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Functional Analysis: An Introduction to Banach Space Theory

Functional Analysis: An Introduction to Banach Space Theory

Hardcover

Series: Pure and Applied Mathematics: A Wiley Texts, Monographs and Tracts, Book 43

General Mathematics

ISBN10: 0471372145
ISBN13: 9780471372141
Publisher: John Wiley & Sons
Published: Dec 18 2000
Pages: 376
Weight: 1.55
Height: 0.94 Width: 6.42 Depth: 9.50
Language: English
A powerful introduction to one of the most active areas of theoretical and applied mathematics

This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and do mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including:
* Weak topologies and applications
* Operators on Banach spaces
* Bases in Banach spaces
* Sequences, series, and geometry in Banach spaces


Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.

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General Mathematics