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	AMS Books Online - http://www.ams.org/online_bks/online_subject.html#MP Provides downloadable books on a range of mathematical topics.
	Generatingfunctionology - http://www.math.upenn.edu/~wilf/DownldGF.html By Herbert S. Wilf. Published by Academic Press. PDF.
	Templates for the Solution of Linear Systems - http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
	Numerical Recipes Books On-Line - http://www.nr.com/nronline_switcher.html The complete Numerical Recipes books in C, Fortran 77, and Fortran 90 On-Line, in both PostScript and Adobe Acrobat formats.
	Basic Concepts of Mathematics - http://www.trillia.com/zakon1.html 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.

	Mechanism of the Heavens - http://www.malaspina.com/etext/heavens.htm A book on celestial mechanics by Mary Somerville (1831).
	Linear Programming: Foundations and Extensions - http://www.princeton.edu/~rvdb/LPbook/ Book by Robert J. Vanderbei in PDF.
	Group Characters, Symmetric Functions, and the Hecke Algebra - http://www.ams.org/online_bks/ulect4/ A book by David M. Goldschmidt based on lecture notes of a course given at Berkeley in 1989.
	Linearization via the Lie Derivative - http://ejde.math.txstate.edu/Monographs/02/abstr.html By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
	Voting, Arbitration & Fair Division: Mathematics of Social Choice - http://xaravve.trentu.ca/pivato/Teaching/voting.pdf 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.

	Tensor Calculus and Continuum Mechanics - http://www.math.odu.edu/~jhh/counter2.html Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.
	Spinors, Spectral Geometry, and Riemannian Submersions - http://www.emis.de/monographs/GLP/ Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and PostScript.
	Plane Geometry - http://www.math.rutgers.edu/~zeilberg/GT.html 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.
	Dynamical Systems and Fractals - http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html Lecture Notes by David J. Wright in HTML.
	Theory of Symmetry and Ornament - http://www.emis.de/monographs/jablan/ Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML

	Dynamics in One Complex Variable: Introductory Lectures - http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5 Lecture notes by John Milnor in TeX and PostScript.
	Finite Rank Torsion Free Modules Over Dedekind Domains - http://www.math.hawaii.edu/~lee/book/ Monograph in commutative ring theory by Lee Lady. DVI and PDF.
	Stochastic Calculus - http://www.chiark.greenend.org.uk/~alanb/ 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.
	The Limits of Mathematics - http://www.umcs.maine.edu/~chaitin/lm.html An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
	Index Theory, Geometric Scattering, and Differential Analysis on Manifolds with Corners - http://www-math.mit.edu/~rbm/book.html Several books by Richard Melrose et al. in PostScript.

	Matrix Analysis and Applied Linear Algebra - http://www.matrixanalysis.com/ By Carl D. Meyer. Full text in PDF with errata, updates and solutions.
	Physics, Invariant Theory, Modular Forms, and Algebraic Geometry - http://www.math.lsa.umich.edu/~idolga/lecturenotes.html Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
	Multiplier Ideals for Algebraic Geometers - http://www.math.lsa.umich.edu/~rlaz/ Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript.
	Mathematical Methods of Engineering Analysis - http://www.princeton.edu/~rvdb/506book/book.pdf Book by Erhan Çinlar and Robert J. Vanderbei. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration.
	Mathematical Modeling in a Real and Complex World - http://www.math.montana.edu/frankw/ccp/modeling/topic.htm Online guide book by Frank Wattenberg in HTML.

	Fractals in the Plane - Ergodic Theory Methods - http://www.math.unt.edu/~urbanski/book1.html A book by F. Przytycki and M. Urbanski in Postscript.
	Geometric Constraint Solving - http://www.cs.purdue.edu/homes/cmh/electrobook/intro.html An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
	Entropy of Compact Group Automorphisms - http://www.mth.uea.ac.uk/~h720/lecturenotes/ Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.
	Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem - http://www.emis.de/monographs/gilkey/ Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI and Postscript.
	Harmonic Analysis and Partial Differential Equations - http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/ A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish).

	Lecture Notes on Optimization - http://paleale.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf By Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.
	Lecture notes by László Lovász - http://www.cs.elte.hu/~lovasz/notes.html Discrete mathematics topics in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
	Chebyshev and Fourier Spectral Methods - http://www-personal.engin.umich.edu/~jpboyd/BOOK_Spectral2000.html A book by John P. Boyd (2nd edition) available from Dover.
	Travelling Wave Solutions of Parabolic Systems - http://www.ams.org/online_bks/mmono140/ Translation of a monograph by Aizik Volpert, Vitaly Volpert, and Vladimir Volpert published by AMS in 1994. Whole book or chapters in PDF.
	Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - http://www.ams.org/online_bks/surv49/ A monograph by Ralph Showalter in PDF.

	Homeomorphisms in Analysis - http://www.ams.org/online_bks/surv54/ 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.
	Linear Partial Differential Equations and Fourier Theory - http://xaravve.trentu.ca/pde.pdf 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.
	Meta Math! The Quest for Omega - http://www.umcs.maine.edu/~chaitin/omega.html A mathematical and philosophical book by Gregory Chaitin on logic, information theory, complexity, etc. (available in html or pdf).
	Practical Foundations of Mathematics - http://www.cs.man.ac.uk/~pt/Practical_Foundations/index.html 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.
	Dynamics and Chaos - http://www.mathphysics.com/dynam/ 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.

	Integral and Differential Equations - http://www.math.gatech.edu/~herod/4348/4348.html Class notes by Jim Herod at Georgia Tech.
	Numerics - Interactive - http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf 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.
	Splines and Wavelets - http://www.iam.uni-bonn.de/~scherer/wavelets.html A monograph by Karl Scherer in German (DVI and Postscript).
	Finite Simple Groups - http://www.ams.org/online_bks/surv40-1/ "The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF.
	Global Analysis - http://www.ams.org/online_bks/surv53/ "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.

	Several Complex Variables - http://www-fourier.ujf-grenoble.fr/~demailly/lectures.html 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.
	Finite Fields - http://www-math.cudenver.edu/~wcherowi/courses/finflds.html An Introduction to Finite Fields by Bill Cherowitzo (html).
	Sheaf Cohomology - http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html Mathematical notes on sheaves and other topics by P. Morandi.
	Math Wizard - http://home.earthlink.net/~susankennison/mathwizard/ E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.
	Open Math Text Lecture Notes - http://openmathtext.org/downloads.html Lecture notes on various topics (English and Spanish) in Word and PDF format.

	The FEMCI Book - http://femci.gsfc.nasa.gov/femcibook.html Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
	Mathematical Principles of Natural Philosophy - http://members.tripod.com/~gravitee/ Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
	Numerical Grid Generation - http://www.erc.msstate.edu/publications/gridbook/ A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.
	Semi-Simple Lie Algebras and their Representations - http://phyweb.lbl.gov/~rncahn/www/liealgebras/texall.pdf Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.
	Finite Applied Associative Algebra (semigroups) & Digital Networks - http://home.claranet.nl/users/benschop/ A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.

	Linear Methods of Applied Mathematics - http://www.mathphysics.com/pde/ 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.
	Complex-Analytic Geometry of Complex Parallelizable Manifolds - http://www.iecn.u-nancy.fr/~winkelma/mirror/unibas/cplx/papers/gca.html Monograph by Jörg Winkelmann.
	Natural Operations in Differential Geometry - http://www.emis.de/monographs/KSM/ By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF.
	Mathematical Illustrations - http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ A manual of geometry and PostScript by Bill Casselman, including code samples and packages.
	Multigrid Methods - http://www.mgnet.org/mgnet-books-wesseling.html "An Introduction to Multigrid Methods" by Pieter Wesseling.

	Fundamentals of Model Theory - http://at.yorku.ca/i/a/a/i/10.htm Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.
	Analysis - http://www.mth.kcl.ac.uk/courses/cm221.html Lecture notes by Yuri Safarov.
	Complex Analysis - http://www.mth.kcl.ac.uk/courses/cm322.html Lecture notes by Yuri Safarov.

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