Differential Topology
Mukherjee, Amiya.
Differential Topology by Amiya Mukherjee. - New Delhi: Hindustant Book Agency, 2015 - xiii, 349p.
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. .
License restrictions may limit access.
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 Poincaré 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.
9789380250786 (Pbk) Rs. 550.00 = Mathematical Collection Gritish Collection = Differential Topology
10.1007/978-3-319-19045-7 doi
Mathematics.
Global analysis.
Cell aggregation--Mathematics.
Mathematics.
Global Analysis and Analysis on Manifolds.
Manifolds and Cell Complexes (incl. Diff.Topology).
Mathematics
QA614-614.97
514.74 M896D
Differential Topology by Amiya Mukherjee. - New Delhi: Hindustant Book Agency, 2015 - xiii, 349p.
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. .
License restrictions may limit access.
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 Poincaré 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.
9789380250786 (Pbk) Rs. 550.00 = Mathematical Collection Gritish Collection = Differential Topology
10.1007/978-3-319-19045-7 doi
Mathematics.
Global analysis.
Cell aggregation--Mathematics.
Mathematics.
Global Analysis and Analysis on Manifolds.
Manifolds and Cell Complexes (incl. Diff.Topology).
Mathematics
QA614-614.97
514.74 M896D