Differential Manifolds and Lie Groups: A Foundation

Author: Frank W. Warner
Publisher:
Publish Date: 2004-04-01
Features: This book provides the necessary foundation for students interested in any of the diverse areas of mathematics which require the notion of a differentiable manifold. It is designed as a beginning graduate-level textbook and presumes a good undergraduate training in algebra and analysis plus some knowledge of point set topology, covering spaces, and the fundamental group. It is also intended for use as a reference book since it includes a number of items which are difficult to ferret out of the literature, in particular, the complete and self-contained proofs of the fundamental theorems of Hodge and de Rham. This book introduces the basics of differentiable manifolds and Lie groups in English.