Book of Donmon Teith

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

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

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential

Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical

Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior