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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras - Softcover
Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
Professor Joseph Muscat graduated from the University of Oxford and obtained his Ph.D. from Princeton University with a thesis on the Maxwell–Klein–Gordon equation on curved space-time. He has written several papers on the applications of functional analysis to inverse problems in the biomedical field and is a co-author of the novel ACSP method in EEG signal processing.
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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.
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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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Functional Analysis: An Introduction to Metric Spaces Hilbert Spaces and Banach Algebras
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Functional Analysis
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Functional Analysis: An Introduction to Metric Spaces Hilbert Spaces and Banach Algebras
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FUNCTIONAL ANALYSIS
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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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Functional Analysis : An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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Springer International Publishing, 2024
ISBN 10: 3031275365
ISBN 13: 9783031275364
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Analysishas been completely revised and corrected, withmany 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. Bestandsnummer des Verkäufers 9783031275364
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Functional Analysis
Verlag:
Springer International Publishing Nov 2023, 2023
ISBN 10: 3031275365
ISBN 13: 9783031275364
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 Analysishas been completely revised and corrected, withmany 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. 480 pp. Englisch. Bestandsnummer des Verkäufers 9783031275364
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Functional Analysis
ISBN 10: 3031275365
ISBN 13: 9783031275364
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Taschenbuch
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 480 pp. Englisch. Bestandsnummer des Verkäufers 9783031275364
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