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Modern Analysis: From Linear Functional to Nonlinear Functional Analysis

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£73.32 £61.11 £63.77 £66.44 £69.10 £71.77 £74.43 26 July 2026 09 August 2026 24 August 2026 08 September 2026 23 September 2026
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15 days · current 12 days 33 days 0 8 17 25 33 £62 £72 £73 Days at Price

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Most common price: £73 (33 days, 55.0%)

Price range: £62 - £73

Price levels: 3 different prices over 60 days

Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
24 February 2026
Listed Since
20 February 2026

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