【几何与拓扑学】 Smooth Manifolds and Fibre Bundles with Applications to (2016)

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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen



This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics provides complete and rigorous proofs of all the results presented within.

Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry with non-trivial applications especially within the general theory of relativity. The emphasis is upon a systematic and logical construction of the mathematical foundations. It can be used as a textbook for a pure mathematics course in differential geometry, assuming the reader has a good understanding of basic analysis, linear algebra and point set topology. The book will also appeal to students of theoretical physics interested in the mathematical foundation of the theories.

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关键词：Applications Application manifolds Manifold Bundles foundation presented provides themes within

cmwei333 发表于 2017-1-25 05:01
Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen

这个很难

谢谢分享

谢谢你的书！

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谢谢楼主分享！

kankan

Smooth Manifolds and Fibre Bundles with Applications to (2016) [修改]