ENGLISH

Functional analysis. An introduction to metric spaces, Hilbert spaces, and Banach algebras

By Joseph Muscat

Book information

Publisher
Springer
Year
2014
ISBN
3319067273, 978-3-319-06727-8, 978-3-319-06728-5
Language
english
Format
PDF
Filesize
3 MB (3201551 bytes)
Pages
420\420
Library
kolxoz
Time added
2015-12-12 14:00:00

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.

Similar books