Overview
- Derives the fundamental equations of Einstein's theory of special and general relativity using matrix calculus, without the help of tensors
- Provides necessary mathematical tools in a user-friendly way, either directly in the text or in the appendices
- Appendices contain an introduction to classical dynamics as a refresher of known fundamental physics
- Rehearses vector and matrix calculus, differential geometry, and some special solutions of general relativity in the appendices
Part of the book series: Graduate Texts in Physics (GTP)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the book reviews:
“Addressing physicists, applied scientists and engineers with no previous knowledge of tensor calculus, Ludyk … presents in a well-written manner a rather easy introduction to special as well as general relativity by solely using matrix calculus and elementary differential geometry. … It is more than certain that Ludyk’s treatment will make it possible for a larger number of students to get acquainted with special and general relativity theory at an introductory, undergraduate level.” (Theophanes Grammenos, Mathematical Reviews, April, 2014)
“The main audience for this book can be … those who have experience with practical calculations by use of matrices and vectors, but who have not the time to become familiar with tensor calculus. … this book presents essentially all ingredients what one expects from a book aimed to introduce special and general relativity … .” (Hans-Jürgen Schmidt, zbMATH, Vol. 1272, 2013)Authors and Affiliations
About the author
After receiving his PhD in 1967, Günter Ludyk habilitated and has been appointed „Scientific Advisor and Professor“ (associate professor) of the Technical University of Berlin in 1970. In 1971 he has been a visiting professor at the Technical University of Graz/Austrial. Since 1972 he is a Full Professor at the Physics/Electrical Engineering Faculty of the University of Bremen. His area of research includes the theory of dynamical systems and the application of interval mathematics to generate high-precision results. He published various books on these topics both in German and English, e. g. "Time-Variant Discrete-Time-Systems” in 1981 and "Stability of Time-Variant Discrete-Time Systems” in 1985.
Bibliographic Information
Book Title: Einstein in Matrix Form
Book Subtitle: Exact Derivation of the Theory of Special and General Relativity without Tensors
Authors: Günter Ludyk
Series Title: Graduate Texts in Physics
DOI: https://doi.org/10.1007/978-3-642-35798-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-35797-8Published: 24 June 2013
Softcover ISBN: 978-3-642-43906-3Published: 08 February 2015
eBook ISBN: 978-3-642-35798-5Published: 12 June 2013
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 1
Number of Pages: XIV, 194
Topics: Classical and Quantum Gravitation, Relativity Theory, Theoretical and Applied Mechanics, Theoretical and Computational Chemistry, Classical Mechanics, Mathematical Physics