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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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Multiplier Ideals for Algebraic Geometers - http://www.math.lsa.umich.edu/~rlaz/
Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI 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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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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Multigrid Methods - http://www.mgnet.org/mgnet-books-wesseling.html
"An Introduction to Multigrid Methods" by Pieter Wesseling. |
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Spinors, Spectral Geometry, and Riemannian Submersions - http://www.emis.de/monographs/GLP/
Monograph by Peter B. Gilkey, John V. Leahy and Jeonghyeong Park published by Seoul National University in 1998. DVI and PostScript. |
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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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Entropy of Compact Group Automorphisms - http://www.mth.uea.ac.uk/~h720/lecturenotes/
Lecture notes based on a course at Ohio State in 1994 by Thomas Ward in DVI and PostScript. |
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Meta Math! The Quest for Omega - http://www.umcs.maine.edu/~chaitin/omega.html
A mathematical and philosophical book by Gregory Chaitin on logic, information theory, complexity, etc. (available in html or 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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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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Numerical Grid Generation - http://www.erc.msstate.edu/publications/gridbook/
A book by Thompson, Warsi, and Mastin, previously published by Elsevier, in HTML. |
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Splines and Wavelets - http://www.iam.uni-bonn.de/~scherer/wavelets.html
A monograph by Karl Scherer in German (DVI and Postscript). |
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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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Tensor analysis - http://www.geocities.com/r-sharipov/r4-b6.htm
A quick introduction to tensor analysis by Ruslan Sharipov (English and Russian versions). |
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Mathematical Principles of Natural Philosophy - http://members.tripod.com/~gravitee/
Principia by Isaac Newton (1687) translated by Andrew Motte (1729) in HTML (incomplete). |
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Sheaf Cohomology - http://sierra.nmsu.edu/morandi/notes/mathematicalnotes.html
Mathematical notes on sheaves and other topics by P. Morandi. |
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Dynamics and Chaos - http://www.mathphysics.com/dynam/
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. |
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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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Linear Algebra and Multidimensional Geometry - http://www.geocities.com/r-sharipov/r4-b2.htm
A textbook by Ruslan Sharipov (English and Russian versions). |
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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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Several complex variables - http://www-fourier.ujf-grenoble.fr/~demailly/lectures.html
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. |
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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. |
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Inverse Problems - http://www.phy.auckland.ac.nz/Staff/smt/453707SC.html
Lecture notes by Sze Tan. |
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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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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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Fundamentals of Model Theory - http://at.yorku.ca/i/a/a/i/10.htm
Introductory textbook by William Weiss and Cherie D'Mello. PostScript, DVI, GIF. |
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Complex Dynamics in Higher Dimensions - http://www.math.lsa.umich.edu/~fornaess/ComplexDynamicsI.ps
CBMS lecture notes by John Erik Fornćss at the bottom of page with other papers by the author and Nessim Sibony. PostScript. |
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Complex-Analytic Geometry of Complex Parallelizable Manifolds - http://www.iecn.u-nancy.fr/~winkelma/mirror/unibas/cplx/papers/gca.html
Monograph by Jörg Winkelmann. |