<電子ブック>
An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity / by Leonor Godinho, José Natário
(Universitext. ISSN:21916675)
版 | 1st ed. 2014. |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2014 |
本文言語 | 英語 |
大きさ | X, 467 p. 60 illus : online resource |
著者標目 | *Godinho, Leonor author Natário, José author SpringerLink (Online service) |
件 名 | LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:Mechanics LCSH:Gravitation FREE:Differential Geometry FREE:Mathematical Physics FREE:Classical Mechanics FREE:Classical and Quantum Gravity |
一般注記 | Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study HTTP:URL=https://doi.org/10.1007/978-3-319-08666-8 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319086668 |
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EB00232377 |
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※2017年9月4日以降