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Solved Problems and Systematic Introduction to Special Relativity: Undergraduate Lecture Notes in Physics

Autor Michael Tsamparlis
en Limba Engleză Paperback – 2 mai 2024
In most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking. This results in students often finding it difficult to understand properly the new approach/new ideas, and consequently to solve relativistic problems. Furthermore, a number of books treat the theory using advanced mathematics which is not necessary for the first approach to the theory. This book is intended to serve two roles: a. To treat a student in a systematic constructive way to the basic structure of the theory and b. To provide a large number of solved in-detail problems in the kinematics and dynamics of Special Relativity. Concerning the first aim the book introduces the basics of four-dimensional mathematics, i.e., Lorentz metric, relativistic tensors, and prepares, through working examples, the transition to General Relativity, which requires, besides the relativistic concepts, the use of Differential Geometry and tensor analysis. The presentation is concise and does not replace a book on Special Relativity. Concerning the second intention the large number of problems provides the necessary material which can be used in order to familiarize the student with the relativistic “world”.  These problems can be used in the class by the teachers either as working examples or as problem sheets. It will be our pleasure if the book will be useful to both students and teachers.
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Specificații

ISBN-13: 9783031317057
ISBN-10: 303131705X
Pagini: 485
Ilustrații: XX, 485 p. 65 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.7 kg
Ediția:2024
Editura: Springer International Publishing
Colecția Springer
Seria Undergraduate Lecture Notes in Physics

Locul publicării:Cham, Switzerland

Cuprins

Part 1  - The Statement of the Problems Together With A Short Review of the Relevant Theory.- Chapter 1 - General material.- Chapter 2 - Linear spaces - coordinates.- Chapter 3 - Inner product.- Chapter 4 - Tensors.- Chapter 5 - Euclidian Inner product and Euclidian tensors.- Chapter 6 - Lorentz Inner product and Lorentz tensors.- Chapter 7 - 4-Vectors.- Chapter 8 - Systems of particle 4-vectors.- Chapter 9 - Making Physics.- Part 2  - Solutions.- Chapter 10 - Relativistic reactions.- Chapter 11 - Electromagnetic field:Problems.

Notă biografică

Prof. Tsamparlis received his PhD from Imperial College in London and has more than 35 years of teaching experience at the universities of Witwatersrand (South Africa) and Athens (Greece). His research is focused on General Relativity, Gravitation, Cosmology and Symmetries of Differential Equations.

Textul de pe ultima copertă

In most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking. This results in students often finding it difficult to understand properly the new approach/new ideas, and consequently to solve relativistic problems. Furthermore, a number of books treat the theory using advanced mathematics which is not necessary for the first approach to the theory. This book is intended to serve two roles: a. To treat a student in a systematic constructive way to the basic structure of the theory and b. To provide a large number of solved in-detail problems in the kinematics and dynamics of Special Relativity. Concerning the first aim the book introduces the basics of four-dimensional mathematics, i.e., Lorentz metric, relativistic tensors, and prepares, through working examples, the transition to General Relativity, which requires, besides the relativistic concepts, the use of Differential Geometry and tensor analysis. The presentation is concise and does not replace a book on Special Relativity. Concerning the second intention the large number of problems provides the necessary material which can be used in order to familiarize the student with the relativistic “world”.  These problems can be used in the class by the teachers either as working examples or as problem sheets. It will be our pleasure if the book will be useful to both students and teachers.

Caracteristici

Offers a systematic presentation and discussion of relativistic concepts through working examples Provides the relativistic mathematics of four dimensional spacetime and explains the energy momentum tensor Presents the correspondence of relativistic quantities with geometric quantities