Overview
Starting with an introduction to the various curvatures associated to a hypersurface embedded in Euclidean space, the text advances to a brief review of the differential and integral calculus on manifolds. A discussion of the fundamental notions of linear connections and their curvatures follows, along with considerations of Levi-Civita's theorem, bi-invariant metrics on a Lie group, Cartan calculations, Gauss's lemma, and variational formulas. Additional topics include the Hopf-Rinow, Myer's, and Frobenius theorems; special and general relativity; connections on principal and associated bundles; the star operator; superconnections; semi-Riemannian submersions; and Petrov types. Prerequisites include linear algebra and advanced calculus, preferably in the language of differential forms.
This book title, Curvature in Mathematics and Physics, ISBN: 9780486478555, by Shlomo Sternberg, published by Dover Publications (September 19, 2012) is available in paperback. Our minimum order quantity is 25 copies. All standard bulk book orders ship FREE in the continental USA and delivered in 4-10 business days.
Unlike Amazon and other retailers who may also offer Curvature in Mathematics and Physics books on their website, we specialize in large quantities and provide personal service, from trusted, experienced, friendly people in Portland, Oregon. We offer a Price Match Guarantee, and QuickQuote form, to make purchasing quick and easy.
Prefer to work with a human being when you order Curvature in Mathematics and Physics books in bulk? Our Book Specialists are standing by Monday-Friday 8-5 PST, ready to help!