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Topology from the differentiable viewpoint

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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.

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Topology from the differentiable viewpoint, John Willard Milnor

Język
Rok wydania
1997
Oprawa
(miękka)
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4,5
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Tytuł
Topology from the differentiable viewpoint
Język
angielski
Rok wydania
1997
Oprawa
miękka
ISBN10
0691048339
ISBN13
9780691048338
Seria
Ocena
4,5 z 5
Opis
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.