Riemannian Geometry: A Beginners Guide, Second Edition [Paperback]

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.

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 Einsteins original paper on relativity theory. The authors 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.

Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.

& an intuitive approach to Riemannian geometry based on surfaces in n-dimensional Euclidean spaces. & This revision of the second edition includes many interesting exercises and solutions to selected exercises. & The book is warmly recommended to specialists in mathematics, physicists and especially to PhD students interested in this topic.
Jan Kurek, Zentralblatt MATH 1234

Preface 1 Introduction 2 Curves in Rn 3 Surfaces in R3 4 Surfaces in Rn 5 m-Dimensional Surfaces in Rn 6 Intrinsic Riemannian Geometry 7 General Relativity 8 The Gauss-Bonnet Theorem 9 Geodesics and Global Geometry 10 General Norms; Selected Formulas; Solutions to Selected Exercises; Bibliography; Symbol Indl#�