The book expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the special theory of relativity, relativistic mass, relativistic mechanics and relativistic electrodynamics. As well as covariant formulation of relativistic mechanics and electrodynamics, the book discusses the relativistic effect on photons. Using a mathematical approach, the text offers graduate students a clear, concise view of the special theory of relativity. Organized into 14 chapters and two appendices, the content is presented in a logical order, and every topic has been dealt with in a simple and lucid manner. To aid understanding of the subject, the book provides numerous relevant worked examples in every chapter. The book’s mathematical approach helps students in their independent study and motivates them to research the topic further.
Author(s): Farook Rahaman (auth.)
Edition: 1
Publisher: Springer India
Year: 2014
Language: English
Pages: 249
Tags: Mathematical Physics; Mathematical Applications in the Physical Sciences; Projective Geometry; Mechanics
Front Matter....Pages i-xv
Pre-relativity and Galilean Transformation....Pages 1-10
Michelson–Morley Experiment and Velocity of Light....Pages 11-19
Lorentz Transformations....Pages 21-33
Mathematical Properties of Lorentz Transformations....Pages 35-51
More Mathematical Properties of Lorentz Transformations....Pages 53-62
Geometric Interpretation of Spacetime....Pages 63-71
Relativistic Velocity and Acceleration....Pages 73-88
Four Dimensional World....Pages 89-104
Mass in Relativity....Pages 105-115
Relativistic Dynamics....Pages 117-145
Photon in Relativity....Pages 147-159
Relativistic Lagrangian and Hamiltonian....Pages 161-179
Electrodynamics in Relativity....Pages 181-226
Relativistic Mechanics of Continua....Pages 227-231
Back Matter....Pages 233-249
