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Linear Methods of Applied Mathematics Open in a new browser 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/
Generatingfunctionology Open in a new browser window  
   By Herbert S. Wilf. Published by Academic Press. PDF.
   http://www.math.upenn.edu/~wilf/DownldGF.html
Euclid's Elements Open in a new browser window  
   Edited by D.E. Joyce. HTML text with Java applets.
   http://aleph0.clarku.edu/~djoyce/java/elements/toc.html
Fundamentals of Model Theory Open in a new browser window  
   Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.
   http://at.yorku.ca/i/a/a/i/10.htm
Probability Open in a new browser window  
   "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
A=B Open in a new browser 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
Numerical Recipes Books On-Line Open in a new browser window  
   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
Mixed Motives Open in a new browser window  
   Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
   http://www.ams.org/online_bks/surv57/surv57.pdf
Tensor Calculus and Continuum Mechanics Open in a new browser window  
   Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.
   http://www.math.odu.edu/~jhh/counter2.html
Practical Foundations of Mathematics Open in a new browser window  
   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
Elements of Abstract and Linear Algebra Open in a new browser 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/
Universal Algebra Open in a new browser window  
   "A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
   http://www.thoralf.uwaterloo.ca/htdocs/ualg.html
C*-Algebras Open in a new browser 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
Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners Open in a new browser window  
   Several books by Richard Melrose et al. in PostScript.
   http://www-math.mit.edu/~rbm/book.html
Templates for the Solution of Linear Systems Open in a new browser window  
   Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
   http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html
Semi-Simple Lie Algebras and their Representations Open in a new browser window  
   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
Abstract Algebra II Open in a new browser 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/
Linearization via the Lie Derivative Open in a new browser window  
   By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
   http://ejde.math.swt.edu/Monographs/02/abstr.html
Multivariable Calculus Open in a new browser window  
   Textbook by George Cain and James Herod. Chapters in PDF.
   http://www.math.gatech.edu/~cain/notes/calculus.html
Finite Rank Torsion Free Modules Over Dedekind Domains Open in a new browser window  
   Monograph in commutative ring theory by Lee Lady. DVI and PDF.
   http://www.math.hawaii.edu/~lee/book/
Topology Course Lecture Notes Open in a new browser window  
   By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.
   http://at.yorku.ca/i/a/a/b/23.htm
Trigonometry Open in a new browser window  
   "Dave's Short Trig Course" by D. E. Joyce. HTML with Java.
   http://aleph0.clarku.edu/~djoyce/java/trig/
Analysis WebNotes Open in a new browser window  
   Online course by John Lindsay Orr. Chapters also available in LaTeX.
   http://www.math.unl.edu/~webnotes/home/home.htm
Advanced Calculus and Analysis Open in a new browser 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
Interactive Real Analysis Open in a new browser window  
   "Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
   http://www.shu.edu/html/teaching/math/reals/reals.html
Complex and Functional Analysis Open in a new browser 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/
Category Theory Open in a new browser window  
   "A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.
   http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html
Multiplier Ideals for Algebraic Geometers Open in a new browser window  
   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/
Dynamical Systems Open in a new browser window  
   1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
   http://www.ams.org/online_bks/coll9/
Complex analytic and algebraic geometry Open in a new browser window  
   Book by Jean-Pierre Demailly in PostScript.
   http://www-fourier.ujf-grenoble.fr/~demailly/books.html
Physics, Invariant Theory, Modular Forms, and Algebraic Geometry Open in a new browser window  
   Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
   http://www.math.lsa.umich.edu/~idolga/lecturenotes.html
Functional Analysis and Semi-Groups Open in a new browser 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/
Global Analysis Open in a new browser 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
   http://www.ams.org/online_bks/surv53/
Complex Dynamics in Higher Dimensions Open in a new browser 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/complexdynamicspapers.html
Several complex variables Open in a new browser window  
   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
Algebraic Topology Open in a new browser window  
   1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
   http://www.ams.org/online_bks/coll27/
Travelling Wave Solutions of Parabolic Systems Open in a new browser window  
   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/
Computational Geometry and Computational Optimization Open in a new browser window  
   Lecture notes by Jianer Chen in PostScript.
   http://www.cs.tamu.edu/faculty/chen/notes/
Differential Topology Open in a new browser 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, roo
   http://www.math.binghamton.edu/matt/
History of Calculus Open in a new browser 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/chapter1/medialib/custom3/deluxe-content.html
Linear Programming: Foundations and Extensions Open in a new browser window  
   Book by Robert J. Vanderbei in PDF.
   http://www.princeton.edu/~rvdb/LPbook/
Mathematical Methods of Engineering Analysis Open in a new browser 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
Numerical Analysis Open in a new browser window  
   "Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML.
   http://www.cs.laurentian.ca/badams/numeric/intro/intro.html
Dynamical Systems and Fractals Open in a new browser window  
   Lecture Notes by David J. Wright in HTML.
   http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html
Mathematical Modeling in a Real and Complex World Open in a new browser window  
   Online guide book by Frank Wattenberg in HTML.
   http://www.math.montana.edu/frankw/ccp/modeling/topic.htm
Geometric Constraint Solving Open in a new browser 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
Fundamental Problems in Algorithmic Algebra Open in a new browser window  
   Book by Chee Yap published by Oxford University Press in 1999.
   http://www.cs.nyu.edu/yap/book/
The FEMCI Book Open in a new browser window  
   Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
   http://analyst.gsfc.nasa.gov/FEMCI/femcibook.html
Algebraic K-theory Open in a new browser window  
   "An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
   http://math.rutgers.edu/~weibel/Kbook.html
Dynamics in One Complex Variable: Introductory Lectures Open in a new browser window  
   Lecture notes by John Milnor in TeX and PostScript.
   http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5
Linear Algebra and Applications Open in a new browser window  
   Textbook by Thomas Shores. GIFs of pages.
   http://www.math.unl.edu/~tshores/linalgtext.html
Mathematical Principles of Natural Philosophy Open in a new browser window  
   Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
   http://members.tripod.com/~gravitee/
The Limits of Mathematics Open in a new browser window  
   An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
   http://www.umcs.maine.edu/~chaitin/lm.html
Hilbert Space Methods for Partial Differential Equations Open in a new browser 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
Plane Geometry Open in a new browser window  
   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
Differential Gometry and General Relativity Open in a new browser window  
   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
Algebraic Combinatorics via Finite Group Actions Open in a new browser window  
   HTML book by A. Betten, H. Fripertinger, and A. Kerber.
   http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html
Basic Concepts of Mathematics Open in a new browser 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
Numerics - interactive Open in a new browser window  
   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
Geometric Asymptotics Open in a new browser window  
   This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
   http://www.ams.org/online_bks/surv14/
Differential Algebra Open in a new browser window  
   Scans of Ritt's 1950 classic in PDF.
   http://www.ams.org/online_bks/coll33/
Applied Cryptography Open in a new browser window  
   1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.
   http://cacr.math.uwaterloo.ca/hac/
Graph Theory Open in a new browser window  
   Hyperlinked PDF version of a book by Reinhard Diestel.
   http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/download.html
Linear Algebra, Infinite Dimensions, and Maple Open in a new browser window  
   A textbook by James Herod.
   http://www.math.gatech.edu/~herod/Hspace/Hspace.html
Homeomorphisms in Analysis Open in a new browser 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/
Finite Simple Groups Open in a new browser 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/
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations Open in a new browser window  
   A monograph by Ralph Showalter in PDF.
   http://www.ams.org/online_bks/surv49/
Matrices Open in a new browser window  
   The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF.
   http://www.ams.org/online_bks/coll17/
Stochastic Calculus Open in a new browser window  
   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.statslab.cam.ac.uk/~afrb2/
Linear Algebra Open in a new browser window  
   "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
   http://www.numbertheory.org/book/
Numerical Grid Generation Open in a new browser window  
   A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.
   http://www.erc.msstate.edu/publications/gridbook/
Wavelets Open in a new browser window  
   An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
   http://www.amara.com/IEEEwave/IEEEwavelet.html
Algebraic Geometry Open in a new browser window  
   Various lecture notes by J.S. Milne.
   http://www.jmilne.org/math/
Toposes, Triples and Theories Open in a new browser window  
   A book by Michael Barr and Charles Wells originally published by Springer Verlag.
   http://www.cwru.edu/artsci/math/wells/pub/ttt.html
Dynamical Systems and Ergodic Theory Open in a new browser 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
Optimization Open in a new browser window  
   "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
Multigrid Methods Open in a new browser window