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Springer Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

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Description

This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates. Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection. This new edition of Functional Analysis has been completely revised and corrected, with many passages rewritten for clarity, numerous arguments simplified, and a good amount of new material added, including new examples and exercises. The prerequisites, however, remain the same with only knowledge of linear algebra and real analysis of a singlevariable assumed of the reader.

Key Features

Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

Product type: ABIS BOOK

Brand: Springer

Color : Yellow

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
29 February 2024
Listed Since
25 January 2023

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