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Cartesian Tensors: An Introduction (Dover Books on Mathematics),Used
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This undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view of isotropic tensors and spinor analysis within the confines of Euclidean space. The text concludes with an examination of tensors in orthogonal curvilinear coordinates. Numerous examples illustrate the general theory and indicate certain extensions and applications. 1960 edition.
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- Q: What is 'Cartesian Tensors: An Introduction' about? A: 'Cartesian Tensors: An Introduction' is an undergraduate textbook that introduces the theory of Cartesian tensors, emphasizing the definition of tensors as multilinear functions of direction and simplifying various theorems.
- Q: Who is the author of this book? A: The author of 'Cartesian Tensors: An Introduction' is G. Temple.
- Q: What can I expect to learn from this book? A: Readers can expect to learn fundamental concepts of tensor theory, including isotropic tensors, spinor analysis, and their applications in quantum theory and orthogonal curvilinear coordinates.
- Q: How many pages does the book have? A: 'Cartesian Tensors: An Introduction' contains 112 pages.
- Q: When was this edition published? A: This edition of the book was published on September 9, 2004.
- Q: What is the binding type of the book? A: The book is available in paperback binding.
- Q: Is there any prerequisite knowledge required to understand this book? A: While it is intended for undergraduates, a basic understanding of vector analysis and mathematical concepts may enhance comprehension.
- Q: Are there any examples included in the book? A: Yes, the book includes numerous examples that illustrate the general theory and demonstrate extensions and applications of Cartesian tensors.
- Q: Does the book cover practical applications of tensors? A: Yes, it discusses the structure of tensors in relation to quantum theory and provides insights into their practical applications.
- Q: Is this book suitable for self-study? A: Yes, 'Cartesian Tensors: An Introduction' is well-suited for self-study, particularly for students interested in mathematics and physics.