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Muscat Joseph
Muscat Joseph - Functional Analysis An Introduction To Metric Spaces Hilbert Spaces And Banach Algebras - Paperback
Muscat Joseph - Functional Analysis An Introduction To Metric Spaces Hilbert Spaces And Banach Algebras - Paperback
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Binding: Paperback
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.
Title: Functional Analysis An Introduction To Metric Spaces Hilbert Spaces And Banach Algebras
Author(s): Muscat Joseph
Publisher: Springer International Publishing Ag
Barcode: 9783031275364
Pages: 464 Pages, 1 Illustrations, Color; 71 Illustrations, Black And White; Xiii, 464 P. 72 Illus., 1 Illu
Publication Date: 2/29/2024
Category: Functional Analysis & Transforms
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.
Title: Functional Analysis An Introduction To Metric Spaces Hilbert Spaces And Banach Algebras
Author(s): Muscat Joseph
Publisher: Springer International Publishing Ag
Barcode: 9783031275364
Pages: 464 Pages, 1 Illustrations, Color; 71 Illustrations, Black And White; Xiii, 464 P. 72 Illus., 1 Illu
Publication Date: 2/29/2024
Category: Functional Analysis & Transforms
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