Vectors.- Differential calculus.- Tangent vectors.- Curvilinear coordinate systems.- The metric tensor.- The Christoffel symbols.- Covariant differentiation.- Geodesics.- Curvature.- Conservation laws of classical mechanics.- Einstein's field equations.- Einstein's theory of spacetime and gravitation.- Some applications.- Relativistic universe models.
A yvind Gron, Oslo University College, Oslo, Norway, email@example.com Arne Nass, Oslo University College, Oslo, Norway (deceased)
From the reviews: "Einstein,s Theory fits in an unusual place for introductory books on the topic. ... this work reaches the mathematical, theoretical, and conceptual understanding of a graduate course, assuming just basic algebraic skills. ... this is a rare book that can take the motivated reader with an elementary algebra background to a rigorous understanding of general relativity. Summing Up: Recommended. Lower-division undergraduates and general readers." (E. Kincanon, Choice, Vol. 49 (9), May, 2012)