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Mechanism of the Heavens - http://www.malaspina.com/etext/heavens.htm
A book on celestial mechanics by Mary Somerville (1831). |
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Natural Operations in Differential Geometry - http://www.emis.de/monographs/KSM/
By Ivan Kolar, Jan Slovak and Peter W. Michor, originally published by Springer-Verlag in 1993. DVI, PostScript and PDF. |
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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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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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Dynamical Systems and Fractals - http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html
Lecture Notes by David J. Wright in HTML. |
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Generatingfunctionology - http://www.math.upenn.edu/~wilf/DownldGF.html
By Herbert S. Wilf. Published by Academic Press. PDF. |
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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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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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Linear Methods of Applied Mathematics - http://www.mathphysics.com/pde/
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. |
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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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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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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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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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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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Dynamics in One Complex Variable: Introductory Lectures - http://www.math.sunysb.edu/cgi-bin/preprint.pl?ims90-5
Lecture notes by John Milnor in TeX and PostScript. |
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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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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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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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Practical Foundations of Mathematics - http://www.dcs.qmw.ac.uk/~pt/Practical_Foundations/html/summary.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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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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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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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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Mathematical Modeling in a Real and Complex World - http://www.math.montana.edu/frankw/ccp/modeling/topic.htm
Online guide book by Frank Wattenberg in HTML. |
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Finite Simple Groups - http://www.ams.org/online_bks/surv40-1/
"The classification of the finite simple groups" by D. Gorenstein, R. Lyons, and R. Solomon in PDF. |
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Integral And Differential Equations - http://www.math.gatech.edu/~herod/4348/4348.html
Class notes by Jim Herod at Georgia Tech. |
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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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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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Linear Partial Differential Equations and Fourier Theory - http://xaravve.trentu.ca/pde.pdf
Complete textbook by Marcus Pivato on the solutions of linear partial differential equations, with emphasis on eigenfunction methods (and hence, Fourier analysis). Lots of pictures. |
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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. |