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A graduate text, at a level between Schutz and Wald. Techniques of differential geometry (such as the description of congruences and hypersurfaces) are introduced to prepare the way…

This website provides an extensive collection of over 90 proofs of the Pythagorean Theorem. Historical background on the discovery and use of the Pythagorean Theorem is also provided.

This web page is an overview of the geometrical foundations of general relativity. It gives a conceptual explanation of the topics of curvature, manifolds, and coordinates on curved…

This web page is devoted to giving an explanation of Levi-Civita's concepts of vector transport and holonomy, which are important in mathematical physics. The page is written for a…

**Gravitation**Known world-wide as "MTW". A classic, graduate level textbook on general relativity. Includes both "math-first" and "physics-first" elements. This text covers material for a graduate…

This website contains lecture notes on differential geometry and general relativity provided by a university mathematics professor. The lecture notes start with the necessary…

This website contains lecture notes on Special and General Relativity, with a mathematical approach. The first part is exclusively dedicated to Special Relativity and its…

GRTensor II is a computer algebra package for performing calculations in the general area of differential geometry. Written for the Maple application, a limited version also exists…