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.
General
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