This book provides an introduction to Riemannian geometry. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas... » 

This book provides an introduction to Riemannian geometry. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader.s appreciation of the subject. This second edition has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. «