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.
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