Topology from the Differentiable Viewpoint
John Willard Milnor
- 出版商: Princeton University
- 出版日期: 1997-12-14
- 售價: $2,380
- 貴賓價: 9.5 折 $2,261
- 語言: 英文
- 頁數: 80
- 裝訂: Paperback
- ISBN: 0691048339
- ISBN-13: 9780691048338
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相關分類:
微積分 Calculus
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商品描述
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.