Topology from the Differentiable Viewpoint

Type

Book

Authors

Milnor ( John Willard Milnor )

ISBN 10

0691048339

ISBN 13

9780691048338

Tags

Algebraic Geometry, Topology, Geometry

Description

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. - from Amzon

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