See also: | This category in other languages: |
|
- A=B - - Combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF.
|
- Abstract Algebra - - "Intro to Abstract Algebra" by Paul Garrett in PostScript and PDF.
|
- Abstract Algebra - - A book draft: "Applied Abstract Algebra" by D. Joyner, R. Kreminski, J. Turisco in HTML.
|
- 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.
|
- 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 II - - A companion volume to "Abstract Algebra" by John A. Beachy and Bill Blair published by Waveland Press in 1995. Chapters in PostScript.
|
- Algebraic Geometry - - A. Grothendieck's "Séminaire de Géometrie Algébrique" produced by F. Calegari, J. Borger and W. Stein. JPEG scans of typewritten material.
|
- Algebraic K-theory - - "An introduction to algebraic K-theory" by Charles Weibel. Chapters in DVI.
|
- Algebraic Topology - - 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.
|
- Algebraic Topology - - Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript.
|
- Analysis WebNotes - - Online course by John Lindsay Orr. Chapters also available in LaTeX.
|
- 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.
|
- Calculus - - "Advanced Calculus" by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.
|
- 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.
|
- 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.
|
- 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.
|
- Complex Analysis - - Textbook for an introductory course in complex analysis by George Cain. Chapters in PDF.
|
- Differential forms - - An introduction to differential forms and other notes by Donu Arapura.
|
- Differential Geometry - - Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
|
- 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 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.
|
- 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).
|
- 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.
|
- The FEMCI Book - - Finite Element Modeling Continuous Improvement. A web text by Ryan Simmons.
|
- Finite Fields - - An Introduction to Finite Fields by Bill Cherowitzo (html).
|
- 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.
|
- 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.
|
- 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.
|
- 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.
|
- Linear Algebra - - "Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
|
- Linear Algebra - - Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.
|
- 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.
|
- Math Wizard - - E-book gives some ideas on alternative approaches to teaching and learning math. Page includes table of contents. Requires a purchase.
|
- 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 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.
|
- Matrices - - The 1934 classic "Lectures on Matrices" by Wedderburn in scanned PDF.
|
- Matroid Decomposition - - Monograph by Klaus Truemper published by Academic Press in 1992. Chapters in PostScript.
|
- 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).
|
- Mixed Motives - - Monograph by Marc Levine published by AMS in 1998. Whole book or 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 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.
|
- 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).
|
- 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.
|
- 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.
|
- Tensor analysis - - A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions).
|
- 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 Without Tears - - A course in topology by Sidney A. Morris in HTML with embedded GIFs. Must purchase to view.
|
- 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.
|
- Wavelets - - An Introduction to Wavelets by Amara Graps in HTML, PDF or Postscript.
|
|