Topology from the differentiable viewpoint

By: Material type: TextLanguage: English Publication details: Charlouttesille University Press of Virginia 1965Description: ix, 64 p. Includes bibliographical references and indexSubject(s): Other classification:
  • B316, K5/SC
Summary: 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.
Item type: Reference
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Reference Ratan Tata Library Ratan Tata Library B316 K5/SC (Browse shelf(Opens below)) Not for loan RT1149109

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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