Sticker from previous owner on front free endpaper. Plus minor handling wear. ; A clear and elegant classic, Angus E. Taylor s Introduction to Functional Analysis provides a rigorous foundation in the structure and theory of normed linear spaces, inner product spaces, and linear operators. Geared toward advanced undergraduates and beginning graduate students, the text balances mathematical precision with accessibility, carefully motivating each concept from first principles. Topics include Banach and Hilbert spaces, bounded operators, dual spaces, and key theorems like Hahn Banach, Open Mapping, and Riesz Representation, all presented with formal clarity and pedagogical insight. Ideal for students aiming to understand the abstract framework behind differential equations, quantum mechanics, and modern analysis. ; 16.7x24.2x3.2cm; 467 pages.

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Bibliographic Details

Title: Introduction to Functional Analysis
Publisher: Krieger Publishing Company, U. S. A
Publication Date: 1986
Language: English
ISBN 10: 0898749514
ISBN 13: 9780898749519
Binding: Hardcover
Edition: Second Edition; Second Impression.
Condition: Very Good+
Dust Jacket Condition: No Dust Jacket

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Synopsis

Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.

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