The Special Theory of Relativity

A Mathematical Approach

Farook Rahaman (Autor)

Buch | Softcover

249 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer, India, Private Ltd (Verlag)
978-81-322-3559-0 (ISBN)

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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.

FAROOK RAHAMAN is associate professor at the Department of Mathematics, Jadavpur University, West Bengal. With over 15 years of experience in teaching and working with various fields of application of relativity, he has supervised so far 14 PhD students. He has about 180 research papers to his credit published in several international journals. Dr. Rahaman has been selected for TWAS UNESCO Associateship, Trieste, Italy, for the period of 2011–2014.In addition, he has also been selected for Associate of IUCAA and Associate of IMSc in 2009. He has been awarded with UGC Post-Doctoral Research Award by the Government of India in 2010. He is co-author of the book Finsler Geometry of Hadrons and Lyra Geometry: Cosmological Aspects, Lambert Academic Publishing, Germany, 2012.

Chapter 1. Pre-Relativity and Galilean Transformation.- Chapter 2. Michelson-Morley Experiment and Velocity of Light.- Chapter 3. Lorentz Transformations.- Chapter 4. Mathematical Properties of Lorentz Transformations.- Chapter 5. More Mathematical Properties of Lorentz Transformations.- Chapter 6. Geometric Interpretation of Spacetime.- Chapter 7. Relativistic Velocity and Acceleration.- Chapter 8. Four Dimensional World.- Chapter 9. Mass in Relativity.- Chapter 10. Relativistic Dynamics.- Chapter 11. Photon in Relativity.- Chapter 12. Relativistic Lagrangian and Hamiltonian.- Chapter 13. Electrodynamics in Relativity.- Chapter 14. Relativistic Mechanics of continua.

Erscheinungsdatum	22.09.2016
Zusatzinfo	41 Illustrations, black and white; XV, 249 p. 41 illus.
Verlagsort	New Delhi
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Four Dimensional World • Lorentz transformations • Relativistic electrodynamics • relativistic mechanics • Spacetime diagrams • Special theory of relativity
ISBN-10	81-322-3559-2 / 8132235592
ISBN-13	978-81-322-3559-0 / 9788132235590
Zustand	Neuware