The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a sy

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first pa

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significanc

The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial