Tensor Analysis on Manifolds (Dover Books on Mathematics)
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Tensor Analysis on Manifolds (Dover Books on Mathematics)
Book Details
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Author: Richard L. Bishop
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Publisher: Dover
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Language: English
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Edition: Later Printing
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ISBN: 9780486640396
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Pages: 288
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Cover: Paperback
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Package Dimensions: 8.4 x 5.5 x 0.9 inches
About The Book
Tensor Analysis on Manifolds by Richard L. Bishop is a comprehensive and accessible introduction to tensor analysis, a key mathematical tool in the general theory of relativity and other advanced fields of physics. With 288 pages, this Dover paperback edition strikes the perfect balance between formal and abstract approaches, making it ideal for students who have a background in advanced calculus and elementary differential equations.
The book begins with an introductory chapter on notation, set theory, and topology before delving into tensor analysis from both function-theoretical and algebraic perspectives. The subsequent chapters cover vector analysis on manifolds, integration theory, and special structures, demonstrating how tensor analysis can be applied to clarify concepts in classical mechanics.
Acclaimed by the American Mathematical Monthly as a "first-rate book," this text includes numerous examples and problems, offering readers a strong foundation in tensor analysis and its applications. Ideal for students and professionals looking to deepen their mathematical understanding, this book encourages a broader perspective on tensor analysis and its usefulness in various scientific and mathematical domains.
