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A=B open in new window
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 open in new window
Lecture notes by David Wilkins from a course at Trinity College, Dublin. Three parts in DVI, PostScript and PDF.
(http://www.maths.tcd.ie/~dwilkins/Courses/311/)

Abstract Algebra open in new window
"Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.
(http://www.math.umn.edu/~garrett/m/intro_algebra/)

Abstract Algebra open in new window
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.
(http://www.jmilne.org/math/CourseNotes/)

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

Abstract Algebra II open in new window
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/)

Abstract Algebra Notes open in new window
A collection of short notes by Bruce Ikenaga in PostScript.
(http://www.millersv.edu/~bikenaga/absalg/absanote.html)

Abstract Algebra with GAP open in new window
A laboratory manual by J. G. Rainbolt and J. A. Gallian.
(http://euler.slu.edu/Dept/Faculty/rainbolt/manual.html)

Abstract Algebra: The Basic Graduate Year open in new window
By Robert B. Ash. Chapters in PDF.
(http://www.math.uiuc.edu/~r-ash/)

Advanced Calculus and Analysis open in new window
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)

Algebraic Combinatorics via Finite Group Actions open in new window
HTML book by A. Betten, H. Fripertinger, and A. Kerber.
(http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html)

Algebraic Geometry open in new window
A. Grothendieck's "Séminaire de Géometrie Algébrique" produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.
(http://modular.fas.harvard.edu/sga/sga/)

Algebraic Geometry open in new window
Various lecture notes by J.S. Milne.
(http://www.jmilne.org/math/)

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

Algebraic Topology open in new window
1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
(http://www.ams.org/online_bks/coll27/)

Algebraic Topology open in new window
Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
(http://www.math.cornell.edu/~hatcher/)

Algebraic Topology: A Computational Approach open in new window
Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript.
(http://www.math.gatech.edu/~mischaik/courses/Math4432/)

Algorithms and Complexity open in new window
By Herbert S. Wilf. In print 1986-1994. Single PDF file.
(http://www.cis.upenn.edu/~wilf/AlgComp2.html)

Analysis WebNotes open in new window
Online course by John Lindsay Orr. Chapters also available in LaTeX.
(http://www.math.unl.edu/~webnotes/home/home.htm)

Applied Cryptography open in new window
1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.
(http://cacr.math.uwaterloo.ca/hac/)

Basic Concepts of Mathematics open in new window
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)

C*-Algebras open in new window
"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)

Calculus open in new window
"The Calculus Bible" by G. S. Gill.
(http://www.math.byu.edu/Math/CalculusBible/)

Calculus Using Infinitesimals open in new window
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)

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

Complex Analysis open in new window
Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
(http://www.math.gatech.edu/~cain/winter99/complex.html)

Complex Analysis open in new window
Course notes by Harold V. McIntosh in HTML.
(http://delta.cs.cinvestav.mx/~mcintosh/comun/complex/complex)

Complex Analysis open in new window
Course notes and quizzes by Paul Scott in HTML.
(http://www.maths.adelaide.edu.au/pure/pscott/CA2/contents.ht)

Complex analysis and dynamics open in new window
Various lecture notes C. McMullen
(http://math.harvard.edu/~ctm/past.html)

Complex analytic and algebraic geometry open in new window
Book by Jean-Pierre Demailly in PostScript.
(http://www-fourier.ujf-grenoble.fr/~demailly/books.html)

Complex and Functional Analysis open in new window
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/)

Complex Dynamics in Higher Dimensions open in new window
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/complexdynamicspaper)

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

Complex-Analytic Geometry of Complex Parallelizable Manifolds open in new window
Monograph by Jörg Winkelmann. Chapters in DVI.
(http://www.math.unibas.ch/~winkel/cplx/papers/gca.html)

Computational Geometry and Computational Optimization open in new window
Lecture notes by Jianer Chen in PostScript.
(http://www.cs.tamu.edu/faculty/chen/notes/)

Differential Algebra open in new window
Scans of Ritt's 1950 classic in PDF.
(http://www.ams.org/online_bks/coll33/)

Differential Geometry open in new window
Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
(http://www.wisdom.weizmann.ac.il/~yakov/Geometry/)

Differential Geometry open in new window
Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
(http://www.maths.adelaide.edu.au/pure/mmurray/dg_hons/dg_hon)

Differential Geometry open in new window
"Natural operations in differential geometry" by Ivan Kolar, Jan Slovak and Peter W. Michor published by Springer-Verlag in 1993. DVI, PostScript and PDF.
(http://rattler.cameron.edu/EMIS/monographs/KSM/)

Differential Geometry open in new window
Notes by Balázs Csikós. Chapters in PostScript.
(http://www.cs.elte.hu/geometry/csikos/dif/dif.html)

Differential Geometry open in new window
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.
(http://www.mat.univie.ac.at/~michor/listpubl.html)

Differential Geometry and General Relativity open in new window
Introduction to differential geometry and general relativity by Stefan Waner at Hofstra University in HTML.
(http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.)

Differential Topology open in new window
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".
(http://www.math.binghamton.edu/matt/)

Discrete Mathematics open in new window
Lecture notes by László Lovász in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
(http://research.microsoft.com/users/lovasz/notes.htm)

Dynamical Systems open in new window
1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
(http://www.ams.org/online_bks/coll9/)

Dynamical Systems and Ergodic Theory open in new window
Corrected version of a book by M. Pollicott and M. Yuri published by Cambridge University Press in 1998.
(http://www.maths.man.ac.uk/~mp/book.html)

Dynamical Systems and Ergodic Theory open in new window
"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).
(http://www.ma.man.ac.uk/~mp/book.html)

Dynamical Systems and Fractals open in new window
Lecture Notes by David J. Wright in HTML.
(http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecno)

Dynamics and Chaos open in new window
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/)

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

Elements of Abstract and Linear Algebra open in new window
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/)

Entropy of Compact Group Automorphisms open in new window
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/lecture_notes/)

Euclid's Elements open in new window
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 open in new window
A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
(http://home.iae.nl/users/benschop)

Finite Element Method/Boundary Element Method open in new window
Notes by Peter Hunter and Andrew Pullan. Postscript and PDF.
(http://www.esc.auckland.ac.nz/Academic/Texts/FEM-BEM-notes.h)

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

Finite Simple Groups open in new window
"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 open in new window
A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
(http://www.geom.umn.edu/~banchoff/Flatland/)

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

Functional Analysis and Semi-Groups open in new window
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 open in new window
Book by Chee Yap published by Oxford University Press in 1999.
(http://www.cs.nyu.edu/yap/book/)

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

Generatingfunctionology open in new window
By Herbert S. Wilf. Published by Academic Press. PDF.
(http://www.math.upenn.edu/~wilf/DownldGF.html)

Geometric Asymptotics open in new window
This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
(http://www.ams.org/online_bks/surv14/)

Geometric Constraint Solving open in new window
An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
(http://www.cs.purdue.edu:80/homes/cmh/electrobook/intro.html)

Geometry and the Imagination open in new window
An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
(http://www.geom.umn.edu/docs/education/institute91/)

Global Analysis open in new window
"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/)

Graph Theory open in new window
Hyperlinked PDF version of a book by Reinhard Diestel.
(http://www.math.uni-hamburg.de/home/diestel/books/graph.theo)

Harmonic Analysis and Partial Differential Equations open in new window
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/L)

Hilbert Space Methods for Partial Differential Equations open in new window
Textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.
(http://ejde.math.swt.edu/Monographs/01/abstr.html)

History of Calculus open in new window
Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus.
(http://occ.awlonline.com/bookbind/pubbooks/thomas_awl/chapte)

Homeomorphisms in Analysis open in new window
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/)

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

Interactive Real Analysis open in new window
"Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
(http://www.shu.edu/html/teaching/math/reals/reals.html)

Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem open in new window
Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI and Postscript.
(http://rattler.cameron.edu/EMIS/monographs/gilkey/)

Linear Algebra open in new window
Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.
(http://joshua.smcvt.edu/linalg.html)

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

Linear Algebra and Applications open in new window
Textbook by Thomas Shores. GIFs of pages.
(http://www.math.unl.edu/~tshores/linalgtext.html)

Linear Algebra, Infinite Dimensions, and Maple open in new window
A textbook by James Herod.
(http://www.math.gatech.edu/~herod/Hspace/Hspace.html)

Linear Methods of Applied Mathematics open in new window
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 Programming: Foundations and Extensions open in new window
Book by Robert J. Vanderbei in PDF.
(http://www.princeton.edu/~rvdb/LPbook/)

Linearization via the Lie Derivative open in new window
By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
(http://ejde.math.swt.edu/Monographs/02/abstr.html)

Manifolds, Tensors, Analysis, and Applications open in new window
Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF.
(http://www.cds.caltech.edu/~marsden/bib_src/mta/Book/)

Mathematical Logic open in new window
"A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.
(http://www.trentu.ca/academic/math/sb/misc/pcml.html)

Mathematical Methods of Engineering Analysis open in new window
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.sor.princeton.edu/~rvdb/506book/book.pdf)

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

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

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

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