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Today, graduate and postgraduate courses in physics and applied mathematics all over the world include the study of general relativity, cosmology and alternative theories of gravitation as a compulsory subject. As such, this book focuses on topics like special and general theories of relativity, tensor calculus, Einstein's field equations and cosmological models of the universe. It also provides a lucid introduction to alternative and new theories of gravitation, and discusses some cosmological models of these theories. It also includes several examples and exercises, making it an asset for every student and researcher of this great subject.