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Functional analysisan introduction to metric spaces, Hilbert spaces, and Banach algebras /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysisby Joseph Muscat.
其他題名:	an introduction to metric spaces, Hilbert spaces, and Banach algebras /
作者:	Muscat, Joseph.
出版者:	Cham :Springer International Publishing :2024.
面頁冊數:	xiii, 464 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Functional analysis.
電子資源:	https://doi.org/10.1007/978-3-031-27537-1
ISBN:	9783031275371$q(electronic bk.)

Functional analysisan 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$q(electronic bk.)

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

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Functional analysisan 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.
250 $a Second edition.
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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 200585
650 0 $a Metric spaces. $3 186150
650 0 $a Hilbert space. $3 184635
650 0 $a Banach algebras. $3 247399
650 1 4 $a Functional Analysis. $3 274845
650 2 4 $a Operator Theory. $3 274795
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856 4 0 $u https://doi.org/10.1007/978-3-031-27537-1
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