Riemannian Geometry: A Beginners Guide, Second Edition

An ideal self-study guide or textbook for undergraduate courses in differential geometry, the second edition of this classic text includes an extraordinary wealth of examples and exercises as well as new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory. The author's ability to extract essential elements of the theory in a lucid and concise fashion allows students to easily access the material and enables instructors to add emphasis and cover special topics.