By R. W. R. Darling
This ebook introduces the instruments of recent differential geometry--exterior calculus, manifolds, vector bundles, connections--and covers either classical floor idea, the fashionable concept of connections, and curvature. additionally incorporated is a bankruptcy on purposes to theoretical physics. the writer makes use of the strong and concise calculus of differential varieties all through. by utilizing various concrete examples, the writer develops computational talents within the generic Euclidean context earlier than exposing the reader to the extra summary environment of manifolds. the single necessities are multivariate calculus and linear algebra; no wisdom of topology is thought. approximately two hundred routines make the e-book excellent for either school room use and self-study for complicated undergraduate and starting graduate scholars in arithmetic, physics, and engineering.