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
999 _c420701
_d420701