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Topology from the Differentiable Viewpoint

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Topology from the Differentiable Viewpoint - Milnor, John
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Mathematician John Milnor provides a 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. Milnor also presents proofs of Sard's theorem and the Hopf theorem.

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Topology from the Differentiable Viewpoint 1997, Princeton University Press, Princeton

ISBN-13: 9780691048338

Rev edition

Trade paperback

Topology from the Differentiable Viewpoint 1965, University of Virginia Press

ISBN-13: 9780813901817

2nd edition

Trade paperback