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OverviewThis book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra. Full Product DetailsAuthor: Rainer OloffPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2023 Weight: 0.612kg ISBN: 9783031161384ISBN 10: 3031161386 Pages: 274 Publication Date: 22 April 2023 Audience: College/higher education , Undergraduate Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsDifferentiable manifolds.- Tangent vectors.- Tensors.- Semi-Riemann manifolds.- Special relativity.- Differential forms.- Covariant derivation of vector fields.- Curvature.- Matter.- Geodesy.- Covariant differentiation of tensor fields.- Lie derivation.- Integration on manifolds.- Non-rotating black holes.- Cosmology.- Rotating black holes.- An overview of string theory.ReviewsAuthor InformationRainer Oloff received his doctorate, and later taught, at the Friedrich Schiller University of Jena, specializing in the field of analysis. He also had sojourns teaching at the Addis Ababa University and the University of Salzburg. Tab Content 6Author Website:Countries AvailableAll regions |
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