Title
Tensor Analysis on Manifolds (Dover Books on Mathematics),New
Delivery time: 8-12 business days (International)
This is a firstrate book and deserves to be widely read.' American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. The authors have treated tensor analysis as a continuation of advanced calculus, striking just the right balance between the formal and abstract approaches to the subject.The material proceeds from the general to the special. An introductory chapter establishes notation and explains various topics in set theory and topology. Chapters 1 and 2 develop tensor analysis in its functiontheoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on manifolds and integration theory. In the last two chapters (5 and 6) several important special structures are studied, those in Chapter 6 illustrating how the previous material can be adapted to clarify the ideas of classical mechanics. The text as a whole offers numerous examples and problems.A student with a background of advanced calculus and elementary differential equation could readily undertake the study of this book. The more mature the reader is in terms of other mathematical knowledge and experience, the more he will learn from this presentation.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main focus of the book 'Tensor Analysis on Manifolds'? A: The book focuses on tensor analysis as a continuation of advanced calculus, aiming to broaden the understanding of the subject while balancing formal and abstract approaches.
- Q: Who is the author of 'Tensor Analysis on Manifolds'? A: The author of the book is Richard L. Bishop.
- Q: What is the publication date of 'Tensor Analysis on Manifolds'? A: The book was published on December 1, 1980.
- Q: What topics are covered in this book? A: The book covers various topics including notation, set theory, topology, function-theoretical aspects of tensor analysis, vector analysis on manifolds, and integration theory.
- Q: Is this book suitable for beginners? A: A student with a background in advanced calculus and elementary differential equations can readily undertake the study of this book, making it suitable for advanced beginners.
- Q: How many pages does 'Tensor Analysis on Manifolds' have? A: The book contains 288 pages.
- Q: What type of binding does 'Tensor Analysis on Manifolds' have? A: The book is available in paperback binding.
- Q: Are there any exercises or examples in the book? A: Yes, the text includes numerous examples and problems to aid in understanding the material.
- Q: What category does this book fall under? A: The book is categorized under Vector Analysis.
- Q: What edition of the book is available? A: The book is a later printing edition.