Elementary introduction pays special attention to aspects of tensor calculus and relativity that students find most difficult. Contents include tensors in curved spaces and application to general relativity theory; black holes; gravitational waves; application of general relativity principles to cosmology. Numerous exercises. Solution guide available upon request. 1982 edition. Unabridged republication of the third edition, originally published by John Wiley & Sons, New York, 1982.
Here's a sample of other books in this Dover category
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics by Aristotle D. Michal This volume offers a working knowledge of the fundamentals of matrix and tensor calculus. Relevant to several fields, particularly aeronautical engineering, the text skillfully combines mathematical statements with practical applications. 1947 edition.
Theories of Figures of Celestial Bodies by Wenceslas S. Jardetzky Suitable for upper-level undergraduates and graduate students, this text explores exact methods used in the theory of figures of equilibrium and examines problems concerning figures of celestial bodies. 1958 edition.
Calculus: An Intuitive and Physical Approach (Second Edition) by Morris Kline Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Beyond Geometry: Classic Papers from Riemann to Einstein by Peter Pesic This is the only English-language collection of these 8 accessible essays. They trace seminal ideas about the foundations of geometry that led to Einstein's general theory of relativity.
