Differential Geometry: Curves - Surfaces - Manifolds, Second Edition
From a review of the German edition:  "The book covers all the topics which could be necessary later for learning higher level differential geometry. The material is very carefully sorted and easy-to-read." -- Mathematical Reviews ---- Mathematical ReviewsFrom a review of the first edition:  "It is extraordinarily welcome that this comprehensive textbook containing all the high points of differential geometry is now available in an English translation. Required reading for all mathematicians!" ---- translated from International Mathematical News