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(Germany) TU Berlin — (Science/Math)
Sfb 288: Differential Geometry and Quantum Physics.
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CGTP Video Archive, Duke University — (Science/Math)
Center for Geometry and Theoretical Physics videos and associated lecture notes for selected seminars. Uses G2 Realvideo format.
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Multiplier Ideals for Algebraic Geometers — (Science/Math)
Draft of a part of a book in preparation on positivity in algebraic geometry by Robert Lazarsfeld. DVI and PostScript.
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Global Analysis — (Science/Math)
"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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Several complex variables — (Science/Math)
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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Differential Gometry and General Relativity — (Science/Math)
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.
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Basic Concepts of Mathematics — (Science/Math)
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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Abstract Algebra — (Science/Math)
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.
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Topology — (Science/Math)
"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.
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Number Theory — (Science/Math)
"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.
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Mathematical Illustrations — (Science/Math)
A manual of geometry and PostScript by Bill Casselman, including code samples and packages.
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Calculus — (Science/Math)
"Advanced Calculus" by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry.
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E-books on the Smarandache function and other topics — (Science/Math)
A collection of E-books on Smarandache functions, sequences, problems, conjectures, geometries, neutrosophic logic, and paradoxes.
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AMS Author Packages — (Science/Math)
AMS-TeX and AMS-LaTeX packages for AMS journals: Bulletin; Conformal Geometry and Dynamics; Electronic Research Announcements; Journal; Mathematics of Computation; Proceedings; Representation Theory; Transactions
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Behavior Modeler — (Science/Math)
GrafiCalc allows users to simulate and solve a wide range of geometry based computational challenges.
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Peanut Software — (Science/Math)
Free mathematics software for Windows. Individual software packages handle geometry, equations, statistics, discrete math, fractals, matrices, and games.
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GRAPE - Graphics Programming Environment — (Science/Math)
A package for mathematical visualization, particularly in the fields of differential geometry and continuum mechanics. Available free by FTP but only to university departments and similiar research sites and only for non-profit purposes.
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Arageli — (Science/Math)
C++ template library for computations in ARithmetics, Algebra, GEometry, Linear and Integer linear programming. Supports arbitrary length integers, rationals, vectors, matrices.
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Chartwell-Yorke — (Science/Math)
Computer algebra mathematics software (Derive 5 and LiveMath), Autograph for plotting, coordinate geometry and single variable statistics, Cabri-Geometre II dynamic geometry software, Fathom dynamic statistics, MathType equation editor.
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Autograph — (Science/Math)
PC software for teaching calculus, coordinate geometry, statistics and probability.
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