Functional Analysis
An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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Word Count
107,750 words, Guess
Page Count
431 pages
Physical Format
Paperback
Identifiers
- ISBN-103319067273
- ISBN-139783319067278
- Library of Congress Control Number2014939386
- OCLC Control Number876005872
- Better World Books9783319067278
and 1 more
- Open LibraryOL27959578M
Classifications
- LCCQA319-329.9QA329-329
- LCCQA320 .M87 2014
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.
Subjects
Other Editions
- Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
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