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http://www.justpasha.org/math/links/books/online.html
介绍：
大量数学相关连接，可下载的图书有
Unsolved Problems in Mathematical Systems and Control Theory (ed. Vincent D. Blondel and Alexandre Megretski), Princeton U. Press, 2004.
Jiri Adamek, Horst Herrlich and George E. Strecker, Abstract and Concrete Categories (The Joy of Cats).
A.A.Agrachev and Yu.L.Sachkov, Control Theory from the Geometric Viewpoint, September, 2003.
Douglas N. Arnold, Lecture Notes on Complex Analysis and Functional Analysis, Penn State, 1997.
Andrea Asperti and Giuseppe Longo, Categories, Types and Structures. An introduction to Category Theory for the working computer scientist, M.I.T. Press, 1991.
David Bachman, A Geometric Approach to Differential Forms, arXiv:math.GT/0306194, 106 pages.
Michael Barr and Charles Wells, Toposes, Triples and Theories, Springer, 1983.
John A. Beachy, Abstract Algebra Online.
A.Beilinson and V.Drinfeld, Quantization of Hitchin's Integrable Systems and Hecke Eigenvalues, Draft, 2000.
David Benson, Mathematics and Musics, Lecture Notes, 2003.
Stefan Bilaniuk, A Problem Course in Mathematical Logic.
Ola Bratteli and Derek Robinson, Operator Algebras and Quantum Statistical Mechanics, 2 volumes, Springer, 2002.
Robert L. Bryant, Phillip A. Griffiths, Daniel A. Grossman, Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, University of Chicago Press, 2003 (?).
W. Bulla et al., Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchy, Memoirs AMS 641(1998).
Stanley N. Burris and H.P. Sankappanavar, A Course in Universal Algebra.
Robert Cahn, Semisimple Lie Algebras and Their Representations, Benjamin-Cummings, 1984.
George Cain, Complex Analysis, 2001.
Peter J. Cameron, Lecture Notes on Classical Groups, U. London, 2000.
Eugenia Cheng and Aaron Lauda, Higher-Dimensional Categories: an illustrated guide book, Draft.
George W. Collins, Fundamental Numerical Methods and Data Analysis.
R. Coquereaux, Espaces Fibrés et Connexions, Version 3.0, May 2002.
William Crawley-Boevey, Lecture Notes on various topics in representation theory of associative algebras.
Balázs Csikós, Lecture Notes in Projective Geometry.
Predrag Cvitanovic', Group Theory - Classics Illustrated.
Unitary, orthogonal, symplectic, exceptional of Lie type groups, Young projection operators, etc.
Lee D. Davisson & Robert M. Gray, Introduction to Statistical Signal Processing, Cambridge U. Press, 2005.
Dennis Deturck and Herbert Wilf, Lecture Notes on Numerical Analysis, 2002.
Igor Dolgachev, Lecture Notes on Invariant Theory, Physics, Modular Forms, Algebraic Geometry, String Theory.
Steven Duplij, Semisupermanifolds and semigroups, Kharkov, 2000 (in Russian).
David Eisenbud, Geometry of Syzygies, Springer, forthcoming.
Pavel Etingof, Eigenvalue problems and differential Galois theory, Talk at Columbia U., October 19, 1999.
I.B. Fesenko and S.V. Vostokov, Local Fields and Their Extensions, 2nd ed, AMS, 2002.
Maarten M. Fokkinga, A Gentle Introduction to Category Theory - the calculational approach, 1992.
Edward Frenkel & David Ben-Zvi, Vertex Algebras and Algebraic Curves, 1st ed., AMS, 2001.
contents, preface, introduction, first chapter.
U.H.Gerlach, Linear Mathematics in Infinite Dimensions. Signals, Boundary Value Problems and Special Functions.
V.L. Ginzburg, V. Guillemin and Y. Karshon, Moment maps, Cobordisms, and Hamiltonian Group Actions, AMS, to be published.
Robert M. Gray, 3 books: \"Toeplitz and Circulant Matrices\", \" robability, Random Processes, and Ergodic Properties\", \"Entropy and Information Theory\".
Charles Grinstead & J. Laurie Snell, Introduction to Probability, AMS, 1997.
Brian C. Hall, An Elementary Introduction to Groups and Representations, arXiv:math-ph/0005032 (preprint version of \"Lie Groups, Lie Algebras, and Representations. An Elementary Introduction\", Springer, GTM 222, 2003).
Allen Hatcher, 3 books: Algebraic Topology, Vector Bundles and K-Theory, and Spectral Sequences in Algebraic Topology, Cambridge U. Press and others two are in prepartion.
John H. Heinbockel, Introduction to Tensor Calculus and Continuum Mechanics.
Robert A. Herrmann, Nonstandard Analysis Applied to Advanced Undergraduate Mathematics - Infinitesimal Modeling, arXiv:math.GM/0312432.
Krzysztof Jarocz, Perturbations of Banach Algebras, LNM 1120(1985).
H. Jerome Keisler, Elementary Calculus: An Approach Using Infinitesimals, 2nd edition, 1986.
Alexandre Kirillov, Lectures on the Orbit Method.
Donald E. Knuth, Tracy L. Larrabee, and Paul M. Roberts, Mathematical Writing, Mathematical Association of America, 1989.
Maxim Kontsevich, Course in deformation theory.
Hojoo Lee, Topics in Inequalities.
L.S.Levitov and A.V.Shytov, Green's functions. Theory and practice, Fizmatlit, 2002 (in Russian).
Lynn H. Loomis and Shlomo Sternberg, Advanced Calculus, revised edition, Jones and Bartlett Publ., 1990.
M.Lothaire, \"Algebraic Combinatorics on Words\", \"Applied Combinatorics on Words\" and first chapter of \"Combinatorics of Words\", Not published (yet) and Cambridge U. Press, 2002 and 1997, resp.
A.Lubotzky and D.Segal, Subgroup Growth, Birkh??user, 2001.
G.Luke and A.S.Mishchenko, Vector Bundles and Their Applications, Kluwer, 1998 [without table of contents].
Eli Maor, Trigonometric Delights, Princeton U. Press, 1998.
J.E.Marsden and T.S.Ratiu, Introduction to Mechanics and Symmetry, Draft of 2nd ed., 1999.
Jerrold E. Marsden et al., Hamiltonian Reduction by Stages, Preprint, 2003.
J. Peter May, A Concise Course in Algebraic Topology, U. of Chicago Press, 1999.
Carl D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM.
J. S. Milne, Course Notes in Group Theory, Galois Theory and various topics in Algebraic Geometry.
A.S.Mishchenko, Yu.P.Solovjov, A.T.Fomenko, Problems in Differential Geometry and Topology, Moscow, 2000.
Sidney A. Morris, Topology Without Tears.
Amnon Neeman, Triangulated Categories.
Edward Nelson, 3 books: Théorie radicalement élémentaire des probabilités, Dynamical Theories of Brownian Motion, and Unfinished book on nonstandard analysis, Princeton U. Press, 1987, 1967, and draft.
Bodo Pareigis, Lecture Notes on Quantum Groups, 1999.
Bruno Poizat, Cours de théorie des modèles, (in Russian).
Mark Pollicott and Michiko Yuri, Dynamical Systems and Ergodic Theory, Cambridge University Press, 1998.
Douglas Ravenel, Complex cobordism and stable homotopy groups of spheres, AMS Chelsea, 2nd ed., 2003.
Ross Street, Quantum Groups: an entrée to modern algebra, 1998.
Gerald Jay Sussman, Jack Wisdom and Meinhard E. Mayer, Structure and Interpretation of Classical Mechanics, MIT Press, 2001.
Paul Taylor, Practical Foundations of Mathematics, Cambridge U. Press, 2000.
Gerlad Teschl, Jacobi Operators and Completely Integrable Nonlinear Lattices, AMS, 2000.
Lloyd N. Trefethen, Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations, 1996.
Stanislaw M. Ulam, Analogies Between Analogies. The Mathematical Reports of S.M. Ulam and his Los Alamos Collaborators, U. of California Press, 1990.
O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev, Elementary Topology, First Course.
Garth Warner, Topics in Topology and Homotopy Theory, 1999.
Charles Weibel, An Introduction to Algebraic K-Theory.
William Weiss and Cherie D'Mello, Fundamentals of Model Theory, 1997, 63p.
Herbert Wilf, generatingfunctionology, Academic Press, 1994.
Herbert Wilf, Algorithms and Complexity, 1st edition, 1994.
Chee Yap, Fundamental Problems in Algorithmic Algebra, preliminary version, 1992.
Chapters on Gr??bner bases and on symbolic computations. |
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发表于 2005-8-22 14:42:40
