000 | 01855 a2200253 4500 | ||
---|---|---|---|
001 | 136923 | ||
003 | ISI Library, Kolkata | ||
005 | 20160603123242.0 | ||
008 | 160603b xxu||||| |||| 00| 0 eng d | ||
020 | _a9783319207346 | ||
040 |
_aISI Library _beng |
||
082 | 0 | 4 |
_a515.36 _223 _bL166 |
100 | 1 |
_aLafontaine, Jacques, _eauthor |
|
245 | 1 | 0 |
_aIntroduction to differential manifolds / _cJacques Lafontaine. |
260 |
_aCham : _bSpringer, _c2015. |
||
300 |
_axix, 395 p. ; _billustrations. |
||
490 | 0 | _aGrenoble sciences | |
504 | _aIncludes bibliographical references and index, | ||
505 | 0 | _a1. Differential Calculus -- 2. Manifolds: The Basics -- 3. From Local to Global -- 4. Lie Groups -- 5. Differential Forms -- 6. Integration and Applications -- 7. Cohomology and Degree Theory -- 8. Euler-Poincaré and Gauss-Bonnet -- Appendix -- Bibliography -- Index. | |
520 | _aThis book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory. | ||
650 | 0 | _aDifferentiable manifolds. | |
650 | 0 | _aDifferential Geometry. | |
942 |
_2ddc _cBK |
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999 |
_c420701 _d420701 |