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Functional analysis = an introduction to metric spaces, Hilbert spaces, and Banach algebras /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Functional analysis/ by Joseph Muscat.
Reminder of title:	an introduction to metric spaces, Hilbert spaces, and Banach algebras /
Author:	Muscat, Joseph.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xiii, 464 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-031-27537-1
ISBN:	9783031275371

Functional analysis = an introduction to metric spaces, Hilbert spaces, and Banach algebras /
Muscat, Joseph.

Functional analysisan introduction to metric spaces, Hilbert spaces, and Banach algebras /[electronic resource] :by Joseph Muscat. - Second edition. - Cham :Springer International Publishing :2024. - xiii, 464 p. :ill., digital ;24 cm.

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.

ISBN: 9783031275371

Standard No.: 10.1007/978-3-031-27537-1doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Functional analysis = an introduction to metric spaces, Hilbert spaces, and Banach algebras /
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245 1 0 $a Functional analysis $h [electronic resource] : $b an introduction to metric spaces, Hilbert spaces, and Banach algebras / $c by Joseph Muscat.
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xiii, 464 p. : $b ill., digital ; $c 24 cm.
520 $a 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.
650 0 $a Functional analysis. $3 531838
650 0 $a Metric spaces. $3 546825
650 0 $a Hilbert space. $3 558371
650 0 $a Banach algebras. $3 594710
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Operator Theory. $3 897311
710 2 $a SpringerLink (Online service) $3 836513
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856 4 0 $u https://doi.org/10.1007/978-3-031-27537-1
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