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Differential topology[electronic res...

Mukherjee, Amiya.

Differential topology[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	514.72
書名/作者:	Differential topology/ by Amiya Mukherjee.
作者:	Mukherjee, Amiya.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xiii, 349 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential topology.
標題:	Mathematics.
標題:	Global Analysis and Analysis on Manifolds.
標題:	Manifolds and Cell Complexes (incl. Diff.Topology)
ISBN:	9783319190457 (electronic bk.)
ISBN:	9783319190440 (paper)
內容註:	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. .
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19045-7

Differential topology[electronic resource] /
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:

556911
Differential topology.

LC Class. No.: QA613.6

Dewey Class. No.: 514.72

Differential topology[electronic resource] /
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100 1 $a Mukherjee, Amiya. $3 627613
245 1 0 $a Differential topology $h [electronic resource] / $c by Amiya Mukherjee.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
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 556911
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 464933
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 464954
710 2 $a SpringerLink (Online service) $3 463450
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)

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