Topology from the Differentiable Viewpoint
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Description: 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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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $46.00
Copyright year: 1998
Publisher: Princeton University Press
Publication date: 12/14/1997
Size: 6.25" wide x 9.25" long x 0.25" tall
|Smooth manifolds and smooth maps|
|Tangent spaces and derivatives|
|The fundamental theorem of algebra|
|The theorem of Sard and Brown|
|Manifolds with boundary|
|The Brouwer fixed point theorem|
|Proof of Sard's theorem|
|The degree modulo 2 of a mapping|
|Smooth homotopy and smooth isotopy|
|The Brouwer degree|
|Vector fields and the Euler number|
|Framed cobordism the Pontryagin construction|
|The Hopf theorem|
|App Classifying 1-manifolds|