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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.
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.
Includes over 1000 examples and exercises
Contains interesting applications such as least squares approximation, inverse problems, and SVD
Assumes only single-variable real analysis and linear algebra
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 480 |
| Inhalt: |
xiii
464 S. 71 s/w Illustr. 1 farbige Illustr. 464 p. 72 illus. 1 illus. in color. |
| ISBN-13: | 9783031275364 |
| ISBN-10: | 3031275365 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Muscat, Joseph |
| Auflage: | 2nd ed. 2024 |
| Hersteller: | Springer International Publishing |
| Maße: | 235 x 155 x 26 mm |
| Von/Mit: | Joseph Muscat |
| Erscheinungsdatum: | 29.02.2024 |
| Gewicht: | 0,721 kg |
Includes over 1000 examples and exercises
Contains interesting applications such as least squares approximation, inverse problems, and SVD
Assumes only single-variable real analysis and linear algebra
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 480 |
| Inhalt: |
xiii
464 S. 71 s/w Illustr. 1 farbige Illustr. 464 p. 72 illus. 1 illus. in color. |
| ISBN-13: | 9783031275364 |
| ISBN-10: | 3031275365 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Muscat, Joseph |
| Auflage: | 2nd ed. 2024 |
| Hersteller: | Springer International Publishing |
| Maße: | 235 x 155 x 26 mm |
| Von/Mit: | Joseph Muscat |
| Erscheinungsdatum: | 29.02.2024 |
| Gewicht: | 0,721 kg |
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