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Einstein in Matrix Form

Exact Derivation of the Theory of Special and General Relativity without Tensors

Günter Ludyk (Autor)

Buch | Hardcover

XIV, 194 Seiten

2013 | 2013
Springer Berlin (Verlag)
978-3-642-35797-8 (ISBN)

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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.

Günter Ludyk (after receiving his PhD in 1967) 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.

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.

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)

Erscheint lt. Verlag	24.6.2013
Reihe/Serie	Graduate Texts in Physics
Zusatzinfo	XIV, 194 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	453 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Black Holes • Galilei Transformation • Lorentz transformation • Matrix Calculus • Motion in a Gravity Field • Relativistic electrodynamics • Relativitätstheorie • Riemannian Geometry • Schwarzschild solution • Theory of General Relativity • Theory of Special Relativity
ISBN-10	3-642-35797-0 / 3642357970
ISBN-13	978-3-642-35797-8 / 9783642357978
Zustand	Neuware