A Visual Approach to Introductory Functional Analysis (Paperback)
Language: English
Published by Taylor & Francis Ltd, London, 2026
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 80.07
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Paperback. A Visual Approach to Introductory Functional Analysis is designed to offer a visual, geometric approach to functional analysis which bridges the gap between elementary analysis and advanced Banach Space Theory.The material is organized to build progressively from foundational topology to the core structural theorems of the discipline. Commencing with the rigorous formalization of metric spaces, topological neighborhoods, and the critical analytical property of completeness, the text subsequently transitions to normed and Banach spaces, formalizing the evaluation of linear operators and dual spaces. This structural foundation culminates in the exposition of the "pillars" of functional analysis: the Hahn-Banach Theorem, the Uniform Boundedness Principle, the Open Mapping Theorem, the Closed Graph Theorem, and the Banach-Alaoglu Theorem.This book can serve as a concise textbook for an undergraduate course on introductory functional analysis course, or as a geometrically-focussed supplement to a more advanced treatment of the subject.FeaturesCurated selections of exercises ending every chapter, designed to build topological reasoning and proof writing skillsNumerous color figures and illustrative examples to aid comprehension. A Visual Approach to Introductory Functional Analysis is designed to offer a visual, geometric approach to functional analysis which bridges the gap between elementary analysis and advanced Banach Space Theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9781041359180
- Title
- A Visual Approach to Introductory Functional Analysis (Paperback)
- Author
- Paul Dayao
- Publisher
- Taylor & Francis Ltd, London
- Publication year
- 2026
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1041359187
- ISBN 13
- 9781041359180
A Visual Approach to Introductory Functional Analysis is designed to offer a visual, geometric approach to functional analysis which bridges the gap between elementary analysis and advanced Banach Space Theory.
The material is organized to build progressively from foundational topology to the core structural theorems of the discipline. Commencing with the rigorous formalization of metric spaces, topological neighborhoods, and the critical analytical property of completeness, the text subsequently transitions to normed and Banach spaces, formalizing the evaluation of linear operators and dual spaces. This structural foundation culminates in the exposition of the "pillars" of functional analysis: the Hahn-Banach Theorem, the Uniform Boundedness Principle, the Open Mapping Theorem, the Closed Graph Theorem, and the Banach-Alaoglu Theorem.
This book can serve as a concise textbook for an undergraduate course on introductory functional analysis course, or as a geometrically-focussed supplement to a more advanced treatment of the subject.
Features
- Curated selections of exercises ending every chapter, designed to build topological reasoning and proof writing skills
- Numerous color figures and illustrative examples to aid comprehension.
"Synopsis" may belong to another edition of this title.
About the Author
Paul Dayao is a mathematician affiliated with the Department of Mathematics at Ateneo de Manila University. His research centers on Real and Functional Analyses. Beyond this, Paul is driven by a deep passion for teaching and a commitment to make high-level mathematics intuitive by grounding abstract theory in visual clarity.
"About the title" may belong to another edition of this title.
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