Tensor Calculus, Relativity and Cosmology Textbook - Dover Physics Books | Study Guide for Advanced Mathematics & Astrophysics Students
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Product Description
This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory.Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.
Customer Reviews
As a writer and philosopher I have tried to get a genuine scientific understanding of topics like quantum physics and relativity. Treatments tend to be either over-simplified (no math) or presume you are very competent at graduate-level math. My past efforts have raised my math competence to the point where this book, for me, is at a near-perfect level. I found the explanation and use of tensors tied to physics in a way that helped me with both subjects.I was also pleased with the treatment of general relativity. Many books give good accounts of special relativity, but this is the best presentation of general relativity that includes the mathematics involved.I would recommend this to anyone who is willing to do the math. But without at least a basic understanding of vectors and partial derivatives, you will not be able to follow the text.
