Differential Topology 2015
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- Engels
- Hardcover
- 9783319190440
- 26 augustus 2015
- 349 pagina's
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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.
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.
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.
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- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 26 augustus 2015
- Aantal pagina's
- 349
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Amiya Mukherjee
- Tweede Auteur
- Mukherjee Amiya
- Hoofduitgeverij
- Birkhauser Verlag Ag
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- Originele titel
- Topics in Differential Topology
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- 2
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- 155 mm
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- 234 mm
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- 235 mm
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- 6682 g
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- EAN
- 9783319190440
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