ABC Directory : Science : Math : Publications : Online Texts :

http://www.cis.upenn.edu/~wilf/AeqB.html

Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
http://www.cis.upenn.edu/~wilf/AeqB.html

Abstract Algebra

A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML.
http://web.usna.navy.mil/~wdj/book/

$http://www.math.niu.edu/~beachy/abstract_algebraII/$

Abstract Algebra II

A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
http://www.math.niu.edu/~beachy/abstract_algebraII/

http://www.millersville.edu/~bikenaga/absalg/absanote.html

Abstract Algebra Notes

A collection of short notes by Bruce Ikenaga in PostScript.
http://www.millersville.edu/~bikenaga/absalg/absanote.html

http://euler.slu.edu/Dept/Faculty/rainbolt/manual.html

Abstract Algebra with GAP

A laboratory manual by J. G. Rainbolt and J. A. Gallian.
http://euler.slu.edu/Dept/Faculty/rainbolt/manual.html

http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Advanced Calculus and Analysis

Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

$http://www.math.uga.edu/%7eroy/$

Algebra notes

Roy Smith's course notes in linear algebra, elementary abstract algebra, basic graduate algebra, and a survey of the Riemann-Roch theorem from Riemann to Hirzebruch.
http://www.math.uga.edu/%7eroy/

http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html

Algebraic Combinatorics via Finite Group Actions

HTML book by A. Betten, H. Fripertinger, and A. Kerber.
http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html

$http://www.jmilne.org/math/$

Algebraic Geometry

Various lecture notes by J.S. Milne.
http://www.jmilne.org/math/

$http://math.rutgers.edu/~weibel/Kbook.html$

Algebraic K-theory

"An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
http://math.rutgers.edu/~weibel/Kbook.html

Algebraic Topology

1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
http://www.ams.org/online_bks/coll27/

http://www.cis.upenn.edu/~wilf/AlgComp3.html

Algorithms and Complexity

By Herbert S. Wilf. In print 1986-1994. Single PDF file.
http://www.cis.upenn.edu/~wilf/AlgComp3.html

$http://www.math.unl.edu/~webnotes/home/home.htm$

Analysis WebNotes

Online course by John Lindsay Orr. Chapters also available in LaTeX.
http://www.math.unl.edu/~webnotes/home/home.htm

http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf

Analytic Differential Equations

Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf

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

$http://www.unige.ch/math/biblio/preprint/cstar/liste.html$

C*-Algebras

"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.
http://www.unige.ch/math/biblio/preprint/cstar/liste.html

http://ocw.mit.edu/ans7870/textbooks/Strang/strangtext.htm

Calculus

Textbook by Gilbert Strang in pdf.
http://ocw.mit.edu/ans7870/textbooks/Strang/strangtext.htm

$http://www.math.wisc.edu/~keisler/calc.html$

Calculus Using Infinitesimals

Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986)
http://www.math.wisc.edu/~keisler/calc.html

http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html

Category Theory

"A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.
http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html

Chaos

Introduction To Chaos by Michael Cross. An online course at Caltech.
http://www.cmp.caltech.edu/~mcc/Chaos_Course/Outline.html

$http://math.sfsu.edu/beck/complex.html$

Complex Analysis

"A First Course in Complex Analysis" by Matthias Beck, Gerald Marchesi, and Dennis Pixton is a set of lecture notes for a one-semester undergraduate course, relying on as few concepts from real analysis as possible. Numerous exercises are includ
http://math.sfsu.edu/beck/complex.html

$http://www.math.lsa.umich.edu/~fornaess/complexdynamicspapers.html$

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/complexdynamicspapers.html

Complex Numbers

Dave's Short Course on Complex Numbers (David Joyce).
http://www.clarku.edu/~djoyce/complex/

$http://www.math.purdue.edu/~dvb/book.html$

Complex algebraic varieties and their cohomology

A book of notes by Donu Arapura.
http://www.math.purdue.edu/~dvb/book.html

$http://math.harvard.edu/~ctm/past.html$

Complex analysis and dynamics

Various lecture notes C. McMullen
http://math.harvard.edu/~ctm/past.html

http://www-fourier.ujf-grenoble.fr/~demailly/books.html

Complex analytic and algebraic geometry

Book by Jean-Pierre Demailly in PostScript.
http://www-fourier.ujf-grenoble.fr/~demailly/books.html

$http://www.math.psu.edu/dna/502.s97/$

Complex and Functional Analysis

Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.
http://www.math.psu.edu/dna/502.s97/

http://www.iecn.u-nancy.fr/~winkelma/mirror/unibas/cplx/papers/gca.html

Complex-Analytic Geometry of Complex Parallelizable Manifolds

Monograph by Jörg Winkelmann.
http://www.iecn.u-nancy.fr/~winkelma/mirror/unibas/cplx/papers/gca.html

http://www.cs.tamu.edu/faculty/chen/notes/

Computational Geometry and Computational Optimization

Lecture notes by Jianer Chen in PostScript.
http://www.cs.tamu.edu/faculty/chen/notes/

http://www.inf.unibz.it/~franconi/dl/course/

Description Logics Handbook

A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)
http://www.inf.unibz.it/~franconi/dl/course/

$http://math.berkeley.edu/~wodzicki/214/$

Differentiable manifolds

Lecture notes by Mariusz Wodzicki in postscript or pdf.
http://math.berkeley.edu/~wodzicki/214/

Differential Algebra

Scans of Ritt's 1950 classic in PDF.
http://www.ams.org/online_bks/coll33/

http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html

Differential Equations

Postscript notes on various topics in differential equations by Bruce Ikenaga.
http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html

http://internal.maths.adelaide.edu.au/people/mmurray/dg_hons/dg_hons.html

Differential Geometry

Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
http://internal.maths.adelaide.edu.au/people/mmurray/dg_hons/dg_hons.html

http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html

Differential Geometry and General Relativity

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.
http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html

http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm

Differential Geometry and Physics

Lecture notes by Gabriel Lugo.
http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm

$http://www.math.binghamton.edu/matt/$

Differential Topology

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, roo
http://www.math.binghamton.edu/matt/

$http://www.math.purdue.edu/~dvb/$

Differential forms

An introduction to differential forms and other notes by Donu Arapura.
http://www.math.purdue.edu/~dvb/

http://www.mth.kcl.ac.uk/~ysafarov/Lectures/

Distributions, Fourier Transforms and Microlocal Analysis

A short course by Yuri Safarov
http://www.mth.kcl.ac.uk/~ysafarov/Lectures/

Dynamical Systems

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

$http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html$

Dynamical Systems and Fractals

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

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
http://www.mathphysics.com/dynam/

$http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5$

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

$http://www.math.miami.edu/~ec/book/$

Elements of Abstract and Linear Algebra

Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.
http://www.math.miami.edu/~ec/book/

http://www.mth.uea.ac.uk/~h720/lecturenotes/

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/

http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

Euclid's Elements

Edited by D.E. Joyce. HTML text with Java applets.
http://aleph0.clarku.edu/~djoyce/java/elements/toc.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/

$http://www-math.cudenver.edu/~wcherowi/courses/finflds.html$

Finite Fields

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

$http://www.math.hawaii.edu/~lee/book/$

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/

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/

Flatland

A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
http://www.geom.uiuc.edu/~banchoff/Flatland/

$http://www.math.unt.edu/~urbanski/book1.html$

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

$http://www.math.umn.edu/~garrett/m/fun/$

Functional Analysis

Lecture notes by Paul Garrett.
http://www.math.umn.edu/~garrett/m/fun/

Functional Analysis and Semi-Groups

Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.
http://www.ams.org/online_bks/coll31/

Fundamental Problems in Algorithmic Algebra

Book by Chee Yap published by Oxford University Press in 1999.
http://www.cs.nyu.edu/yap/book/

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

$http://www.math.upenn.edu/~wilf/DownldGF.html$

Generatingfunctionology

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

Geometric Asymptotics

This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
http://www.ams.org/online_bks/surv14/

http://www.cs.purdue.edu/homes/cmh/electrobook/intro.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

http://www.geom.uiuc.edu/docs/education/institute91/

Geometry and the Imagination

An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
http://www.geom.uiuc.edu/docs/education/institute91/

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
http://www.ams.org/online_bks/surv53/

$http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/$

Graph Theory

Hyperlinked PDF version of a book by Reinhard Diestel.
http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/

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/

$http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/$

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/

$http://ejde.math.txstate.edu/Monographs/01/abstr.html$

Hilbert Space Methods for Partial Differential Equations

Textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.
http://ejde.math.txstate.edu/Monographs/01/abstr.html

History of mathematics

Notes by Donald Lancon, Jr. Contains a brief history of calculus and other interesting stuff.
http://www.obkb.com/dcljr/mathemat.html

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/

$http://www-math.mit.edu/~rbm/book.html$

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

$http://www.math.gatech.edu/~herod/4348/4348.html$

Integral And Differential Equations

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

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/

http://www.phy.auckland.ac.nz/Staff/smt/453707SC.html

Inverse Problems

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

$http://justpasha.org/math/links/subj/lie/kaplansky/$

Lie superalgebras

Irving Kaplansky's material on Lie superalgebras.
http://justpasha.org/math/links/subj/lie/kaplansky/

Linear Algebra

"Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
http://www.numbertheory.org/book/

$http://www.math.unl.edu/~tshores1/linalgtext.html$

Linear Algebra and Applications

Textbook by Thomas Shores. GIFs of pages.
http://www.math.unl.edu/~tshores1/linalgtext.html

$http://www.math.gatech.edu/~herod/Hspace/Hspace.html$

Linear Algebra, Infinite Dimensions, and Maple

A textbook by James Herod.
http://www.math.gatech.edu/~herod/Hspace/Hspace.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/

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.
http://xaravve.trentu.ca/pde.pdf

Linear Programming: Foundations and Extensions

Book by Robert J. Vanderbei in PDF.
http://www.princeton.edu/~rvdb/LPbook/

$http://ejde.math.txstate.edu/Monographs/02/abstr.html$

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

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/

http://www.trillia.com/zakon-analysisI.html

Mathematical Analysis I

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.
http://www.trillia.com/zakon-analysisI.html

$http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/$

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/

$http://euclid.trentu.ca/math/sb/pcml/$

Mathematical Logic

"A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.
http://euclid.trentu.ca/math/sb/pcml/

http://www.princeton.edu/~rvdb/506book/book.pdf

Mathematical Methods of Engineering Analysis

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.
http://www.princeton.edu/~rvdb/506book/book.pdf

$http://www.math.montana.edu/frankw/ccp/modeling/topic.htm$

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

Matrices

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

Matrix Analysis and Applied Linear Algebra

By Carl D. Meyer. Full text in PDF with errata, updates and solutions.
http://www.matrixanalysis.com/

Matroid Decomposition

Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.
http://www.emis.de/monographs/md/

http://www.essex.ac.uk/maths/staff/fremlin/mt.htm

Measure Theory

A book by D.H. Fremlin. Plain tex sources.
http://www.essex.ac.uk/maths/staff/fremlin/mt.htm

http://www.malaspina.com/etext/heavens.htm

Mechanism of the Heavens

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

http://www.umcs.maine.edu/~chaitin/omega.html

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

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations

A monograph by Ralph Showalter in PDF.
http://www.ams.org/online_bks/surv49/

http://www.mgnet.org/mgnet-books-wesseling.html

Multigrid Methods

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

$http://www.math.lsa.umich.edu/~rlaz/$

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/

$http://www.math.gatech.edu/~cain/notes/calculus.html$

Multivariable Calculus

Textbook by George Cain and James Herod. Chapters in PDF.
http://www.math.gatech.edu/~cain/notes/calculus.html

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/

http://www.trillia.com/moser-number.html

Number Theory

"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 Num
http://www.trillia.com/moser-number.html

http://www.erc.msstate.edu/publications/gridbook/

Numerical Grid Generation

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

http://www.nr.com/nronline_switcher.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

http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf

Numerics - interactive

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
http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf

Open Math Text Lecture Notes

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

http://www-path.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf

Optimization

"Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.
http://www-path.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf

$http://www.math.utah.edu/~schmitt/math6410.html$

Ordinary Differential Equations

Course notes by Klaus Schmitt at the University of Utah.
http://www.math.utah.edu/~schmitt/math6410.html

$http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm$

Partial Differential Equations

Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm

$http://www.math.lsa.umich.edu/~idolga/lecturenotes.html$

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

$http://www.math.rutgers.edu/~zeilberg/GT.html$

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

http://www.dcs.qmw.ac.uk/~pt/Practical_Foundations/html/summary.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.dcs.qmw.ac.uk/~pt/Practical_Foundations/html/summary.html

Probability

"Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.
http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html

Probability guide for non-mathematicians

Probability theory basics, applications (including to gambling), interpretations, books, free texts.
http://probability.infarom.ro/

http://www.maths.lth.se/publications/Pure-Lecture-Notes.html

Riemannian Geometry

"An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996).
http://www.maths.lth.se/publications/Pure-Lecture-Notes.html

http://www-physics.lbl.gov/~rncahn/book.html

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

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

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

http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html

Sheaf Cohomology

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

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/

http://www.iam.uni-bonn.de/~scherer/wavelets.html

Splines and Wavelets

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

http://www.chiark.greenend.org.uk/~alanb/

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/

http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html

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

$http://www.math.odu.edu/~jhh/counter2.html$

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

http://femci.gsfc.nasa.gov/femcibook.html

The FEMCI Book

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

http://www.umcs.maine.edu/~chaitin/lm.html

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

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/

http://www.maths.tcd.ie/~dwilkins/Courses/212/

Topology

Lecture notes by David R. Wilkins at Trinity College, Dublin.
http://www.maths.tcd.ie/~dwilkins/Courses/212/

Topology Course Lecture Notes

By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.
http://at.yorku.ca/i/a/a/b/23.htm

http://www.theassayer.org/cgi-bin/asauthor.cgi?author=430

Topology Without Tears

A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.
http://www.theassayer.org/cgi-bin/asauthor.cgi?author=430

$http://www.cwru.edu/artsci/math/wells/pub/ttt.html$

Toposes, Triples and Theories

A book by Michael Barr and Charles Wells originally published by Springer Verlag.
http://www.cwru.edu/artsci/math/wells/pub/ttt.html

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/

http://aleph0.clarku.edu/~djoyce/java/trig/

Trigonometry

"Dave's Short Trig Course" by D. E. Joyce. HTML with Java.
http://aleph0.clarku.edu/~djoyce/java/trig/

http://www.thoralf.uwaterloo.ca/htdocs/ualg.html

Universal Algebra

"A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
http://www.thoralf.uwaterloo.ca/htdocs/ualg.html

http://xaravve.trentu.ca/pivato/Teaching/voting.pdf

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 Pi
http://xaravve.trentu.ca/pivato/Teaching/voting.pdf

http://users.rowan.edu/~polikar/WAVELETS/WTtutorial.html

Wavelet Tutorial

Guide to wavelet analysis by Robi Polikar.
http://users.rowan.edu/~polikar/WAVELETS/WTtutorial.html

http://www.amara.com/IEEEwave/IEEEwavelet.html

Wavelets

An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
http://www.amara.com/IEEEwave/IEEEwavelet.html

$http://www.math.vanderbilt.edu/~schectex/courses/whystudy.html$

Why study calculus?

A brief look at some of the history of mathematics by Eric Schechter.
http://www.math.vanderbilt.edu/~schectex/courses/whystudy.html