Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors

Author:   Günter Ludyk
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
ISBN:  

9783642357978


Pages:   194
Publication Date:   24 June 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors


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Overview

"This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the ""Black Hole"" phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices."

Full Product Details

Author:   Günter Ludyk
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.483kg
ISBN:  

9783642357978


ISBN 10:   3642357970
Pages:   194
Publication Date:   24 June 2013
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

From the Contents: Special Relativity.- The Galilei Transformation.- The Lorentz Transformation.- The Invariance of Quadratic Forms.- Velocity Addition.- Lorentz Transformation of Velocities.- Lorentz Transformation of Impulses.- Acceleration and Force.- Relativistic Electrodynamics.- Energy Momentum Matrix.- General Relativity.- General Relativity and Riemannian Geometry.

Reviews

From the reviews: 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-Jurgen Schmidt, zbMATH, Vol. 1272, 2013)


Author Information

"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."

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