Semi-Riemannian Geometry With Applications to Relativity by Barrett O'Neill (Eng

Description: Semi-Riemannian Geometry With Applications to Relativity by Barrett O'Neill This book is an exposition of "semi-Riemannian geometry" (also called "pseudo-Riemannian geometry")—the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest. Author Biography Barrett ONeill is currently a Professor in the Department of Mathematics at the University of California, Los Angeles. He has written two other books in advanced mathematics. Table of Contents Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries. Calculus of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry. Causality in Lorentz Manifolds. Fundamental Groups and Covering Manifolds. Lie Groups. Newtonian Gravitation. Details ISBN0125267401 Author Barrett ONeill Short Title SEMI-RIEMANNIAN GEOMETRY W/APP Series Pure and Applied Mathematics Language English ISBN-10 0125267401 ISBN-13 9780125267403 Media Book Format Hardcover DEWEY 516.373 Series Number 103 Year 1983 Imprint Academic Press Inc Illustrations Ill. Place of Publication San Diego Country of Publication United States Subtitle With Applications to Relativity Affiliation University of California, Los Angeles, California, U.S.A. Edition 103rd DOI 10.1604/9780125267403 UK Release Date 1983-07-29 AU Release Date 1983-07-29 NZ Release Date 1983-07-29 US Release Date 1983-07-29 Pages 488 Publisher Elsevier Science Publishing Co Inc Publication Date 1983-07-29 Alternative 9780080570570 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:44661215;

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