# Topology from the Differentiable Viewpoint

Princeton University Press, 1997/12/14 - 64 y[W

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.

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 Smooth manifolds and smooth maps 1 The theorem of Sard and Brown 10 Proof of Sards theorem 16 Oriented manifolds 26
 Vector fields and the Euler number 32 Framed cobordism the Pontryagin construction 42 Exercises 52 쌠

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59 y[W - Debreu, G., Theory of Value, New York, Wiley, 1959. [6] Dhrymes, PJ, On a Class of Utility and Production Functions Yielding Everywhere Differentiable Demand Functions, Review of Economic Studies, 34(1967), 399-408.