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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: 1.10cm , Length: 23.50cm
Weight:   3.226kg
ISBN:  

9783642439063

ISBN 10:   3642439063
Pages:   194
Publication Date:   08 February 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of 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.- Some Mathematics: Derivation of a function, vector, and matrix with respect  to time.- Motion in a Gravity Field.- Geodesic Path.- Exampel: Rotating System.- General Transformations of Coordinates.- Some Differential Geometry.- Parallel Displacement.- Riemannian Curvature Matrix.- Properties of the Riemannian Curvature Matrix.- The Ricci Matrix and its Properties.- General Theory of Gravitation.- Summary.- Hilbert Functional.- Gravitation of a Spherical Body.- Schwarzschild Solution.- The Influence of a Body upon its Vicinity.- The Interior Schwarzschild Solution.- Black Holes.- Rotating Masses.

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-Jurgen Schmidt, zbMATH, Vol. 1272, 2013)

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)

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-Jurgen Schmidt, zbMATH, Vol. 1272, 2013)

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-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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