Topology from the Differentiable Viewpoint

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Topology from the Differentiable...

Topology from the Differentiable Viewpoint

John Willard Milnor

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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.

Категорії:

Mathematics - Geometry and Topology

Рік:

1997

Видавництво:

University Press Of Virginia

Мова:

english

Сторінки:

Файл:

PDF, 1.07 MB

IPFS: