Topology from the Differentiable Viewpoint

by John Milnor

Book Details

Format Paperback / Softback

Book Series Princeton Landmarks in Mathematics and Physics

ISBN-10 0691048339

ISBN-13 9780691048338

Publisher Princeton University Press

Imprint Princeton University Press

Country of Manufacture US

Country of Publication GB

Publication Date Dec 14th, 1997

Print length 80 Pages

Weight 138 grams

Dimensions 22.90 x 15.30 x 0.70 cms

Product Classification: Geometry Topology

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Provides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.

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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