The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory


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Description

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.



Author: Rainer Oloff
Publisher: Springer
Published: 04/22/2023
Pages: 274
Binding Type: Hardcover
Weight: 1.30lbs
Size: 9.21h x 6.14w x 0.69d
ISBN13: 9783031161384
ISBN10: 3031161386
BISAC Categories:
- Science | Physics | Relativity
- Science | Space Science | Cosmology

About the Author

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.