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The Resource Differential Topology, by Amiya Mukherjee, (electronic resource)
Differential Topology, by Amiya Mukherjee, (electronic resource)
Resource Information
The item Differential Topology, by Amiya Mukherjee, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Differential Topology, by Amiya Mukherjee, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 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, hcobordism 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
 Language
 eng
 Edition
 2nd ed. 2015.
 Extent
 XIII, 349 p. 25 illus.
 Contents

 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.
 Isbn
 9783319190457
 Label
 Differential Topology
 Title
 Differential Topology
 Statement of responsibility
 by Amiya Mukherjee
 Language
 eng
 Summary
 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, hcobordism 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
 http://library.link/vocab/creatorName
 Mukherjee, Amiya
 Image bit depth
 0
 LC call number
 QA614614.97
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Mathematics
 Global analysis
 Cell aggregation
 Mathematics
 Global Analysis and Analysis on Manifolds
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Label
 Differential Topology, by Amiya Mukherjee, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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.
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XIII, 349 p. 25 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319190457
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319190457
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319190457
 Label
 Differential Topology, by Amiya Mukherjee, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 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.
 Dimensions
 unknown
 Edition
 2nd ed. 2015.
 Extent
 XIII, 349 p. 25 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319190457
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319190457
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319190457
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/DifferentialTopologybyAmiyaMukherjee/v_zlg52clVk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/DifferentialTopologybyAmiyaMukherjee/v_zlg52clVk/">Differential Topology, by Amiya Mukherjee, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>