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关键词:
Geometric Mechanics: Toward a Unification of Classical Physics
书目信息
ISBN:
6611088032(10位)
9786611088033(13位)
中图分类号:
O3 力学 ; O4 物理学 ; P3 地球物理学 ; P14 天体物理学 ; Q6 生物物理学
杜威分类号:
中文译名:
作者:
Talman, Richard
编者:
语种:
eng
出版信息
出版社:
Wiley VCH
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出版年:
2007
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原版
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内容简介:
For physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for non-mathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, the author treats Lagrangian, Hamiltonian, and Newtonian mechanics separately - exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. This second, fully revised edition has been expanded to include new chapters on electromagnetic theory, general relativity, and string theory. "Geometric Mechanics" features illustrative examples and assumes only basic knowledge of Lagrangian mechanics.
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页码:
605
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