{"product_id":"curvature-in-mathematics-and-physics-paperback","title":"Curvature in Mathematics and Physics - Paperback","description":"\u003cp\u003eby \u003cb\u003eShlomo Sternberg\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. \u003cbr\u003eStarting 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.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 416\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9.2 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 19, 2012\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47379111477426,"sku":"9780486478555","price":30.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/683e3822ef4cbcce1c65d1425c354173.webp?v=1777754512","url":"https:\/\/box.dadyminds.org\/products\/curvature-in-mathematics-and-physics-paperback","provider":"DADYMINDS BOX","version":"1.0","type":"link"}