Articles liés à A Visual Approach to Introductory Functional Analysis
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l'auteur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Visual Approach to Introductory Functional Analysis
Vendeur : moluna, Greven, Allemagne
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Etat : 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. N° de réf. du vendeur 3178623130
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EUR 209,08
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A Visual Approach to Introductory Functional Analysis
Edité par
Taylor & Francis Ltd Okt 2026, 2026
ISBN 10 : 1041358598
ISBN 13 : 9781041358596
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : 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. N° de réf. du vendeur 9781041358596
Acheter neuf
EUR 266,51
Expédition à EUR 30,50
Expédition depuis Allemagne vers Etats-Unis
Expédition depuis Allemagne vers Etats-Unis
Quantité disponible : 2 disponible(s)