ABSTRACT

This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.

chapter 1|4 pages

Introduction

chapter 2|6 pages

Curves in Rn

chapter 3|18 pages

Surfaces in R3

chapter 4|6 pages

Surfaces in Rn

chapter 5|14 pages

m-Dimensional Surfaces in Rn

chapter 6|20 pages

Intrinsic Riemannian Geometry

chapter 7|16 pages

General Relativity

chapter 8|14 pages

The Gauss-Bonnet Theorem

chapter 9|16 pages

Geodesics and Global Geometry

chapter 10|16 pages

General Norms