Riemannian Geometry: A Beginner's Guide (Jones and Bartlett Books in Mathematics)

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. The author establishes basic material early to describe the most important geometric features of curved objects from the plebian racetrack to the grand structures of the universe. The text concludes with a discussion of global geometry and current research on energy minimizing curves. Frank Morgan ; Illustrated By James F. Bredt. Includes Bibliographical References (p. [105]-108) And Indexes.