Title
Functional Analysis: Theory and Applications (Dover Books on Mathematics),Used
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The book contains an enormous amount of information mathematical, bibliographical and historical interwoven with some outstanding heuristic discussions.' Mathematical Reviews.In this massive graduatelevel study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter.Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, indepth discussions of vector spaces and topological vector spaces, the HahnBanach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixedpoint theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the KreinMilman theorem and its applications to commutative harmonic analysis.Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32page bibliography supplies a rich source of references to the basic literature.
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- Q: What is the page count of this book? A: This book contains eight hundred pages. It offers extensive coverage of functional analysis, making it suitable for graduate-level study.
- Q: What are the dimensions of this book? A: The book measures six inches in length, one point seven five inches in width, and nine point two five inches in height. These dimensions make it a standard paperback size.
- Q: What is the binding type of this book? A: This book is available in paperback binding. This makes it more flexible and easier to handle compared to hardcover editions.
- Q: Who is the author of this book? A: The author of this book is R.E. Edwards. He is an Emeritus Professor at the Australian National University in Canberra.
- Q: What topics are covered in this book? A: This book covers a wide array of topics in functional analysis, including vector spaces, duality theory, and fixed-point theorems. It is designed for readers with a foundational understanding of advanced mathematics.
- Q: How can I use this book for study? A: You can use this book as a comprehensive guide for graduate-level functional analysis studies. It includes numerous examples and exercises to enhance your understanding.
- Q: Is this book suitable for beginners in mathematics? A: No, this book is not recommended for beginners. It is intended for readers with a basic knowledge of set theory, general topology, and vector spaces.
- Q: What level of mathematics is required to understand this book? A: A basic knowledge of set theory, general topology, and vector spaces is required. The book is designed for graduate-level readers.
- Q: Are there exercises included in this book? A: Yes, the book includes excellent exercises at the end of each chapter. These exercises are designed to reinforce the concepts discussed.
- Q: How should I store this book to keep it in good condition? A: Store this book upright in a cool, dry place away from direct sunlight. This will help maintain its condition and prevent any damage to the pages.
- Q: Is this book safe for all readers? A: Yes, this book is suitable for adult readers and advanced students of mathematics. It contains no inappropriate content.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, you should contact the retailer for a return or exchange. Ensure you have your order details ready for a smoother process.
- Q: Is there a warranty for this book? A: Typically, books do not come with a warranty. However, you can check with the retailer's return policy for any specific guarantees.
- Q: Can I return this book after purchasing? A: Yes, you can return this book, but the return policy may vary by retailer. Check their specific guidelines for return conditions.
- Q: What if I need help with the content of the book? A: If you need help with the content, consider reaching out to academic resources or forums that specialize in mathematics. Many online communities can provide assistance.
- Q: Does this book provide bibliographical references? A: Yes, it includes a comprehensive thirty-two-page bibliography. This serves as a rich source of references to foundational literature in functional analysis.