TY  - GEN
AU  - Warner, Frank W.
TI  - Foundations of differentiable manifolds and lie groups			
SN  - 9781441928207 (pbk.)
U1  - 516.36 23rd
PY  - 1983///
CY  - Berlin
PB  - Springer-Verlag
KW  - Mathematics
KW  - Geometry
KW  - Analytic Geometries
KW  - Differential and Integral Geometry
KW  - Manifolds
KW  -  Lie Groups
N1  - Includes illustrations, bibliographic references, supplement to the bibliography, index of notation and subject index
N2  - Foundations 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
ER  -