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The geometry of spacetime = a mathem...

Oloff, Rainer.

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The geometry of spacetime = a mathematical introduction to relativity theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The geometry of spacetime/ by Rainer Oloff.
其他題名:	a mathematical introduction to relativity theory /
作者:	Oloff, Rainer.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xix, 274 p. :ill., digital ;24 cm.
內容註:	Differentiable 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.
Contained By:	Springer Nature eBook
標題:	Relativity (Physics) - Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-16139-1
ISBN:	9783031161391

The geometry of spacetime = a mathematical introduction to relativity theory /
Oloff, Rainer.

The geometry of spacetimea mathematical introduction to relativity theory /[electronic resource] :by Rainer Oloff. - Cham :Springer International Publishing :2023. - xix, 274 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4521. - Graduate texts in physics..

Differentiable 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.

This 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.

ISBN: 9783031161391

Standard No.: 10.1007/978-3-031-16139-1doiSubjects--Topical Terms:

2108932
Relativity (Physics)
--Mathematics.

LC Class. No.: QC173.6 / .O4613 2023

Dewey Class. No.: 530.110151

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