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

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

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

Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, a