000 02946cam a22004935i 4500
001 11620590
003 OSt
005 20151105155253.0
006 m d
007 cr n
008 150630s2015 gw | s |||| 0|eng d
020 _a9789380250786 (Pbk)
_cRs. 550.00
024 7 _a10.1007/978-3-319-19045-7
_2doi
035 _a(WaSeSS)ssj0001558495
040 _dWaSeSS
_cIISERB
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a514.74 M896D
_223
100 1 _aMukherjee, Amiya.
_97037
210 1 0 _aDifferential Topology
222 _aMathematical Collection
222 _aGritish Collection
245 1 0 _aDifferential Topology
_cby Amiya Mukherjee.
260 _aNew Delhi:
_bHindustant Book Agency,
_c2015
300 _axiii, 349p.
505 0 _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. .
506 _aLicense restrictions may limit access.
520 _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.
650 0 _aMathematics.
_97038
650 0 _aGlobal analysis.
_97039
650 0 _aCell aggregation
_xMathematics.
_97040
650 1 4 _aMathematics.
_97038
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
_97041
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_97042
650 2 4 _aMathematics
_97038
710 2 _aSpringerLink (Online service)
_97043
773 0 _tSpringer eBooks
773 0 _tSpringerLINK ebooks - Mathematics and Statistics (2015)
776 0 8 _iPrinted edition:
_z9783319190440
856 4 0 _uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11620590
_zFull text available from SpringerLINK ebooks - Mathematics and Statistics (2015)
910 _aVendor-generated brief record
942 _2ddc
_cBK
999 _c7082
_d7082