Functional Analysis : An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras by Joseph Muscat
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Author: Joseph Muscat
Page Count: 420 pages
Published Date: 01 Aug 2014
Publisher: Springer International Publishing AG
Publication Country: Cham, Switzerland
Language: English
ISBN: 9783319067278
File size: 13 Mb
File Name: Functional.Analysis.An.Introduction.to.Metric.Spaces,.Hilbert.Spaces,.and.Banach.Algebras.pdf
Download Link: Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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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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