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Functional Analysis

Name: Functional Analysis
Brand: Springer, Berlin
SKU: 42849740
Price: 23989 HUF
Availability: InStock
Author: Joseph Muscat
ISBN: 9783031275364

An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

Joseph Muscat

Language

English

Book Paperback

Libristo code: 42849740

Publishers Springer, Berlin, August 2023

This textbook provides an introduction to functional analysis suitable for lecture courses to final... Full description

Libristo code: 42849740

160 b

23 989 Ft

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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 single variable assumed of the reader.