The Geometry of Spacetime: An Introduction to Special and General Relativity (Undergraduate Texts in Mathematics)
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Summary
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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
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This is an exhaustive math-department oriented examination of the spacetime geometry you expect to see in Relativity. Tons of equations, illustrations, side notes, an index, and exercises. It could be a great partner to a physics-oriented concepts book taught by a quantum mechanic able to take the math apart, appreciate the details, simplify, and re-assemble from functional parts.
