Differential Geometry: A Geometric Introduction

The only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach.

Starting with basic geometric ideas, Differential Geometry uses basic intuitive geometry as a starting point to make the material more accessible and the formalism more meaningful. The book presents topics through problems to provide readers with a deeper understanding. And, it introduces hyperbolic geometry in the first chapter rather than in a closing chapter as in other books. An important reference and resource book for any reader who needs to understand the foundations of differential geometry.