Smooth manifolds and fibre bundles with applications to theoretical physics /
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 com...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press,
[2017]
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| Series: | A Chapman & Hall book
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | "A Chapman & Hall book." |
| Physical Description: | 1 online resource (x, 641 pages) |
| Bibliography: | Includes bibliographical references (pages 629-631) and index. |
| ISBN: | 9781498796729 1498796729 9781315366722 131536672X |