Applied Cryptography - http://cacr.math.uwaterloo.ca/hac/
1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.
Trigonometry - http://aleph0.clarku.edu/~djoyce/java/trig/
"Dave's Short Trig Course" by D. E. Joyce. HTML with Java.
A=B - http://www.cis.upenn.edu/~wilf/AeqB.html
Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
Wavelets - http://www.amara.com/IEEEwave/IEEEwavelet.html
An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
Algebraic Topology - http://www.math.cornell.edu/~hatcher/
Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
Complex Numbers - http://www.clarku.edu/~djoyce/complex/
Dave's Short Course on Complex Numbers (David Joyce).
Mathematical Principles of Natural Philosophy - http://members.tripod.com/~gravitee/
Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
Euclid's Elements - http://aleph0.clarku.edu/~djoyce/java/elem...ements/toc.html
Edited by D.E. Joyce. HTML text with Java applets.
Algebraic Geometry - http://www.jmilne.org/math/
Various lecture notes by J.S. Milne.
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.
Description Logics Handbook - http://www.inf.unibz.it/~franconi/dl/course/
A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)
Probability - http://www.dartmouth.edu/~chance/teaching_..._book/book.html
"Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.
Graph Theory - http://www.math.uni-hamburg.de/home/dieste...y/download.html
Hyperlinked PDF version of a book by Reinhard Diestel.
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.
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.
Category Theory - http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html
"A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.
Practical Foundations of Mathematics - http://www.dcs.qmw.ac.uk/~pt/Practical_Fou...ml/summary.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.
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.
Functional Analysis and Semi-Groups - http://www.ams.org/online_bks/coll31/
Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.
Elements of Abstract and Linear Algebra - http://www.math.miami.edu/~ec/book/
Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.
Templates for the Solution of Linear Systems - http://netlib2.cs.utk.edu/linalg/html_temp.../Templates.html
Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
Dynamical Systems - http://www.ams.org/online_bks/coll9/
1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
Geometric Asymptotics - http://www.ams.org/online_bks/surv14/
This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
Algebraic Topology - http://www.ams.org/online_bks/coll27/
1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned 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.
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - http://www.ams.org/online_bks/surv49/
A monograph by Ralph Showalter in PDF.
Topology Course Lecture Notes - http://at.yorku.ca/i/a/a/b/23.htm
By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.
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
Differential Algebra - http://www.ams.org/online_bks/coll33/
Scans of Ritt's 1950 classic in PDF.
Matrices - http://www.ams.org/online_bks/coll17/
The 1934 classic "Lectures on Matrices" by Wedderburn in scanned 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.
Hilbert Space Methods for Partial Differential Equations - http://ejde.math.swt.edu/Monographs/01/abstr.html
textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.
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.
Generatingfunctionology - http://www.math.upenn.edu/~wilf/DownldGF.html
By Herbert S. Wilf. Published by Academic Press. 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.
Analysis WebNotes - http://www.math.unl.edu/~webnotes/home/home.htm
Online course by John Lindsay Orr. Chapters also available in LaTeX.
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.
Abstract Algebra - http://www.maths.tcd.ie/~dwilkins/Courses/311/
Lecture notes by David Wilkins at Trinity College, Dublin.
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.
Linearization via the Lie Derivative - http://ejde.math.swt.edu/Monographs/02/abstr.html
By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
Topology - http://www.maths.tcd.ie/~dwilkins/Courses/212/
Lecture notes by David R. Wilkins at Trinity College, Dublin.
Abstract Algebra - http://www.math.uiuc.edu/~r-ash/
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.
Mechanism of the Heavens - http://www.malaspina.com/etext/heavens.htm
A book on celestial mechanics by Mary Somerville (1831).
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.
Advanced Calculus and Analysis - http://www.maths.abdn.ac.uk/~igc/tch/ma200...otes/notes.html
Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
Multigrid Methods - http://www.mgnet.org/mgnet-books-wesseling.html
"An Introduction to Multigrid Methods" by Pieter Wesseling.
Differential Gometry and General Relativity - http://people.hofstra.edu/faculty/Stefan_W...ff_geom/tc.html
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.
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.
Matroid Decomposition - http://www.emis.de/monographs/md/
Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.
Physics, Invariant Theory, Modular Forms, and Algebraic Geometry - http://www.math.lsa.umich.edu/~idolga/lect...cturenotes.html
Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
Universal Algebra - http://www.thoralf.uwaterloo.ca/htdocs/ualg.html
"A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
Toposes, Triples and Theories - http://www.cwru.edu/artsci/math/wells/pub/ttt.html
A book by Michael Barr and Charles Wells originally published by Springer Verlag.
Abstract Algebra II - http://www.math.niu.edu/~beachy/abstract_algebraII/
A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
Algorithms and Complexity - http://www.cis.upenn.edu/~wilf/AlgComp3.html
By Herbert S. Wilf. In print 1986-1994. Single PDF file.
Linear Algebra - http://www.numbertheory.org/book/
"Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
Complex Analysis - http://www.math.gatech.edu/~cain/winter99/complex.html
Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
Mathematical Modeling in a Real and Complex World - http://www.math.montana.edu/frankw/ccp/mod...eling/topic.htm
Online guide book by Frank Wattenberg in HTML.
Matrix Analysis and Applied Linear Algebra - http://www.matrixanalysis.com/
By Carl D. Meyer. Full text in PDF with errata, updates and solutions.
Linear Programming: Foundations and Extensions - http://www.princeton.edu/~rvdb/LPbook/
Book by Robert J. Vanderbei in PDF.
Dynamical Systems and Fractals - http://www.math.okstate.edu/mathdept/dynam...s/lecnotes.html
Lecture Notes by David J. Wright in HTML.
Algebraic Geometry - http://modular.fas.harvard.edu/sga/sga/
A. Grothendieck's "S閙inaire de G閛metrie Alg閎rique" produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.
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.
Chaos - http://www.cmp.caltech.edu/~mcc/Chaos_Cour...se/Outline.html
Introduction To Chaos by Michael Cross. An online course at Caltech.
Linear Algebra and Applications - http://www.math.unl.edu/~tshores/linalgtext.html
Textbook by Thomas Shores. GIFs of pages.
Mathematical Analysis I - http://www.trillia.com/zakon-analysisI.html
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.
Differential Topology - http://www.math.binghamton.edu/matt/
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".
Stochastic Calculus - http://www.statslab.cam.ac.uk/~afrb2/
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.
Multivariable Calculus - http://www.math.gatech.edu/~cain/notes/calculus.html
Textbook by George Cain and James Herod. Chapters in PDF.
C*-Algebras - http://www.unige.ch/math/biblio/preprint/c...star/liste.html
"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.
Abstract Algebra - http://www.jmilne.org/math/CourseNotes/
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.
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.
Differential Geometry - http://www.mat.univie.ac.at/~michor/listpubl.html
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.
Interactive Real Analysis - http://www.shu.edu/html/teaching/math/reals/reals.html
"Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
Algebraic K-theory - http://math.rutgers.edu/~weibel/Kbook.html
"An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
Geometric Constraint Solving - http://www.cs.purdue.edu:80/homes/cmh/elec...book/intro.html
An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
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.
Number Theory - http://www.trillia.com/moser-number.html
"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.
Linear Algebra - http://joshua.smcvt.edu/linalg.html
Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.
Differential Geometry - http://www.maths.adelaide.edu.au/pure/mmur...ns/dg_hons.html
Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
Inverse Problems - http://www.phy.auckland.ac.nz/Staff/smt/453707SC.html
Lecture notes by Sze Tan.
Algebraic Combinatorics via Finite Group Actions - http://www.mathe2.uni-bayreuth.de/frib/htm...book/hyl00.html
HTML book by A. Betten, H. Fripertinger, and A. Kerber.
Complex algebraic varieties and their cohomology - http://www.math.purdue.edu/~dvb/book.html
A book of notes by Donu Arapura.
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.
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.
Mixed Motives - http://www.ams.org/online_bks/surv57/surv57.pdf
Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
Geometry and the Imagination - http://www.geom.uiuc.edu/docs/education/institute91/
An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
Functional Analysis - http://www.math.umn.edu/~garrett/m/fun/
Lecture notes by Paul Garrett.
Calculus Using Infinitesimals - http://www.math.wisc.edu/~keisler/calc.html
Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986)
Analytic Differential Equations - http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
Discrete Mathematics - http://research.microsoft.com/users/lovasz/notes.htm
Lecture notes by L醩zl?Lov醩z in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
Fourier Analysis - http://www.mth.kcl.ac.uk/~ysafarov/Lecture...rier/index.html
Lecture notes by Yuri Safarov.
Differential Geometry - http://www.wisdom.weizmann.ac.il/~yakov/Geometry/
Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
Mathematical Illustrations - http://www.math.ubc.ca/people/faculty/cass...phics/text/www/
A manual of geometry and PostScript by Bill Casselman, including code samples and packages.
Flatland - http://www.geom.uiuc.edu/~banchoff/Flatland/
A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
Entropy of Compact Group Automorphisms - http://www.mth.uea.ac.uk/~h720/lecture_notes/
Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.
Complex analytic and algebraic geometry - http://www-fourier.ujf-grenoble.fr/~demail...illy/books.html
Book by Jean-Pierre Demailly in PostScript.
Linear Algebra, Infinite Dimensions, and Maple - http://www.math.gatech.edu/~herod/Hspace/Hspace.html
A textbook by James Herod.
Topology - http://www.math.uu.se/~oleg/educ-texts.html
"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.
Calculus - http://www.math.harvard.edu/people/Sternbe...bergShlomo.html
"Advanced Calculus" by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.
Numerical Grid Generation - http://www.erc.msstate.edu/publications/gridbook/
A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.
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).
Dynamical Systems and Ergodic Theory - http://www.ma.man.ac.uk/~mp/book.html
"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).
Abstract Algebra with GAP - http://euler.slu.edu/Dept/Faculty/rainbolt/manual.html
A laboratory manual by J. G. Rainbolt and J. A. Gallian.
Chebyshev and Fourier Spectral Methods - http://www-personal.engin.umich.edu/~jpboy...ectral2000.html
A book by John P. Boyd (2nd edition) available from Dover.
Wavelet Tutorial - http://users.rowan.edu/~polikar/WAVELETS/W...WTtutorial.html
Guide to wavelet analysis by Robi Polikar.
Calculus - http://www.math.byu.edu/Math/CalculusBible/
"The Calculus Bible" by G. S. Gill.
Several complex variables - http://www-fourier.ujf-grenoble.fr/~demail...y/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.
Fundamental Problems in Algorithmic Algebra - http://www.cs.nyu.edu/yap/book/
Book by Chee Yap published by Oxford University Press in 1999.
Semi-Simple Lie Algebras and their Representations - http://www-physics.lbl.gov/~rncahn/book.html
Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.
Distributions, Fourier Transforms and Microlocal Analysis - http://www.mth.kcl.ac.uk/~ysafarov/Lectures/
A short course by Yuri Safarov
Numerics - interactive - http://www.weblearn.hs-bremen.de/risse/MAI...cs/numerics.pdf
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.
Complex and Functional Analysis - http://www.math.psu.edu/dna/502.s97/
Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.
Differential Geometry - http://www.cs.elte.hu/geometry/csikos/dif/dif.html
Notes by Bal醶s Csik髎. Chapters in PostScript.
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.
Computational Geometry and Computational Optimization - http://www.cs.tamu.edu/faculty/chen/notes/
Lecture notes by Jianer Chen in PostScript.
Ordinary Differential Equations - http://www.math.utah.edu/~schmitt/math6410.html
Course notes by Klaus Schmitt at the University of Utah.
Partial Differential Equations - http://www.mapleapps.com/powertools/pdes/pdes.shtml
Maple lessons for an undergraduate course in Differential Equations by Jim Herod.
Abstract Algebra - http://web.usna.navy.mil/~wdj/book/
A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML.
Riemannian Geometry - http://www.maths.lth.se/publications/Pure-...ture-Notes.html
"An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996).
Harmonic Analysis and Partial Differential Equations - http://www.math.chalmers.se/Math/Research/...s/Lecturenotes/
A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish).
Differential forms - http://www.math.purdue.edu/~dvb/
An introduction to differential forms and other notes by Donu Arapura.
Differentiable manifolds - http://math.berkeley.edu/~wodzicki/214/
Lecture notes by Mariusz Wodzicki in postscript or pdf.
Complex Analysis - http://delta.cs.cinvestav.mx/~mcintosh/com...ex/complex.html
Course notes by Harold V. McIntosh in HTML.
Ordinary Differential Equations - http://www.math.msu.edu/~sen/Math_848-ps/
Informal postscript notes for a course by Sheldon Newhouse at Michigan State.
Partial Differential Equations - http://math.ucsd.edu/~driver/231-02-03/lec...cture_notes.htm
Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
Real Analysis - http://www.mth.kcl.ac.uk/~ysafarov/Lectures/CM321A/
Lecture notes by Yuri Safarov.
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.
Linear Algebra Notes and Exercises - http://www.mathphysics.com/spingarn/lane/
A collection of mini-lessons in pdf format designed for self-instruction over the web by Jonathan Spingarn.
Differential Geometry and Physics - http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm
Lecture notes by Gabriel Lugo.
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.
Abstract Algebra - http://www.math.umn.edu/~garrett/m/intro_algebra/
"Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.
Mathematical Logic - http://euclid.trentu.ca/math/sb/pcml/
"A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.
Optimization - http://www-path.eecs.berkeley.edu/~varaiya..._ps.dir/NOO.pdf
"Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.
Complex-Analytic Geometry of Complex Parallelizable Manifolds - http://www.math.unibas.ch/~winkel/cplx/papers/gca.html
Monograph by J鰎g Winkelmann. Chapters in DVI.
Mathematical Methods of Engineering Analysis - http://www.sor.princeton.edu/~rvdb/506book/book.pdf
Book by Erhan 莍nlar and Robert J. Vanderbei in PDF. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration.
Sheaf Cohomology - http://sierra.nmsu.edu/morandi/notes/mathe...ticalnotes.html
Mathematical notes on sheaves and other topics by P. Morandi.
Partial Differential Equations - http://www.math.oregonstate.edu/~show/docs/pde.html
"PDE Primer" by Ralph Showalter at Oregon State.
Potential Theory - http://www.geocities.com/fabrikant_books/
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.
Complex Dynamics in Higher Dimensions - http://www.math.lsa.umich.edu/~fornaess/co...micspapers.html
CBMS lecture notes by John Erik Forn鎠s at the bottom of page with other papers by the author and Nessim Sibony. PostScript.
Abstract Algebra Notes - http://www.millersv.edu/~bikenaga/absalg/absanote.html
A collection of short notes by Bruce Ikenaga in PostScript.
Complex analysis and dynamics - http://math.harvard.edu/~ctm/past.html
Various lecture notes C. McMullen
Integral And Differential Equations - http://www.math.gatech.edu/~herod/4348/4348.html
Class notes by Jim Herod at Georgia Tech.
The FEMCI Book - http://analyst.gsfc.nasa.gov/FEMCI/femcibook.html
Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
Finite Applied Associative Algebra (semigroups) & Digital Networks - http://home.iae.nl/users/benschop
A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
Differential geometry - http://www.geocities.com/r-sharipov/r4-b3.htm
A textbook by Ruslan Sharipov (English and Russian versions).
Tensor analysis - http://www.geocities.com/r-sharipov/r4-b6.htm
A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions).
Differential Equations - http://marauder.millersville.edu/~bikenaga...eq/deqnote.html
Postscript notes on various topics in differential equations by Bruce Ikenaga.
Manifolds, Tensors, Analysis, and Applications - http://books.pdox.net/Math/Manifolds,%20Te...20Applications/
Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF.
Complex Analysis - http://www.maths.adelaide.edu.au/pure/psco...2/contents.html
Course notes and quizzes by Paul Scott in HTML.
Linear algebra and multidimensional geometry - http://www.geocities.com/r-sharipov/r4-b2.htm
A textbook by Ruslan Sharipov (English and Russian versions).
Numerical Analysis - http://www.cs.laurentian.ca/badams/numeric...ntro/intro.html
"Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML.
Topology Without Tears - http://www.theassayer.org/cgi-bin/asauthor....cgi?author=430
A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.
Splines and Wavelets - http://www.iam.uni-bonn.de/~scherer/wavelets.html
A monograph by Karl Scherer in German (DVI and Postscript).
History of Calculus - http://occ.awlonline.com/bookbind/pubbooks...xe-content.html
Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus.
Finite Element Method/Boundary Element Method - http://lola.unimo.it/~fonda/DISPENSA_Tb_ht...fembemnotes.pdf
Notes by Peter Hunter and Andrew Pullan in pdf.
Math Wizard - http://home.earthlink.net/%7esusankennison/mathwizard/
E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.
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.
