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.