- A=B
Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
- Abstract Algebra
Lecture notes by David Wilkins from a course at Trinity College, Dublin. Three parts in DVI, PostScript and PDF.
- 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.
- 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.
- Abstract Algebra: The Basic Graduate Year
By Robert B. Ash. Chapters in PDF.
- Advanced Calculus and Analysis
Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
- 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.
- 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.
- Algebraic Topology
1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
- Algebraic Topology: A Computational Approach
Book by T. Kaczynski, K. Mischaikow, and M. Mrozek in PostScript.
- 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.
- Applied Cryptography
1996 CRC Handbook of Applied Cryptography by Menezes, van Oorschot and Vanstone in PDF.
- 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 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.
- Complex Analysis
Course notes by Harold V. McIntosh in HTML.
- Complex Analysis
Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
- Complex Analysis
Course notes and quizzes by Paul Scott in HTML.
- 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. Chapters in DVI.
- 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)
- Differential Algebra
Scans of Ritt's 1950 classic in PDF.
- Differential Geometry
Notes by Balázs Csikós. Chapters in PostScript.
- Differential Geometry
"Natural operations in differential geometry" by Ivan Kolar, Jan Slovak and Peter W. Michor published by Springer-Verlag in 1993. DVI, PostScript and PDF.
- Differential Geometry
Several books by Peter W. Michor et al. including "Foundations of Differential Geometry", "Natural 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.
- Differential Geometry and General Relativity
Introduction to differential geometry and general relativity by Stefan Waner at Hofstra University in HTML.
- 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, roots and centralizers in groups of piecewise linear homeomorphisms of the real line".
- Discrete Mathematics
Lecture notes by László Lovász in Postscript. Includes "Discrete Mathematics", "Semidefinite optimization", "Topological methods in combinatorics", and "Complexity of algorithms".
- Dynamical Systems
1927 classic by George D. Birkhoff published by AMS. Scanned chapters in PDF.
- 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).
- Dynamical Systems and Ergodic Theory
Corrected version of a book by M. Pollicott and M. Yuri published by Cambridge University Press in 1998.
- Dynamical Systems and Fractals
Lecture Notes by David J. Wright in HTML.
- 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.
- 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.
- Finite Applied Associative Algebra (semigroups) & Digital Networks
A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics.
- Finite Element Method/Boundary Element Method
Notes by Peter Hunter and Andrew Pullan. Postscript and PDF.
- Finite Rank Torsion Free Modules Over Dedekind Domains
Monograph in commutative ring theory by Lee Lady. DVI and PDF.
- 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.
- Fractals in the Plane - Ergodic Theory Methods
A book by F. Przytycki and M. Urbanski in Postscript.
- 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.
- 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).
- 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.
- 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.
- Interactive Real Analysis
"Interactive Real Analysis" by Bert G. Wachsmuth. HTML and Java.
- 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.
- 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.
- 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.
- 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.
- 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 and Integration
Lecture notes by Vitali Liskevich in DVI from a course taught at the Univ. of Bristol.
- Mixed Motives
Monograph by Marc Levine published by AMS in 1998. Whole book or chapters in PDF.
- 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.
- Multivariable Calculus
Textbook by George Cain and James Herod. Chapters in 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.
- 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.
- Optimization
"Lecture Notes on Optimization" by Pravin Varaiya. This book is an introduction to mathematical programming, optimal control, and dynamic programming.
- 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.
- 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.
- 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.
- Riemannian Geometry
"An Introduction to Riemannian Geometry" by S. Gudmundsson in postscript (1996).
- 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.
- 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 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.
- 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.
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