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.
By:
Rainer Oloff Imprint: Springer International Publishing AG Country of Publication: Switzerland Edition: 1st ed. 2023 Dimensions:
Height: 235mm,
Width: 155mm,
Weight: 612g ISBN:9783031161384 ISBN 10: 3031161386 Series:Graduate Texts in Physics Pages: 274 Publication Date:22 April 2023 Audience:
College/higher education
,
A / AS level
Format:Hardback Publisher's Status: Active
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.