This volume covers local as well as global differential geometry of curves and surfaces.

This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are min

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The pr

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about lin

Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original