Synopsis
Modern analysis, a core mathematical branch, evolves from classical analysis with profound conceptual and methodological innovations. While classical analysis focuses on local function properties and changes, modern analysis emphasizes holistic perspectives on spaces, structures, and functionals, bridging pure/applied mathematics and natural sciences. This textbook guides aspiring mathematicians to build a solid foundation, grasp disciplinary landscapes, and explore independently. It integrates linear and nonlinear functional analysis—often taught separately—to reveal their intrinsic logical continuity. The content progresses from elementary to profound, covering metric/normed linear/inner product spaces, bounded linear operators, convex analysis, abstract analysis, and nonlinear functional analysis. Structurally, it follows cognitive progression from concrete to abstract and linear to nonlinear. Three key features define the book: rigorous proofs with clear motivation and logical development; organic connection between linear and nonlinear theories; and integration of theory with applications through examples. Since the last century, mathematics has expanded nonlinearly, globally, and stochastically, with functional analysis permeating PDEs, differential geometry, optimization, control theory, and mathematical economics. This book provides a unified framework to navigate these developments, emphasizing both theoretical depth and practical relevance.
"synopsis" may belong to another edition of this title.
Search results for Modern Analysis: From Linear Functional to Nonlinear...
Stock Image
Modern Analysis: From Linear Functional to Nonlinear Functional Analysis
Seller: California Books, Miami, FL, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # I-9789999337823
Stock Image
Modern Analysis: From Linear Functional to Nonlinear Functional Analysis
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 382 pages. 6.00x0.87x9.00 inches. In Stock. Seller Inventory # x-9999337821
Buy New
£ 63.17
£ 12.50 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 2 available
Stock Image
Modern Analysis
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9789999337823
Buy New
£ 72.73
£ 5.02 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Modern Analysis
Print on DemandSeller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9789999337823
Stock Image
Modern Analysis: From Linear Functional to Nonlinear Functional Analysis
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 26406540257
Stock Image
Modern Analysis: From Linear Functional to Nonlinear Functional Analysis
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 407695422
Buy New
£ 97.51
£ 6.50 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 4 available
Stock Image
Modern Analysis: From Linear Functional to Nonlinear Functional Analysis
Seller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 18406540267
Seller Image
Modern Analysis | From Linear Functional to Nonlinear Functional Analysis
Print on DemandSeller: preigu, Osnabrück, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Modern Analysis | From Linear Functional to Nonlinear Functional Analysis | Zhao Bin | Taschenbuch | Englisch | 2026 | Eliva Press | EAN 9789999337823 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 135116607
Seller Image
Modern Analysis : From Linear Functional to Nonlinear Functional Analysis
Print on DemandSeller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Modern analysis, a core mathematical branch, evolves from classical analysis with profound conceptual and methodological innovations. While classical analysis focuses on local function properties and changes, modern analysis emphasizes holistic perspectives on spaces, structures, and functionals, bridging pure/applied mathematics and natural sciences.This textbook guides aspiring mathematicians to build a solid foundation, grasp disciplinary landscapes, and explore independently. It integrates linear and nonlinear functional analysis-often taught separately-to reveal their intrinsic logical continuity. The content progresses from elementary to profound, covering metric/normed linear/inner product spaces, bounded linear operators, convex analysis, abstract analysis, and nonlinear functional analysis. Structurally, it follows cognitive progression from concrete to abstract and linear to nonlinear.Three key features define the book: rigorous proofs with clear motivation and logical development; organic connection between linear and nonlinear theories; and integration of theory with applications through examples. Since the last century, mathematics has expanded nonlinearly, globally, and stochastically, with functional analysis permeating PDEs, differential geometry, optimization, control theory, and mathematical economics. This book provides a unified framework to navigate these developments, emphasizing both theoretical depth and practical relevance. Seller Inventory # 9789999337823