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.

Topology from the Differentiable Viewpoint

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Paperback / softback by John 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... Read more

    Publisher: Princeton University Press
    Publication Date: 14/12/1997
    ISBN13: 9780691048338, 978-0691048338
    ISBN10: 0691048339

    Number of Pages: 80

    Non Fiction , Mathematics & Science , Education

    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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