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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.
Price: $54.00
Pages: 80
Publisher: Princeton University Press
Imprint: Princeton University Press
Series: Princeton Landmarks in Mathematics and Physics
Publication Date:
14 December 1997
ISBN: 9780691048338
Format: Paperback
BISACs:
"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"