Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.
Autor: Amiya Mukherjee
ISBN-13: 9783319190440
Einband: Buch
Seiten: 349
Gewicht: 681 g
Format: 239x160x25 mm
Sprache: Englisch
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.
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.
Autor: Amiya Mukherjee
ISBN-13:: 9783319190440
ISBN: 331919044X
Verlag: Springer, Berlin, Springer International Publishing, Hindustan Book Agency, Hindustan Book Agency, Springer, Basel
Gewicht: 681g
Seiten: 349
Sprache: Englisch
Auflage 2. Aufl.
Sonstiges: Buch, 239x160x25 mm, 25 SW-Abb.