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Graph Theory Graph Theory: Hyperlinked PDF version of a book by Reinhard Diestel. (Online Texts) http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/download.html Optimization Optimization: "Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming. (Online Texts) http://www-path.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf Riemannian Geometry Riemannian Geometry: "An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996). (Online Texts) http://www.maths.lth.se/publications/Pure-Lecture-Notes.html Mathematical Principles of Natural Philosophy Mathematical Principles of Natural Philosophy: Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete). (Online Texts) http://members.tripod.com/~gravitee/ Multivariable Calculus Multivariable Calculus: Textbook by George Cain and James Herod. Chapters in PDF. (Online Texts) http://www.math.gatech.edu/~cain/notes/calculus.html Calculus Using Infinitesimals Calculus Using Infinitesimals: Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986) (Online Texts) http://www.math.wisc.edu/~keisler/calc.html Dynamical Systems Dynamical Systems: 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF. (Online Texts) http://www.ams.org/online_bks/coll9/ Topology Course Lecture Notes Topology Course Lecture Notes: By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript. (Online Texts) http://at.yorku.ca/i/a/a/b/23.htm Mathematical Illustrations Mathematical Illustrations: A manual of geometry and PostScript by Bill Casselman, including code samples and packages. (Online Texts) http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ Linear Methods of Applied Mathematics 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. (Online Texts) http://www.mathphysics.com/pde/ Finite Simple Groups Finite Simple Groups: "The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF. (Online Texts) http://www.ams.org/online_bks/surv40-1/ Multigrid Methods Multigrid Methods: "An Introduction to Multigrid Methods" by Pieter Wesseling. (Online Texts) http://www.mgnet.org/mgnet-books-wesseling.html Differential Geometry Differential Geometry: Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs. (Online Texts) http://www.maths.adelaide.edu.au/pure/mmurray/dg_hons/dg_hons.html Description Logics Handbook Description Logics Handbook: A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf) (Online Texts) http://www.inf.unibz.it/~franconi/dl/course/ C*-Algebras 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. (Online Texts) http://www.unige.ch/math/biblio/preprint/cstar/liste.html Stochastic Calculus 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. (Online Texts) http://www.statslab.cam.ac.uk/~afrb2/ Dynamics in One Complex Variable: Introductory Lectures Dynamics in One Complex Variable: Introductory Lectures: Lecture notes by John Milnor in TeX and PostScript. (Online Texts) http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5 Spinors, Spectral Geometry, and Riemannian Submersions 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. (Online Texts) http://rattler.cameron.edu/EMIS/monographs/GLP/ Differential Topology 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 (Online Texts) http://www.math.binghamton.edu/matt/ Practical Foundations of Mathematics 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. (Online Texts) http://www.dcs.qmw.ac.uk/~pt/Practical_Foundations/html/summary.html Manifolds, Tensors, Analysis, and Applications Manifolds, Tensors, Analysis, and Applications: Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF. (Online Texts) http://books.pdox.net/Math/Manifolds,%20Tensors,%20Analysis,%20and%20Applications/ Partial Differential Equations Partial Differential Equations: Lecture notes on Analysis and PDEs by Bruce Driver at UCSD. (Online Texts) http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm Topology Without Tears Topology Without Tears: A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view. (Online Texts) http://www.theassayer.org/cgi-bin/asauthor.cgi?author=430 Numerics - interactive 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 (Online Texts) http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf Differentiable manifolds Differentiable manifolds: Lecture notes by Mariusz Wodzicki in postscript or pdf. (Online Texts) http://math.berkeley.edu/~wodzicki/214/ Analysis WebNotes Analysis WebNotes: Online course by John Lindsay Orr. Chapters also available in LaTeX. (Online Texts) http://www.math.unl.edu/~webnotes/home/home.htm Potential Theory Potential Theory: 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. (Online Texts) http://www.geocities.com/fabrikant_books/ Functional Analysis Functional Analysis: Lecture notes by Paul Garrett. (Online Texts) http://www.math.umn.edu/~garrett/m/fun/ Fundamental Problems in Algorithmic Algebra Fundamental Problems in Algorithmic Algebra: Book by Chee Yap published by Oxford University Press in 1999. (Online Texts) http://www.cs.nyu.edu/yap/book/ Templates for the Solution of Linear Systems Templates for the Solution of Linear Systems: Book on iterative methods by Richard Barrett et al. in HTML and Postscript. (Online Texts) http://netlib2.cs.utk.edu/linalg/html_templates/Templates.html Meta Math! The Quest for Omega 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). (Online Texts) http://www.umcs.maine.edu/~chaitin/omega.html Topology Topology: Lecture notes by David R. Wilkins at Trinity College, Dublin. (Online Texts) http://www.maths.tcd.ie/~dwilkins/Courses/212/ Wavelets Wavelets: An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript. (Online Texts) http://www.amara.com/IEEEwave/IEEEwavelet.html Fourier Analysis Fourier Analysis: Lecture notes by Yuri Safarov. (Online Texts) http://www.mth.kcl.ac.uk/~ysafarov/Lectures/Fourier/index.html Geometric Asymptotics Geometric Asymptotics: This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization. (Online Texts) http://www.ams.org/online_bks/surv14/ Chaos Chaos: Introduction To Chaos by Michael Cross. An online course at Caltech. (Online Texts) http://www.cmp.caltech.edu/~mcc/Chaos_Course/Outline.html Differential Equations Differential Equations: Postscript notes on various topics in differential equations by Bruce Ikenaga. (Online Texts) http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html Finite Rank Torsion Free Modules Over Dedekind Domains Finite Rank Torsion Free Modules Over Dedekind Domains: Monograph in commutative ring theory by Lee Lady. DVI and PDF. (Online Texts) http://www.math.hawaii.edu/~lee/book/ Group Characters, Symmetric Functions, and the Hecke Algebra 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. (Online Texts) http://www.ams.org/online_bks/ulect4/ Real Analysis Real Analysis: Lecture notes by Yuri Safarov. (Online Texts) http://www.mth.kcl.ac.uk/~ysafarov/Lectures/CM321A/ Dynamics and Chaos 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 (Online Texts) http://www.mathphysics.com/dynam/ Abstract Algebra with GAP Abstract Algebra with GAP: A laboratory manual by J. G. Rainbolt and J. A. Gallian. (Online Texts) http://euler.slu.edu/Dept/Faculty/rainbolt/manual.html Differential Gometry and General Relativity Differential Gometry 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. (Online Texts) http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html Linear Algebra and Applications Linear Algebra and Applications: Textbook by Thomas Shores. GIFs of pages. (Online Texts) http://www.math.unl.edu/~tshores/linalgtext.html The FEMCI Book The FEMCI Book: Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons. (Online Texts) http://analyst.gsfc.nasa.gov/FEMCI/femcibook.html Numerical Grid Generation Numerical Grid Generation: A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML. (Online Texts) http://www.erc.msstate.edu/publications/gridbook/ Chebyshev and Fourier Spectral Methods Chebyshev and Fourier Spectral Methods: A book by John P. Boyd (2nd edition) available from Dover. (Online Texts) http://www-personal.engin.umich.edu/~jpboyd/BOOK_Spectral2000.html Sheaf Cohomology Sheaf Cohomology: Mathematical notes on sheaves and other topics by P. Morandi. (Online Texts) http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html Differential Geometry and Physics Differential Geometry and Physics: Lecture notes by Gabriel Lugo. (Online Texts) http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm Finite Element Method/Boundary Element Method Finite Element Method/Boundary Element Method: Notes by Peter Hunter and Andrew Pullan in pdf. (Online Texts) http://lola.unimo.it/~fonda/DISPENSA_Tb_html/Programma/Prog_TB_4/Dipolo/fembemnotes.pdf Trigonometry Trigonometry: "Dave's Short Trig Course" by D. E. Joyce. HTML with Java. (Online Texts) http://aleph0.clarku.edu/~djoyce/java/trig/ Splines and Wavelets Splines and Wavelets: A monograph by Karl Scherer in German (DVI and Postscript). (Online Texts) http://www.iam.uni-bonn.de/~scherer/wavelets.html Complex analytic and algebraic geometry Complex analytic and algebraic geometry: Book by Jean-Pierre Demailly in PostScript. (Online Texts) http://www-fourier.ujf-grenoble.fr/~demailly/books.html Complex Numbers Complex Numbers: Dave's Short Course on Complex Numbers (David Joyce). (Online Texts) http://www.clarku.edu/~djoyce/complex/ Linear Algebra Linear Algebra: "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript. (Online Texts) http://www.numbertheory.org/book/ Toposes, Triples and Theories Toposes, Triples and Theories: A book by Michael Barr and Charles Wells originally published by Springer Verlag. (Online Texts) http://www.cwru.edu/artsci/math/wells/pub/ttt.html Complex Analysis Complex Analysis: Course notes and quizzes by Paul Scott in HTML. (Online Texts) http://www.maths.adelaide.edu.au/pure/pscott/CA2/contents.html Numerical Recipes Books On-Line 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. (Online Texts) http://www.nr.com/nronline_switcher.html Euclid's Elements Euclid's Elements: Edited by D.E. Joyce. HTML text with Java applets. (Online Texts) http://aleph0.clarku.edu/~djoyce/java/elements/toc.html Abstract Algebra Abstract Algebra: A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML. (Online Texts) http://web.usna.navy.mil/~wdj/book/ Mixed Motives Mixed Motives: Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF. (Online Texts) http://www.ams.org/online_bks/surv57/surv57.pdf History of Calculus History of Calculus: Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus. (Online Texts) http://occ.awlonline.com/bookbind/pubbooks/thomas_awl/chapter1/medialib/custom3/deluxe-content.html Global Analysis 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 (Online Texts) http://www.ams.org/online_bks/surv53/ Elements of Abstract and Linear Algebra 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. (Online Texts) http://www.math.miami.edu/~ec/book/ Category Theory Category Theory: "A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript. (Online Texts) http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html Linear Algebra Notes and Exercises Linear Algebra Notes and Exercises: A collection of mini-lessons in pdf format designed for self-instruction over the web by Jonathan Spingarn. (Online Texts) http://www.mathphysics.com/spingarn/lane/ Flatland Flatland: A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML. (Online Texts) http://www.geom.uiuc.edu/~banchoff/Flatland/ Semi-Simple Lie Algebras and their Representations Semi-Simple Lie Algebras and their Representations: Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript. (Online Texts) http://www-physics.lbl.gov/~rncahn/book.html Numerical Analysis Numerical Analysis: "Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML. (Online Texts) http://www.cs.laurentian.ca/badams/numeric/intro/intro.html Integral And Differential Equations Integral And Differential Equations: Class notes by Jim Herod at Georgia Tech. (Online Texts) http://www.math.gatech.edu/~herod/4348/4348.html Algorithms and Complexity Algorithms and Complexity: By Herbert S. Wilf. In print 1986-1994. Single PDF file. (Online Texts) http://www.cis.upenn.edu/~wilf/AlgComp3.html Matroid Decomposition Matroid Decomposition: Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript. (Online Texts) http://rattler.cameron.edu/EMIS/monographs/md/ Several complex variables 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. (Online Texts) http://www-fourier.ujf-grenoble.fr/~demailly/lectures.html Dynamical Systems and Fractals Dynamical Systems and Fractals: Lecture Notes by David J. Wright in HTML. (Online Texts) http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html Linear Algebra, Infinite Dimensions, and Maple Linear Algebra, Infinite Dimensions, and Maple: A textbook by James Herod. (Online Texts) http://www.math.gatech.edu/~herod/Hspace/Hspace.html Mechanism of the Heavens Mechanism of the Heavens: A book on celestial mechanics by Mary Somerville (1831). (Online Texts) http://www.malaspina.com/etext/heavens.htm Distributions, Fourier Transforms and Microlocal Analysis Distributions, Fourier Transforms and Microlocal Analysis: A short course by Yuri Safarov (Online Texts) http://www.mth.kcl.ac.uk/~ysafarov/Lectures/ Physics, Invariant Theory, Modular Forms, and Algebraic Geometry Physics, Invariant Theory, Modular Forms, and Algebraic Geometry: Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript. (Online Texts) http://www.math.lsa.umich.edu/~idolga/lecturenotes.html Mathematical Methods of Engineering Analysis 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. (Online Texts) http://www.sor.princeton.edu/~rvdb/506book/book.pdf Dynamical Systems and Ergodic Theory Dynamical Systems and Ergodic Theory: "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). (Online Texts) http://www.ma.man.ac.uk/~mp/book.html Generatingfunctionology Generatingfunctionology: By Herbert S. Wilf. Published by Academic Press. PDF. (Online Texts) http://www.math.upenn.edu/~wilf/DownldGF.html Hilbert Space Methods for Partial Differential Equations 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. (Online Texts) http://ejde.math.swt.edu/Monographs/01/abstr.html Interactive Real Analysis Interactive Real Analysis: "Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java. (Online Texts) http://www.shu.edu/html/teaching/math/reals/reals.html Complex Dynamics in Higher Dimensions 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. (Online Texts) http://www.math.lsa.umich.edu/~fornaess/complexdynamicspapers.html Algebraic Topology Algebraic Topology: 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF. (Online Texts) http://www.ams.org/online_bks/coll27/ Basic Concepts of Mathematics 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. (Online Texts) http://www.trillia.com/zakon1.html Complex and Functional Analysis Complex and Functional Analysis: Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF. (Online Texts) http://www.math.psu.edu/dna/502.s97/ Differential Algebra Differential Algebra: Scans of Ritt's 1950 classic in PDF. (Online Texts) http://www.ams.org/online_bks/coll33/ Mathematical Modeling in a Real and Complex World Mathematical Modeling in a Real and Complex World: Online guide book by Frank Wattenberg in HTML. (Online Texts) http://www.math.montana.edu/frankw/ccp/modeling/topic.htm Travelling Wave Solutions of Parabolic Systems 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. (Online Texts) http://www.ams.org/online_bks/mmono140/ Computational Geometry and Computational Optimization Computational Geometry and Computational Optimization: Lecture notes by Jianer Chen in PostScript. (Online Texts) http://www.cs.tamu.edu/faculty/chen/notes/ Harmonic Analysis and Partial Differential Equations 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). (Online Texts) http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/ Probability 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. (Online Texts) http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/book.html Abstract Algebra Notes Abstract Algebra Notes: A collection of short notes by Bruce Ikenaga in PostScript. (Online Texts) http://www.millersv.edu/~bikenaga/absalg/absanote.html Theory of Symmetry and Ornament Theory of Symmetry and Ornament: Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML (Online Texts) http://rattler.cameron.edu/EMIS/monographs/jablan/ Discrete Mathematics Discrete Mathematics: Lecture notes by László Lovász in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms". (Online Texts) http://research.microsoft.com/users/lovasz/notes.htm Multiplier Ideals for Algebraic Geometers 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. (Online Texts) http://www.math.lsa.umich.edu/~rlaz/ Calculus Calculus: "The Calculus Bible" by G. S. Gill. (Online Texts) http://www.math.byu.edu/Math/CalculusBible/ Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners: Several books by Richard Melrose et al. in PostScript. (Online Texts) http://www-math.mit.edu/~rbm/book.html Complex-Analytic Geometry of Complex Parallelizable Manifolds Complex-Analytic Geometry of Complex Parallelizable Manifolds: Monograph by Jörg Winkelmann. Chapters in DVI. (Online Texts) http://www.math.unibas.ch/~winkel/cplx/papers/gca.html Algebraic Combinatorics via Finite Group Actions Algebraic Combinatorics via Finite Group Actions: HTML book by A. Betten, H. Fripertinger, and A. Kerber. (Online Texts) http://www.mathe2.uni-bayreuth.de/frib/html/book/hyl00.html Fractals in the Plane - Ergodic Theory Methods Fractals in the Plane - Ergodic Theory Methods: A book by F. Przytycki and M. Urbanski in Postscript. (Online Texts) http://www.math.unt.edu/~urbanski/book1.html Complex analysis and dynamics Complex analysis and dynamics: Various lecture notes C. McMullen (Online Texts) http://math.harvard.edu/~ctm/past.html Analytic Differential Equations Analytic Differential Equations: Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. (Online Texts)[PDF] http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf Algebraic Geometry Algebraic Geometry: Various lecture notes by J.S. Milne. (Online Texts) http://www.jmilne.org/math/ Geometric Constraint Solving Geometric Constraint Solving: An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer. (Online Texts) http://www.cs.purdue.edu:80/homes/cmh/electrobook/intro.html Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem 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. (Online Texts) http://rattler.cameron.edu/EMIS/monographs/gilkey/ Ordinary Differential Equations Ordinary Differential Equations: Informal postscript notes for a course by Sheldon Newhouse at Michigan State. (Online Texts) http://www.math.msu.edu/~sen/Math_848-ps/ Finite Applied Associative Algebra (semigroups) & Digital Networks Finite Applied Associative Algebra (semigroups) & Digital Networks: A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics. (Online Texts) http://home.iae.nl/users/benschop Monotone Operators in Banach Space and Nonlinear Partial Differential Equations Monotone Operators in Banach Space and Nonlinear Partial Differential Equations: A monograph by Ralph Showalter in PDF. (Online Texts) http://www.ams.org/online_bks/surv49/ Homeomorphisms in Analysis 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. (Online Texts) http://www.ams.org/online_bks/surv54/ Entropy of Compact Group Automorphisms Entropy of Compact Group Automorphisms: Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript. (Online Texts) http://www.mth.uea.ac.uk/~h720/lecture_notes/ Linearization via the Lie Derivative Linearization via the Lie Derivative: By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF. (Online Texts) http://ejde.math.swt.edu/Monographs/02/abstr.html Linear Programming: Foundations and Extensions Linear Programming: Foundations and Extensions: Book by Robert J. Vanderbei in PDF. (Online Texts) http://www.princeton.edu/~rvdb/LPbook/ Abstract Algebra II 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. (Online Texts) http://www.math.niu.edu/~beachy/abstract_algebraII/ Universal Algebra Universal Algebra: "A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF. (Online Texts) http://www.thoralf.uwaterloo.ca/htdocs/ualg.html Fundamentals of Model Theory Fundamentals of Model Theory: Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF. (Online Texts) http://at.yorku.ca/i/a/a/i/10.htm Inverse Problems Inverse Problems: Lecture notes by Sze Tan. (Online Texts) http://www.phy.auckland.ac.nz/Staff/smt/453707SC.html Advanced Calculus and Analysis Advanced Calculus and Analysis: Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs. (Online Texts) http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html Plane Geometry 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. (Online Texts) http://www.math.rutgers.edu/~zeilberg/GT.html The Limits of Mathematics The Limits of Mathematics: An online course on information theory and the limits of formal reasoning by G.J. Chaitin. (Online Texts) http://www.umcs.maine.edu/~chaitin/lm.html Differential forms Differential forms: An introduction to differential forms and other notes by Donu Arapura. (Online Texts) http://www.math.purdue.edu/~dvb/ Number Theory 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 (Online Texts) http://www.trillia.com/moser-number.html Wavelet Tutorial Wavelet Tutorial: Guide to wavelet analysis by Robi Polikar. (Online Texts) http://users.rowan.edu/~polikar/WAVELETS/WTtutorial.html Matrices Matrices: The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF. (Online Texts) http://www.ams.org/online_bks/coll17/ Matrix Analysis and Applied Linear Algebra Matrix Analysis and Applied Linear Algebra: By Carl D. Meyer. Full text in PDF with errata, updates and solutions. (Online Texts) http://www.matrixanalysis.com/ Mathematical Logic Mathematical Logic: "A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF. (Online Texts) http://www.trentu.ca/academic/math/sb/misc/pcml.html A=B A=B: Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF. (Online Texts) http://www.cis.upenn.edu/~wilf/AeqB.html Applied Cryptography Applied Cryptography: 1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF. (Online Texts) http://cacr.math.uwaterloo.ca/hac/ Complex algebraic varieties and their cohomology Complex algebraic varieties and their cohomology: A book of notes by Donu Arapura. (Online Texts) http://www.math.purdue.edu/~dvb/book.html Algebraic K-theory Algebraic K-theory: "An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI. (Online Texts) http://math.rutgers.edu/~weibel/Kbook.html Tensor Calculus and Continuum Mechanics Tensor Calculus and Continuum Mechanics: Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF. (Online Texts) http://www.math.odu.edu/~jhh/counter2.html Geometry and the Imagination Geometry and the Imagination: An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript. (Online Texts) http://www.geom.uiuc.edu/docs/education/institute91/ Mathematical Analysis I 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. (Online Texts) http://www.trillia.com/zakon-analysisI.html Functional Analysis and Semi-Groups Functional Analysis and Semi-Groups: Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF. (Online Texts) http://www.ams.org/online_bks/coll31/ Algebraic Topology: A Computational Approach Algebraic Topology: A Computational Approach: Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript. (Online Texts) http://www.math.gatech.edu/~mischaik/courses/Math4432/