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"The general theory of relativity : a mathematical exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to tensor analysis, the special theory of relativity, the general theory of relativity and Einstein’s field equations, spherically symmetric solutions and experimental confirmations, static and stationary space-time domains, black holes, cosmological models, algebraic classifications and the Newman Penrose equations, and the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics."

"This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field."