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Functional Analysis

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

Joseph Muscat

Editore:: Springer International Publishing
EAN:: 9783319067278
ISBN:: 3319067273
Pagine:: 432
Formato:: Paperback
Lingua:: Tedesco

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Descrizione Functional Analysis

This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.

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Functional Analysis

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

Joseph Muscat

Springer International Publishing

9783319067278

3319067273

Descrizione Functional Analysis

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