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商品詳細
Manifolds, Tensors, and Forms : An Introduction for Mathematicians and Physicists.
・ISBN 978-1-107-04219-3 hard GB£ 71.00
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お気に入り
★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-107-32489-3
| 著者・編者 | Renteln, Paul, |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2013 |
| ページ数 | 340 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11889＞ |
解説
Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.