02278nmm a2200301 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002100139245007100160250001700231260005600248300004300304505035000347653005500697653003500752653001600787653002000803653004600823710003400869041001900903989003600922856007400958082001101032520093301043EB001034780EBX0100000000000000082829600000000000000.0cr|||||||||||||||||||||150702 ||| eng a97833191904571 aMukherjee, Amiya00aDifferential TopologyhElektronische Ressourcecby Amiya Mukherjee a2nd ed. 2015 aChambSpringer International Publishingc2015, 2015 aXIII, 349 p. 25 illusbonline resource0 aPreface -- 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. aManifolds and Cell Complexes (incl. Diff.Topology) aCell aggregation / Mathematics aMathematics aGlobal analysis aGlobal Analysis and Analysis on Manifolds2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005- uhttp://dx.doi.org/10.1007/978-3-319-19045-7?nosfx=yxVerlag3Volltext0 a514.74 aThis 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