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Topology from the Differentiable Viewpoint.
・ISBN 978-0-691-04833-8 paper US$ 57.00
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| 著者・編者 | Milnor, John, |
|---|---|
| シリーズ | Princeton Landmarks in Mathematics and Physics |
| 出版社 | (Princeton University Press, US) |
| 出版年月 | 1997 |
| ページ数 | 80 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-6772 M25-8852＞ |
解説
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.