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020 _a9781441928207 (pbk.)
_c€ 59.99
040 _cIISER-BPR
041 _aENG
082 _a516.36
_bWAR
_223rd
100 _aWarner, Frank W.
_9258
222 _aMathematics
245 _aFoundations of differentiable manifolds and lie groups
250 _a1st ed.
260 _aBerlin:
_bSpringer-Verlag,
_cc1983.
300 _aix, 272p. :
_bill. ;
_c24cm
440 _aGraduate Texts in Mathematics
_vVol. 94
_9259
504 _aIncludes illustrations, bibliographic references, supplement to the bibliography, index of notation and subject index.
520 _aFoundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
650 _aMathematics
_9260
650 _aGeometry
_92974
650 _aAnalytic Geometries
_9261
650 _aDifferential and Integral Geometry
_9262
650 _aManifolds
_9263
650 _a Lie Groups
_9264
942 _2ddc
_cBK
_03
999 _c4195
_d4195