{"product_id":"a-visual-approach-to-introductory-functional-analysis-9781041358596","title":"A Visual Approach to Introductory Functional Analysis","description":"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.\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication date:\u003c\/strong\u003e 18 September 2026\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePage count:\u003c\/strong\u003e 210\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e Height 234 mm; Width 156 mm\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Taylor \u0026amp; Francis Ltd\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Hardback\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9781041358596\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Paul Dayao","offers":[{"title":"Hardback","offer_id":50481231134970,"sku":"9781041358596","price":162.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/9781041358596.jpg?v=1790034054","url":"https:\/\/shulphink.com\/products\/a-visual-approach-to-introductory-functional-analysis-9781041358596","provider":"Shulph Ink","version":"1.0","type":"link"}