Online Texts Publications Math

Online Texts

Mathematics books and similar texts online in HTML or downloadable formats such as DVI, PostScript, PDF.

• Top/Computers/E-Books

• - Scans of Ritt's 1950 classic in PDF.
  
• - A laboratory manual by J. G. Rainbolt and J. A. Gallian.
  
• - Book by R. Abraham, J. E. Marsden, and T. Ratiu originally published by Addison-Wesley in 1983. Chapters in PDF.
  
• - By Carl D. Meyer. Full text in PDF with errata, updates and solutions.
  
• - Lecture notes by Sze Tan.
  
• - An introduction to differential forms and other notes by Donu Arapura.
  
• - Edited by D.E. Joyce. HTML text with Java applets.
  
• - "Dave's Short Trig Course" by D. E. Joyce. HTML with Java.
  
• - Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
  
• - "A Course in Universal Algebra" by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
  
• - Textbook by Thomas Shores. GIFs of pages.
  
• - "Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell in PDF. Published by the AMS. The site also contains additional teaching resources.
  
• - Class notes by Jim Herod at Georgia Tech.
  
• - 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.
  
• - "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 guide book by Frank Wattenberg in HTML.
  
• - Textbook for beginning graduate students of mathematics, engineering, and the physical sciences by Ralph Showalter. Chapters in PostScript and PDF.
  
• - "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
  
• - By Herbert S. Wilf. In print 1986-1994. Single PDF file.
  
• - "An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996).
  
• - "A Gentle Introduction to Category Theory - the calculational approach" by Maarten M. Fokkinga in PostScript.
  
• - Lecture notes by Gabriel Lugo.
  
• - Guide To History of Calculus. Topic essays and biographies keyed to the chapters and content of the 10th edition of Thomas's Calculus.
  
• - "The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF.
  
• - Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript.
  
• - "Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.
  
• - Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript.
  
• - 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.
  
• - Postscript notes on various topics in differential equations by Bruce Ikenaga.
  
• - Lecture notes by John Milnor in TeX and PostScript.
  
• - 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.
  
• - 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.
  
• - Monograph by Peter B. Gilkey published by Publish or Perish and CRC Press. Whole book or chapters in DVI and Postscript.
  
• - Monograph by Slavik V. Jablan published by the Serbian Academy of Science and Arts in 1995. HTML
  
• - Notes by Peter Hunter and Andrew Pullan in pdf.
  
• - 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.
  
• - 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.
  
• - 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
  
• - Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
  
• - A mathematical and philosophical book by Gregory Chaitin on logic, information theory, complexity, etc. (available in html or pdf).
  
• - Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
  
• - A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
  
• - Book by Einar Hille and Ralph S. Phillips published by AMS in 1957. Scanned chapters in PDF.
  
• - 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.
  
• - An online course by John Conway, Peter Doyle, Jane Gilman and Bill Thurston in HTML and PostScript.
  
• - By Carmen Chicone and Richard Swanson. LaTeX, DVI, PostScript and PDF.
  
• - Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
  
• - Elementary Calculus: An Approach - a book by H. Jerome Keisler originally published by Prindle, Weber & Schmidt (2nd ed: 1986)
  
• - "A Problem Course in Mathematical Logic" by Stefan Bilaniuk in LaTeX, PostScript or PDF.
  
• - Several books by Richard Melrose et al. in PostScript.
  
• - A book by David M. Goldschmidt based on lecture notes of a course given at Berkeley in 1989.
  
• - "Advanced Calculus" by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.
  
• - Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
  
• - "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
  
• - A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML.
  
• - Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.
  
• - HTML book by A. Betten, H. Fripertinger, and A. Kerber.
  
• - Lecture notes by David R. Wilkins at Trinity College, Dublin.
  
• - 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
  
• - A monograph by Ralph Showalter in PDF.
  
• - Book on iterative methods by Richard Barrett et al. in HTML and Postscript.
  
• - CBMS lecture notes by John Erik Fornæss at the bottom of page with other papers by the author and Nessim Sibony. PostScript.
  
• - By Herbert S. Wilf. Published by Academic Press. PDF.
  
• - Mathematical notes on sheaves and other topics by P. Morandi.
  
• - A course on Description Logics (the Semantic Web underlying formalism) by E. Franconi (modules in pdf)
  
• - Book for particle physicists by Robert N. Cahn. Published by Benjamin-Cummings in 1984. Chapters in PostScript.
  
• - A book by Michael Barr and Charles Wells originally published by Springer Verlag.
  
• - A short course by Yuri Safarov
  
• - Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.
  
• - A book by Dahlberg and Kenig in postscript (bitmapped fonts). The page also contains another book by Dahlberg: "Icke Linjära Evolutionsekvationer" (Swedish).
  
• - Lecture notes by Yuri Safarov.
  
• - Lecture notes by Douglas N. Arnold for a course at Penn State. Two parts in TeX, DVI, PostScript and PDF.
  
• - Book by Jean-Pierre Demailly in PostScript.
  
• - Introduction To Chaos by Michael Cross. An online course at Caltech.
  
• - Various lecture notes by J.S. Milne.
  
• - Guide to wavelet analysis by Robi Polikar.
  
• - Textbook by George Cain and James Herod. Chapters in PDF.
  
• - Course notes and quizzes by Paul Scott in HTML.
  
• - Lecture Notes by David J. Wright in HTML.
  
• - A book by John P. Boyd (2nd edition) available from Dover.
  
• - 1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
  
• - Informal postscript notes for a course by Sheldon Newhouse at Michigan State.
  
• - E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.
  
• - Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript.
  
• - Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF.
  
• - "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
  
• - A book of notes by Donu Arapura.
  
• - An online course on information theory and the limits of formal reasoning by G.J. Chaitin.
  
• - 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
  
• - 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.
  
• - "An Introduction to Multigrid Methods" by Pieter Wesseling.
  
• - A book by F. Przytycki and M. Urbanski in Postscript.
  
• - By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript.
  
• - A collection of mini-lessons in pdf format designed for self-instruction over the web by Jonathan Spingarn.
  
• - Foundational textbook on abstract algebra with emphasis on linear algebra by Edwin H. Connell. Whole book or chapters in DVI, PostScript, and PDF.
  
• - Book by Robert J. Vanderbei in PDF.
  
• - "An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
  
• - A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.
  
• - 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
  
• - Hyperlinked PDF version of a book by Reinhard Diestel.
  
• - This book by Guillemin and Sternberg includes the method of stationary phase, geometrical optics, quantization.
  
• - Monograph in commutative ring theory by Lee Lady. DVI and PDF.
  
• - Monograph by Jörg Winkelmann. Chapters in DVI.
  
• - A monograph by Karl Scherer in German (DVI and Postscript).
  
• - 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.
  
• - A manual of geometry and PostScript by Bill Casselman, including code samples and packages.
  
• - A textbook by James Herod.
  
• - Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and PostScript.
  
• - 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.
  
• - An electronic primer by William Bouma, Xiangping Chen, Ioannis Fudos, Christoph Hoffmann, and Pamela J. Vermeer.
  
• - A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML.
  
• - "Introduction to Numerical Analysis Using Maple" by Barry G. Adams in HTML.
  
• - Lecture notes by Mariusz Wodzicki in postscript or pdf.
  
• - "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).
  
• - Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
  
• - Lecture notes by Jianer Chen in PostScript.
  
• - Lecture notes by Yuri Safarov.
  
• - Lecture notes by Paul Garrett.
  
• - Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete).
  
• - A book on celestial mechanics by Mary Somerville (1831).
  
• - The complete Numerical Recipes books in C, Fortran 77, and Fortran 90 On-Line, in both PostScript and Adobe Acrobat formats.
  
• - Translation of a monograph by Aizik Volpert, Vitaly Volpert, and Vladimir Volpert published by AMS in 1994. Whole book or chapters in PDF.
  
• - 1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.
  
• - Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
  
• - The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF.
  
• - An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
  
• - A collection of short notes by Bruce Ikenaga in PostScript.
  
• - A romance of many dimensions. With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926). HTML.
  
• - A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions).
  
• - Lecture notes by László Lovász in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
  
• - A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
  
• - "Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
  
• - A textbook by Ruslan Sharipov (English and Russian versions).
  
• - Book by Chee Yap published by Oxford University Press in 1999.
  
• - A textbook by Ruslan Sharipov (English and Russian versions).
  
• - By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF.
  
• - Online course by John Lindsay Orr. Chapters also available in LaTeX.
  
• - Various lecture notes C. McMullen
  
• - Dave's Short Course on Complex Numbers (David Joyce).
  
• - 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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