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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. |
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Mathematical Illustrations - http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
A manual of geometry and PostScript by Bill Casselman, including code samples and packages. |
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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. |
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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. |
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Linear Programming: Foundations and Extensions - http://www.princeton.edu/~rvdb/LPbook/
Book by Robert J. Vanderbei in PDF. |
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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. |
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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. |
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Linearization via the Lie Derivative - http://ejde.math.txstate.edu/Monographs/02/abstr.html
By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF. |
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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. |
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Voting, Arbitration & Fair Division: Mathematics of Social Choice - http://xaravve.trentu.ca/pivato/Teaching/voting.pdf
An introduction to `social choice theory', which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra. Author: Marcus Pivato. |
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Stochastic Calculus - http://www.chiark.greenend.org.uk/~alanb/
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. |
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Mathematical Methods of Engineering Analysis - http://www.princeton.edu/~rvdb/506book/book.pdf
Book by Erhan Çinlar and Robert J. Vanderbei. Topics covered: functions on metric spaces, differential and integral equations, convex analysis, and measure and integration. |
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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. |
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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. |
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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. |
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Lecture Notes on Optimization - http://paleale.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf
By Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming. |
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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. |
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Harmonic Analysis and Partial Differential Equations - http://www.math.chalmers.se/Math/Research/GeometryAnalysis/Lecturenotes/
A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish). |
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Matrix Analysis and Applied Linear Algebra - http://www.matrixanalysis.com/
By Carl D. Meyer. Full text in PDF with errata, updates and solutions. |
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Lecture notes by László Lovász - http://www.cs.elte.hu/~lovasz/notes.html
Discrete mathematics topics in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms". |
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Geometric Constraint Solving - http://www.cs.purdue.edu/homes/cmh/electrobook/intro.html
An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer. |
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Chebyshev and Fourier Spectral Methods - http://www-personal.engin.umich.edu/~jpboyd/BOOK_Spectral2000.html
A book by John P. Boyd (2nd edition) available from Dover. |
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Numerics - Interactive - http://www.weblearn.hs-bremen.de/risse/MAI/docs/numerics.pdf
In this 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. |
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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. |
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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. |
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Splines and Wavelets - http://www.iam.uni-bonn.de/~scherer/wavelets.html
A monograph by Karl Scherer in German (DVI and Postscript). |
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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. |
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Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - http://www.ams.org/online_bks/surv49/
A monograph by Ralph Showalter in PDF. |
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Practical Foundations of Mathematics - http://www.cs.man.ac.uk/~pt/Practical_Foundations/index.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. |
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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. |
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Finite Applied Associative Algebra (semigroups) & Digital Networks - http://home.claranet.nl/users/benschop/
A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics. |
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Several Complex Variables - http://www-fourier.ujf-grenoble.fr/~demailly/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. |
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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. |
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Linear Algebra and Multidimensional Geometry - http://www.geocities.com/r-sharipov/r4-b2.htm
A textbook by Ruslan Sharipov (English and Russian versions). |
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Sheaf Cohomology - http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html
Mathematical notes on sheaves and other topics by P. Morandi. |
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The FEMCI Book - http://femci.gsfc.nasa.gov/femcibook.html
Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons. |
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Open Math Text Lecture Notes - http://openmathtext.org/downloads.html
Lecture notes on various topics (English and Spanish) in Word and PDF format. |
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Math Wizard - http://home.earthlink.net/~susankennison/mathwizard/
E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase. |
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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). |
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Numerical Grid Generation - http://www.erc.msstate.edu/publications/gridbook/
A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML. |