"Differential geometry has encountered numerous applications in physics. More and more physical concepts can be understood as a direct consequence of geometric

This book presents, in a concise and direct manner, the appropriate mathematical formalism and fundamentals of differential topology and differential geometry,

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homol

An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiab

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically wit