Table of Contents

Differential Manifolds and Differentiable Maps; The Derivatives of Differentiable Maps; Fibre Bundles; Differential Forms and Integration; The Exterior Derivative; de Rham Cohomology; Degrees, Indices and Related Topics; Lie Groups; A Rapid Course in Differential Analysis; Solutions to the Exercises; Guide to the Literature.

Reviews

"This book is an excellent introductory text into the theory of differential manifolds with a carefully thought out and tested structure and a sufficient supply of exercises and their solutions. It does not only guide the reader gently into the depths of the theory of differential manifolds but also careful on giving advice how one can place the information in the right context. It is certainly written in the best traditions of great Cambridge mathematics." Acta Scientiarum Mathematicarum