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Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature.
Requiring only basic knowledge of high school mathematics and physics, this volume offers a concise introduction to the general theory of relativity. The text presents the fundamentals of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, and more.
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