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Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras - Tapa blanda

Muscat, Joseph

 
9783031275364: Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Tapa blanda
ISBN 10: 3031275365 ISBN 13: 9783031275364
Editorial: Springer, 2024

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del 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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2024
Idioma
Inglés
ISBN 10 
3031275365
ISBN 13 
9783031275364
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
480
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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