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E Books :: Computers

Digital Networks - A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
Meta Description: [ An open mind is a joy forever, Associative Digital Network Theory, sci.math: Arithmetic, Powersums, Fermat, Waring, Goldbach, Cantor, finite structure, Semigroups, State Machine synthesis, finite, associative algebra, digital network theory, sequential logic, philosophy, I-Ching, Hubble... ]

A=B - Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.

Abstract Algebra - 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.
Meta Description: [ Downloadable textbooks for the basic graduate year of abstract algebra, and for introductions to algebraic number theory and commutative algebra ]

Abstract Algebra - Lecture notes by David Wilkins at Trinity College, Dublin.

Abstract Algebra - Intro to Abstract Algebra by Paul Garrett in PostScript and PDF.

Abstract Algebra - 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.

Abstract Algebra - A book draft: Applied Abstract Algebra by D. Joyner, R. Kreminski, J. Turisco in HTML.
Meta Description: [ Applied Abstract Algebra ]

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.

Abstract Algebra Notes - A collection of short notes by Bruce Ikenaga in PostScript.

Abstract Algebra with GAP - A laboratory manual by J. G. Rainbolt and J. A. Gallian.

Advanced Calculus and Analysis - Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
Meta Description: [ Advanced Calculus and Analysis MA1002 ]

Algebraic Combinatorics via Finite Group Actions - HTML book by A. Betten, H. Fripertinger, and A. Kerber.

Algebraic Geometry - A. Grothendieck's Séminaire de Géometrie Algébrique produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.

Algebraic Geometry - Various lecture notes by J.S. Milne.
Meta Description: [ Mathematics site of J.S. Milne; course notes, preprints, and other manuscripts. ]

Algebraic K-theory - An introduction to algebraic K-theory by Charles Weibel. Chapters in DVI.

Algebraic Topology - Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
Meta Description: [ A downloadable textbook in algebraic topology ]

500 Algebraic Topology - 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.

Algorithms and Complexity - By Herbert S. Wilf. In print 1986-1994. Single PDF file.

Analysis WebNotes - Online course by John Lindsay Orr. Chapters also available in LaTeX.

Analytic Differential Equations - Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.

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.

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.

Calculus - The Calculus Bible by G. S. Gill.

Calculus - Advanced Calculus by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.
Meta Description: [ People at the Harvard Mathematics Department ]

Calculus - Textbook by Gilbert Strang in pdf.

Calculus Using Infinitesimals - Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber Schmidt (2nd ed: 1986)

Category Theory - A Gentle Introduction to Category Theory - the calculational approach by Maarten M. Fokkinga in PostScript.

Chaos - Introduction To Chaos by Michael Cross. An online course at Caltech.

404 Chebyshev and Fourier Spectral Methods - A book by John P. Boyd (2nd edition) available from Dover.

Complex algebraic varieties and their cohomology - A book of notes by Donu Arapura.

404 Complex Analysis - Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.

Complex Analysis - Course notes by Harold V. McIntosh in HTML.
Meta Description: [ Complex Analysis ]

Complex analysis and dynamics - Various lecture notes C. McMullen

Complex analytic and algebraic geometry - Book by Jean-Pierre Demailly in PostScript.

Complex and Functional Analysis - Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.

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.

Complex Numbers - Dave's Short Course on Complex Numbers (David Joyce).

Complex-Analytic Geometry of Complex Parallelizable Manifolds - Monograph by Jörg Winkelmann.

Computational Geometry and Computational Optimization - Lecture notes by Jianer Chen in PostScript.

Description Logics Handbook - A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)
Meta Description: [ Diplom, Formale Methoden, Informatik, Künstliche Intelligenz, Logik, Europäischer Master, Fachlaureat, Internationaler Master, Master, master, Spezialisierung, Stipendium, Studienplatz, Studium, Universität Bozen, borsa di studio, informatica, intelligenza artificiale, logica, borse di studio,... ]

Differentiable manifolds - Lecture notes by Mariusz Wodzicki in postscript or pdf.

Differential Algebra - Scans of Ritt's 1950 classic in PDF.

Differential Equations - Postscript notes on various topics in differential equations by Bruce Ikenaga.

Differential forms - An introduction to differential forms and other notes by Donu Arapura.

Differential Geometry - Notes by Balázs Csikós. Chapters in PostScript.

Differential Geometry - Several books by Peter W. Michor et al. including Foundations of Differential GeometryNatural operations in differential geometry (corrected version), Transformation Groups, and Gauge theory for fiber bundles plus papers by the author in postscript.

Differential Geometry - Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.

Differential Geometry - Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
Meta Description: [ Differential Geometry. Honours 1996 ]

Differential Geometry and Physics - Lecture notes by Gabriel Lugo.

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.
Meta Description: [ On-line introduction to differential geometry and general relativity. This is an upper level undergraduate mathematics course which assumes a knowledge of calculus, some linear algebra. No knowledge of relativity is assumed. ]

Differential Topology - Course notes by Matthew G. Brin in PostScript including Introduction to Differential TopologyIntroduction to Seifert fibered 3-manifoldsGroups acting on 1-dimensional spaces, and Presentations, conjugacy, roots and centralizers in groups of piecewise linear homeomorphisms of the real line

404 Discrete Mathematics - Lecture notes by László Lovász in Postscript. Includes Discrete MathematicsSemidefinite optimizationTopological methods in combinatorics, and Complexity of algorithms
Meta Description: [ A list of links to lecture notes written by Laszlo Lovasz ]

Distributions, Fourier Transforms and Microlocal Analysis - A short course by Yuri Safarov

Dynamical Systems - 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.

404 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).
Meta Description: [ School of Mathematics, The University of Manchester ]

Dynamical Systems and Fractals - Lecture Notes by David J. Wright in HTML.
Meta Description: [ Dynamical Systems and Fractals Lecture Notes ]

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. Theorems are carefully stated, though only occasionally proved.

Dynamics in One Complex Variable: Introductory Lectures - Lecture notes by John Milnor in TeX and PostScript.

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.
Meta Description: [ An online textbook on abstract algebra with emphasis on linear algebra. ]

Entropy of Compact Group Automorphisms - Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.

Euclid's Elements - Edited by D.E. Joyce. HTML text with Java applets.

500 Finite Element Method/Boundary Element Method - Notes by Peter Hunter and Andrew Pullan in pdf.

Finite Fields - An Introduction to Finite Fields by Bill Cherowitzo (html).

Finite Rank Torsion Free Modules Over Dedekind Domains - Monograph in commutative ring theory by Lee Lady. DVI and PDF.
Meta Description: [ Lee Lady: An unfinished monograph on finite rank torsion free abelian groups and modules over dedekind domains ]

Finite Simple Groups - The classification of the finite simple groups by D. Gorenstein, R. Lyons, and R. Solomon in PDF.

Flatland - A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.

404 Fourier Analysis - Lecture notes by Yuri Safarov.

Fractals in the Plane - Ergodic Theory Methods - A book by F. Przytycki and M. Urbanski in Postscript.

Functional Analysis - Lecture notes by Paul Garrett.

Functional Analysis and Semi-Groups - Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.

Fundamental Problems in Algorithmic Algebra - Book by Chee Yap published by Oxford University Press in 1999.

Fundamentals of Model Theory - Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.

Generatingfunctionology - By Herbert S. Wilf. Published by Academic Press. PDF.

Geometric Asymptotics - This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.

Geometric Constraint Solving - An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.

Geometry and the Imagination - An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.

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 or chapters in crosslinked PDF.

Graph Theory - Hyperlinked PDF version of a book by Reinhard Diestel.

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.

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 Linj#228;ra Evolutionsekvationer (Swedish).

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.

404 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.

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.

Index Theory, Geometric Scattering, and Differential analysis on manifolds with corners - Several books by Richard Melrose et al. in PostScript.

404 Integral And Differential Equations - Class notes by Jim Herod at Georgia Tech.

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.

Inverse Problems - Lecture notes by Sze Tan.

Linear Algebra - Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.

Linear Algebra - Elementary Linear Algebra by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.

Linear Algebra and Applications - Textbook by Thomas Shores. GIFs of pages.
Meta Description: [ Linear algebra material. ]

404 Linear Algebra Notes and Exercises - A collection of mini-lessons in pdf format designed for self-instruction over the web by Jonathan Spingarn.

404 Linear Algebra, Infinite Dimensions, and Maple - A textbook by James Herod.

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.

Linear Programming: Foundations and Extensions - Book by Robert J. Vanderbei in PDF.

Linearization via the Lie Derivative - By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.

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.

Mathematical Illustrations - A manual of geometry and PostScript by Bill Casselman, including code samples and packages.

Mathematical Logic - A Problem Course in Mathematical Logic by Stefan Bilaniuk in LaTeX, PostScript or PDF.

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.

Mathematical Modeling in a Real and Complex World - Online guide book by Frank Wattenberg in HTML.

Mathematical Principles of Natural Philosophy - Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).

Matrices - The 1934 classic Lectures on Matrices by Wedderburn in scanned PDF.

Matrix Analysis and Applied Linear Algebra - By Carl D. Meyer. Full text in PDF with errata, updates and solutions.

Matroid Decomposition - Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.

Measure Theory - A book by D.H. Fremlin. Plain tex sources.

Mechanism of the Heavens - A book on celestial mechanics by Mary Somerville (1831).
Meta Description: [ Research bibliographies, books, art, music, science, theater, and cinema with links to over 1,000 interdisciplinary entries compiled by Russell McNeil. ]

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).

404 Mixed Motives - Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
Meta Description: [ add a sentence describing the content here ]

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations - A monograph by Ralph Showalter in PDF.

Multigrid Methods - An Introduction to Multigrid Methods by Pieter Wesseling.

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.

404 Multivariable Calculus - Textbook by George Cain and James Herod. Chapters in PDF.

Natural Operations in Differential Geometry - By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF.

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 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.

404 Numerical Analysis - Introduction to Numerical Analysis Using Maple by Barry G. Adams in HTML.

Numerical Grid Generation - A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.

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.

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 ordinary differential equations numerically. The performance of different algorithms can be compared.

Open Math Text Lecture Notes - Lecture notes on various topics (English and Spanish) in Word and PDF format.

Optimization - Lecture Notes on Optimization by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.

Ordinary Differential Equations - Course notes by Klaus Schmitt at the University of Utah.

404 Ordinary Differential Equations - Informal postscript notes for a course by Sheldon Newhouse at Michigan State.

Partial Differential Equations - Maple lessons for an undergraduate course in Differential Equations by Jim Herod.

Partial Differential Equations - PDE Primer by Ralph Showalter at Oregon State.

Partial Differential Equations - Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.

Physics, Invariant Theory, Modular Forms, and Algebraic Geometry - Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.

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.

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.

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.

404 Real Analysis - Lecture notes by Yuri Safarov.

Riemannian Geometry - An Introduction to Riemannian Geometry by S. Gudmundsson in postscript (1996).

500 Semi-Simple Lie Algebras and their Representations - Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.

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.

Sheaf Cohomology - Mathematical notes on sheaves and other topics by P. Morandi.

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.

Splines and Wavelets - A monograph by Karl Scherer in German (DVI and Postscript).

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.

Templates for the Solution of Linear Systems - Book on iterative methods by Richard Barrett et al. in HTML and Postscript.

Tensor Calculus and Continuum Mechanics - Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.

404 The FEMCI Book - Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.

The Limits of Mathematics - An online course on information theory and the limits of formal reasoning by G.J. Chaitin.

Theory of Symmetry and Ornament - Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML

Topology - 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.

Topology - Lecture notes by David R. Wilkins at Trinity College, Dublin.

Topology Course Lecture Notes - By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.

Topology Without Tears - A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.

Toposes, Triples and Theories - A book by Michael Barr and Charles Wells originally published by Springer Verlag.

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.

Trigonometry - Dave's Short Trig Course by D. E. Joyce. HTML with Java.

500 Universal Algebra - A Course in Universal Algebra by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.

Wavelet Tutorial - Guide to wavelet analysis by Robi Polikar.

Wavelets - An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.