Topology from the Differentiable Viewpoint

Name: Topology from the Differentiable Viewpoint
Price: 34.06 USD
Availability: InStock
ISBN: 9780691048338

ISBN-10: 0691048339

ISBN-13: 9780691048338

Edition: 1998

Authors: John Milnor

List price: $49.00

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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.

Book details

List price: $49.00
Copyright year: 1998
Publisher: Princeton University Press
Publication date: 12/14/1997
Binding: Paperback
Pages: 80
Size: 5.98" wide x 9.02" long x 0.20" tall
Weight: 0.506
Language: English



Preface



Smooth manifolds and smooth maps


Tangent spaces and derivatives


Regular values


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



Oriented manifolds


The Brouwer degree



Vector fields and the Euler number



Framed cobordism the Pontryagin construction


The Hopf theorem



Exercises


App Classifying 1-manifolds


Bibliography


Index