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Callahan J.J. The Geometry of Spacetime. An Introduction to Special and General Relativity

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Callahan J.J. The Geometry of Spacetime. An Introduction to Special and General Relativity
Springer, 2000, 480 p. This book is an introduction to Einstein's theories of special and general relativity. 1b read it, you need only a first course in linear algebra and multivariable calculus and a familiarity with the physical applications of calculus. Because the general theory is more advanced than the special, most books limit themselves to one or the other. However, I have tried to encompass both by using the geometry of spacetime as the unifying theme. Of course, we still have large mathematical bridges to cross. Special relativity is just linear algebra, but general relativity is differential geometry-specifically, the curvature of four-dimensional spacetime.
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