Books by Richard L. Bishop

Presents the study of Riemannian manifolds through specializing the theory of connections on principle bundles and affine connections. This work emphasizes the geometry of Riemannian manifolds, so that the theorems of Hopf-Rinow, Hadamard-Cartan, and Cartan's local isometry theorem are included, but no elliptic operator theory.

Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.