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Introduction to Tensor Calculus, Relativity and Cosmology (Dover Books on Physics),New
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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 volumes appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.
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- Q: What topics are covered in 'Introduction to Tensor Calculus, Relativity and Cosmology'? A: The book covers essential topics such as the special principle of relativity, Lorentz transformations, orthogonal transformations, Cartesian tensors, special relativity mechanics, electrodynamics, general tensor calculus, Riemannian space, and the general theory of relativity, including black holes and gravitational waves.
- Q: Is this book suitable for beginners? A: Yes, this book is designed as an elementary introduction, making it suitable for beginners. It focuses on the difficult aspects of tensor calculus and relativity while using relatively simple mathematics in the early chapters.
- Q: What is the format of this book? A: The book is available in paperback format, which is lightweight and easy to handle.
- Q: Who is the author of this book? A: The author of 'Introduction to Tensor Calculus, Relativity and Cosmology' is D. F. Lawden.
- Q: How many pages does the book have? A: The book contains a total of 224 pages.
- Q: What edition of the book is this? A: This is the 3rd edition of the book, published on January 27, 2003.
- Q: Does the book include exercises for practice? A: Yes, the book contains numerous exercises that help reinforce the theoretical concepts discussed in the text.
- Q: Is this book appropriate for postgraduate students? A: Yes, the book is appealing to both undergraduate and postgraduate students of applied mathematics and physics.
- Q: What are the main focuses of the book? A: The main focuses include developing confidence in tensor calculus, understanding general relativity theory, and applying these principles to cosmology.
- Q: Are there references or a bibliography included? A: Yes, the book includes a list of constants, references, and a bibliography for further reading and research.