Articoli correlati a A Visual Approach to Introductory Functional Analysis
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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull'autore
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Visual Approach to Introductory Functional Analysis
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Condizione: New. 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 h. Codice articolo 3178623130
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A Visual Approach to Introductory Functional Analysis
Editore:
Taylor & Francis Ltd Okt 2026, 2026
ISBN 10: 1041358598
ISBN 13: 9781041358596
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: Neu. Neuware - 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. Codice articolo 9781041358596
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