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

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

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