The Mathematical Theory of Relativity(Hardcover, Arthur Stanley Eddington)
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The Mathematical Theory of Relativity" is a book that delves into the mathematical foundations of Albert Einstein's theory of relativity. Authored with the aim of providing a comprehensive and rigorous treatment, this book typically addresses both special relativity and general relativity, which collectively revolutionized our understanding of space, time, and gravity in the early 20th century.The book likely begins by introducing the fundamental concepts of special relativity, including the postulates of the constancy of the speed of light and the relativity of simultaneity. Mathematical tools such as Lorentz transformations and Minkowski spacetime diagrams may be employed to illustrate the spacetime geometry associated with relative motion and the concept of spacetime intervals.Special emphasis is often placed on the mathematical formulation of the principles of relativity, including the transformation of physical quantities between inertial frames and the relativistic effects on time dilation and length contraction. The author may also explore the relationship between mass and energy, encapsulated in the famous equation E=mc².