This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.

1. Differentialle Manifolds in IRN 2. Curves in E2 and E3 3. Surfaces in E3

Izu Vaisman is a Professor of Mathematics at the Universiy of Haifa, Israel.