Topology from the Differentiable Viewpoint
By (author) John Willard Milnor
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Topology from the Differentiable Viewpoint by John Willard Milnor
Book DescriptionThis 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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Book DetailsISBN: 9780691048338
(229mm x 152mm x 4mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 24-Nov-1997
Country of Publication: United States
Books By Author John Willard Milnor
Morse Theory, Paperback (May 1963)» View all books by John Willard Milnor
One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. This book offers an exposition of Morse theory by John Milnor, recipient of the Fields Medal in 1962.
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