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The Geometry of Spacetime
A Mathematical Introduction to Relativity Theory
Buch von Rainer Oloff
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Rainer 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.

Zusammenfassung

Suitable for students of both physics and mathematics

Combines mathematical principles with physical phenomena

Offers a systematic presentation of the mathematics of general relativity

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2023
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 296
Reihe: Graduate Texts in Physics
Inhalt: xix
274 S.
49 s/w Illustr.
1 farbige Illustr.
274 p. 50 illus.
1 illus. in color.
ISBN-13: 9783031161384
ISBN-10: 3031161386
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Oloff, Rainer
Auflage: 2023
Hersteller: Springer International Publishing
Graduate Texts in Physics
Maße: 241 x 160 x 22 mm
Von/Mit: Rainer Oloff
Erscheinungsdatum: 22.04.2023
Gewicht: 0,612 kg
preigu-id: 122703943
Über den Autor

Rainer 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.

Zusammenfassung

Suitable for students of both physics and mathematics

Combines mathematical principles with physical phenomena

Offers a systematic presentation of the mathematics of general relativity

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2023
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 296
Reihe: Graduate Texts in Physics
Inhalt: xix
274 S.
49 s/w Illustr.
1 farbige Illustr.
274 p. 50 illus.
1 illus. in color.
ISBN-13: 9783031161384
ISBN-10: 3031161386
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Oloff, Rainer
Auflage: 2023
Hersteller: Springer International Publishing
Graduate Texts in Physics
Maße: 241 x 160 x 22 mm
Von/Mit: Rainer Oloff
Erscheinungsdatum: 22.04.2023
Gewicht: 0,612 kg
preigu-id: 122703943
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