Description

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.

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

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Paperback / softback by Joseph Muscat

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This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of... Read more

    Publisher: Springer International Publishing AG
    Publication Date: 01/08/2014
    ISBN13: 9783319067278, 978-3319067278
    ISBN10: 3319067273

    Number of Pages: 420

    Non Fiction , Mathematics & Science , Education

    Description

    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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