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OverviewThis 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. Full Product DetailsAuthor: Amiya MukherjeePublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2nd ed. 2015 Dimensions: Width: 15.50cm , Height: 2.10cm , Length: 23.50cm Weight: 6.682kg ISBN: 9783319190440ISBN 10: 331919044 Pages: 349 Publication Date: 26 August 2015 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Language: English Table of ContentsPreface.- 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.ReviewsThe book presented by the author consists of ten chapters. ... it may serve as the first source of information on Differential Topology for all mathematics major students. (Andrew Bucki, zbMATH 1332.57001, 2016) “The book presented by the author consists of ten chapters. … it may serve as the first source of information on Differential Topology for all mathematics major students.” (Andrew Bucki, zbMATH 1332.57001, 2016) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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