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.
About John Willard Milnor
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Author  :  John Willard Milnor 
Publisher  :  Princeton University Press 
Data Published  :  24 November 1997 
ISBN  :  0691048339 
EAN  :  9780691048338 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  80 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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