uk/~h720/lecturenotes/

Voting, Arbitration & Fair Division: Mathematics of Social Choice - An introduction to `social choice theory', which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra. Author: Marcus Pivato. [PDF]
http://xaravve.trentu.ca/pivato/Teaching/voting.pdf

Linearization via the Lie Derivative - By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
http://ejde.math.txstate.edu/Monographs/02/abstr.html

The FEMCI Book - Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
http://femci.gsfc.nasa.gov/femcibook.html

Global Analysis - "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.
http://www.ams.org/online_bks/surv53/

Natural Operations in Differential Geometry - By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF.
http://www.emis.de/monographs/KSM/

Finite Simple Groups - "The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF.
http://www.ams.org/online_bks/surv40-1/

Linear Partial Differential Equations and Fourier Theory - Complete textbook by Marcus Pivato on the solutions of linear partial differential equations, with emphasis on eigenfunction methods (and hence, Fourier analysis). Lots of pictures. [PDF]
http://xaravve.trentu.ca/pde.pdf

Lecture notes by László Lovász - Discrete mathematics topics in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
http://www.cs.elte.hu/~lovasz/notes.html

Finite Fields - An Introduction to Finite Fields by Bill Cherowitzo (html).
http://www-math.cudenver.edu/~wcherowi/courses/finflds.html

Plane Geometry - 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.
http://www.math.rutgers.edu/~zeilberg/GT.html

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - A monograph by Ralph Showalter in PDF.
http://www.ams.org/online_bks/surv49/

Mathematical Methods of Engineering Analysis - Book by Erhan Çinlar and Robert J. Vanderbei. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration. [PDF]
http://www.princeton.edu/~rvdb/506book/book.pdf

Tensor Calculus and Continuum Mechanics - Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.
http://www.math.odu.edu/~jhh/counter2.html

Inverse Problems - Lecture notes by Sze Tan.
http://www.phy.auckland.ac.nz/Staff/smt/453707SC.html

Complex Dynamics in Higher Dimensions - CBMS lecture notes by John Erik Fornæss at the bottom of page with other papers by the author and Nessim Sibony. PostScript.
http://www.math.lsa.umich.edu/~fornaess/ComplexDynamicsI.ps

Templates for the Solution of Linear Systems - Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html

Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners - Several books by Richard Melrose et al. in PostScript.
http://www-math.mit.edu/~rbm/book.html

Matrices - The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF.
http://www.ams.org/online_bks/coll17/

Integral And Differential Equations - Class notes by Jim Herod at Georgia Tech.
http://www.math.gatech.edu/~herod/4348/4348.html

Fractals in the Plane - Ergodic Theory Methods - A book by F. Przytycki and M. Urbanski in Postscript.
http://www.math.unt.edu/~urbanski/book1.html

Geometric Constraint Solving - An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
http://www.cs.purdue.edu/homes/cmh/electrobook/intro.html

Dynamical Systems - 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
http://www.ams.org/online_bks/coll9/

Mathematical Illustrations - A manual of geometry and PostScript by Bill Casselman, including code samples and packages.
http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/

Homeomorphisms in Analysis - 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.
http://www.ams.org/online_bks/surv54/

Meta Math! The Quest for Omega - A mathematical and philosophical book by Gregory Chaitin on logic, information theory, complexity, etc. (available in html or pdf).
http://www.umcs.maine.edu/~chaitin/omega.html

Numerics - Interactive - In this 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. [PDF]
http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf

Lecture Notes on Optimization - By Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming. [PDF]
http://paleale.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf

Splines and Wavelets - A monograph by Karl Scherer in German (DVI and Postscript).
http://www.iam.uni-bonn.de/~scherer/wavelets.html

Dynamical Systems and Fractals - Lecture Notes by David J. Wright in HTML.
http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html

Mechanism of the Heavens - A book on celestial mechanics by Mary Somerville (1831).
http://www.malaspina.com/etext/heavens.htm

Complex-Analytic Geometry of Complex Parallelizable Manifolds - Monograph by Jörg Winkelmann.
http://www.iecn.u-nancy.fr/~winkelma/mirror/unibas/cplx/papers/gca.html

Linear Methods of Applied Mathematics - 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.
http://www.mathphysics.com/pde/

Mathematical Modeling in a Real and Complex World - Online guide book by Frank Wattenberg in HTML.
http://www.math.montana.edu/frankw/ccp/modeling/topic.htm

Numerical Grid Generation - A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.
http://www.erc.msstate.edu/publications/gridbook/

Physics, Invariant Theory, Modular Forms, and Algebraic Geometry - Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
http://www.math.lsa.umich.edu/~idolga/lecturenotes.html

Practical Foundations of Mathematics - 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.
http://www.cs.man.ac.uk/~pt/Practical_Foundations/index.html

Dynamics in One Complex Variable: Introductory Lectures - Lecture notes by John Milnor in TeX and PostScript.
http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5

Harmonic Analysis and Partial Differential Equations - A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish).
http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/

Fundamentals of Model Theory - Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.
http://at.yorku.ca/i/a/a/i/10.htm

Tensor analysis - A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions).
http://www.geocities.com/r-sharipov/r4-b6.htm

Mathematical Principles of Natural Philosophy - Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
http://members.tripod.com/~gravitee/

Spinors, Spectral Geometry, and Riemannian Submersions - Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and PostScript.
http://www.emis.de/monographs/GLP/

Matrix Analysis and Applied Linear Algebra - By Carl D. Meyer. Full text in PDF with errata, updates and solutions.
http://www.matrixanalysis.com/

The Limits of Mathematics - An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
http://www.umcs.maine.edu/~chaitin/lm.html

Finite Applied Associative Algebra (semigroups) & Digital Networks - A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
http://home.claranet.nl/users/benschop/

Multiplier Ideals for Algebraic Geometers - Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript.
http://www.math.lsa.umich.edu/~rlaz/

Several complex variables - 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.
http://www-fourier.ujf-grenoble.fr/~demailly/lectures.html

Theory of Symmetry and Ornament - Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML
http://www.emis.de/monographs/jablan/