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 |
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999 |
_c7082 _d7082 |