Title
A First Course in Functional Analysis (Dover Books on Mathematics),Used
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This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A selfcontained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. Numerous problems appear throughout the book.
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- Q: What is the focus of 'A First Course in Functional Analysis'? A: This book serves as an introduction to functional analysis, based on the lecture notes of Prof. Martin Davis, covering key concepts such as normed linear spaces, functions on Banach spaces, and Gelfand's proof of Wiener's theorem.
- Q: Who is the author of this book? A: The author is Prof. Martin Davis, a distinguished professor of mathematics known for his contributions to the field.
- Q: What is the condition of the book? A: The book is listed as a new item, ensuring that it is in pristine condition for readers.
- Q: How many pages does this book have? A: The book contains 128 pages, providing a concise yet comprehensive overview of functional analysis.
- Q: Is this book suitable for beginners? A: Yes, the book is designed for advanced undergraduates and graduate students majoring in mathematics, making it accessible for those with a basic understanding of the subject.
- Q: What type of binding does this book have? A: The book is published in paperback binding, making it lightweight and easy to handle.
- Q: When was this book published? A: The book was published on May 22, 2013.
- Q: What topics are covered in the book? A: The book covers set theoretic preliminaries, normed linear spaces and algebras, homomorphisms, and analytic functions into Banach spaces, among other topics.
- Q: Are there exercises or problems included in the book? A: Yes, the book includes numerous problems throughout to reinforce understanding and application of the concepts presented.
- Q: What category does this book fall under? A: This book is categorized under calculus, specifically focusing on functional analysis.