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

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

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

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

In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts dra