Differential Geometry and Lie Groups for Physicists pdf epub mobi txt 電子書下載2025

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出版者:Cambridge Univ Pr

作者:Fecko, Marian

出品人:

頁數:697

译者:

出版時間:2006-10

價格:$ 134.47

裝幀:HRD

isbn號碼:9780521845076

叢書系列:

圖書標籤:

微分幾何
數學
physicists
物理
數學物理
微分幾何7
lie
groups

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Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This 2006 textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.

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稍微读过前14章, 我现在列一下优缺点： 1.符号不是很好，泛函不用中括号，搞得人很迷糊。也没有符号列表。 2.严格性欠缺一点（也可以说是一个优点，拜此所赐，我看得很流畅） 3.pullback的定义有点含糊，这个定义极端重要，参考Nakahara或Hassani。 4.没有例题，我果然是还是喜...

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