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Topology from the Differentiable Viewpoint by John Milnor (Paperback, 1997)
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Topology from the Differentiable Viewpoint, Paperback by Milnor, John Willard, ISBN 0691048339, ISBN-13 9780691048338, Like New Used, Free P&P in the UK 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.
