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Topology from the Differentiable Viewpoint, Paperback / softback Book

Topology from the Differentiable Viewpoint Paperback / softback

Part of the Princeton Landmarks in Mathematics and Physics series

Paperback / softback

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.

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