Introduction to Differential Geometry and Riemannian Geometry

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig''s earlier book Differential Geometry, it is presented in a simple and understandable manner with many examples illustrating the ideas, methods, and results.

Among the topics covered are vector and tensor algebra, the...