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北京石油化工学院2026年研究生招生接收调剂公告
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gyliu

铁杆木虫 (职业作家)


[资源] Mathematical Metods of Classical Mechanics

V. I. Arnold - Mathematical Metods of Classical Mechanics
Author: Vladimir I. Arnold | Publisher: Springer-Verlag | ISBN 0387968903 | 2nd. Ed. 1989 | djvu, 519 pages | language: english | 4 MB

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.
This book is an example of great scientific writing style. Not all the epsilon and deltas are spelled out, and yet the the proofs are nowhere short of rigorous. Besides, they convey insight and intuition: the opposite of Gallavotti's "the element of mechanics" (a very competent book, but obsessed with details). As all the great mathematicians, Arnold separates what's essential from what is not, what is interesting from what is pedantic. The result is a challenging, wonderful book.



V.I Arnold is professor of Mathematics at the Russian Academy of Sciences. His research in the theory of differential equations (dynamical systems, stability theory, celestial and classical mechanics) has brought him world wide recognition as an outstanding mathematician and scientist. He was awarded the Lenin Prize for his work on stability theory with Kolmogorov.

http://rapidshare.com/files/47153507/A_MMOCM_xyp.rar

[ Last edited by lvzhu2007 on 2008-4-25 at 19:16 ]
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songjieguang

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★★★★★ 五星级,优秀推荐

我想要,但是下不了,搂主或其他朋友能发一分给我吗?谢谢!
songjieguang@163.com
4楼2007-08-09 08:39:42
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怀念蔡元培


★ 一星级,一般

现在已经有中译本了,楼主可以去查阅一下,不过还没来得及看
2楼2007-08-07 12:50:21
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lcscut

铁虫 (初入文坛)


读原著好,支持支持
但好象评介不了了
3楼2007-08-08 11:27:13
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gyliu

铁杆木虫 (职业作家)


引用回帖:
Originally posted by 怀念蔡元培 at 2007-8-7 12:50 PM:
现在已经有中译本了,楼主可以去查阅一下,不过还没来得及看

呵呵,本人认为还是读原著比较好一些,如果英文可以的话
5楼2007-08-21 22:25:09
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☆ 无星级 ★ 一星级 ★★★ 三星级 ★★★★★ 五星级
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