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Książka Functional Analysis Joseph Muscat

Functional Analysis

An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

Autor: Joseph Muscat
Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
254.79 zł
This textbook provides an introduction to functional analysis suitable for lecture courses to final...

Informacje o książce

Autor
Joseph Muscat
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2023
strony
456
EAN
9783031275364
Enbook ID
42849740
Wydawca
Springer, Berlin
Waga
728
Wymiary
155 x 235

Pełny opis

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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