Foundations of Differentiable Manifolds & Lie Groups gives a clear detailed & careful development of the basic facts on manifold theory & Lie Groups Coverage
Includes:: differentiable manifolds tensors & differentiable forms Lie groups & homogenous spaces & integration on manifolds The book also provides a proof of the de Rham theorem via sheaf cohomology theory & develops the local theory of elliptic operators culminating in a proof of the Hodge theorem