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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. |
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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. |
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Generatingfunctionology - http://www.math.upenn.edu/~wilf/DownldGF.html
By Herbert S. Wilf. Published by Academic Press. PDF. |
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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. |
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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. |
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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. |
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Matrix Analysis and Applied Linear Algebra - http://www.matrixanalysis.com/
By Carl D. Meyer. Full text in PDF with errata, updates and solutions. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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 |
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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). |
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Mathematical Principles of Natural Philosophy - http://members.tripod.com/~gravitee/
Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete). |
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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. |
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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. |
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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. |
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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. |
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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. |
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Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - http://www.ams.org/online_bks/surv49/
A monograph by Ralph Showalter in PDF. |
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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. |
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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". |
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Integral and Differential Equations - http://www.math.gatech.edu/~herod/4348/4348.html
Class notes by Jim Herod at Georgia Tech. |
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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. |
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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. |
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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. |
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Finite Fields - http://www-math.cudenver.edu/~wcherowi/courses/finflds.html
An Introduction to Finite Fields by Bill Cherowitzo (html). |
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Numerical Grid Generation - http://www.erc.msstate.edu/publications/gridbook/
A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML. |
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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. |
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Sheaf Cohomology - http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html
Mathematical notes on sheaves and other topics by P. Morandi. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |