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Differential topology

Mukherjee, Amiya.

Differential topology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential topologyby Amiya Mukherjee.
Author:	Mukherjee, Amiya.
Published:	Cham :Springer International Publishing :2015.
Description:	xiii, 349 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential topology.
Online resource:	http://dx.doi.org/10.1007/978-3-319-19045-7
ISBN:	9783319190457 (electronic bk.)

Differential topology
Mukherjee, Amiya.

Differential topology[electronic resource] /by Amiya Mukherjee. - 2nd ed. - Cham :Springer International Publishing :2015. - xiii, 349 p. :ill., digital ;24 cm.

Preface -- 1.Basic Concepts of Manifolds -- 2.Approximation Theorems and Whitney s Embedding -- 3.Linear Structures on Manifolds -- 4.Riemannian Manifolds -- 5.Vector Bundles on Manifolds -- 6.Transversality -- 7.Tubular Neighbourhoods -- 8.Spaces of Smooth Maps -- 9.Morse Theory -- 10.Theory of Handle Presentations -- Bibliography -- Index. .

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem, and the generalised Poincare conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India. The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis, and algebraic topology is recommended.

ISBN: 9783319190457 (electronic bk.)

Standard No.: 10.1007/978-3-319-19045-7doiSubjects--Topical Terms:

212318
Differential topology.

LC Class. No.: QA613.6

Dewey Class. No.: 514.72

Differential topology
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245 1 0 $a Differential topology $h [electronic resource] / $c by Amiya Mukherjee.
250 $a 2nd ed.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Birkhauser,
300 $a xiii, 349 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- 1.Basic Concepts of Manifolds -- 2.Approximation Theorems and Whitney s Embedding -- 3.Linear Structures on Manifolds -- 4.Riemannian Manifolds -- 5.Vector Bundles on Manifolds -- 6.Transversality -- 7.Tubular Neighbourhoods -- 8.Spaces of Smooth Maps -- 9.Morse Theory -- 10.Theory of Handle Presentations -- Bibliography -- Index. .
520 $a This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem, and the generalised Poincare conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India. The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis, and algebraic topology is recommended.
650 0 $a Differential topology. $3 212318
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 253172
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19045-7
950 $a Mathematics and Statistics (Springer-11649)