The Resource Differential Topology, by Amiya Mukherjee, (electronic resource)

Differential Topology, by Amiya Mukherjee, (electronic resource)

Label
Differential Topology
Title
Differential Topology
Statement of responsibility
by Amiya Mukherjee
Creator
Contributor
Author
Provider
Subject
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, 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
http://library.link/vocab/creatorName
Mukherjee, Amiya
Image bit depth
0
LC call number
QA614-614.97
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)
Instantiates
Publication
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
10.1007/978-3-319-19045-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-19045-7
Label
Differential Topology, by Amiya Mukherjee, (electronic resource)
Publication
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
10.1007/978-3-319-19045-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-19045-7

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