Functional Analysis

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

Authors: Muscat, Joseph

  • Provides a self-contained introduction to functional analysis, assuming only real analysis and linear algebra
  • Presents the essential aspects of metric spaces, Hilbert spaces, Banach spaces and Banach algebras
  • Includes interesting applications of Hilbert spaces such as least squares approximation and inverse problems
  • Prepares the reader for graduate-level mathematical analysis
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  • ISBN 978-3-319-06728-5
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  • ISBN 978-3-319-06727-8
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About this Textbook

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.

About the authors

Professor Joseph Muscat graduated at the University of Oxford and obtained his Ph.D. from Princeton University with a thesis on the Maxwell-Klein-Gordon equation on curved space-time. He has written several papers on the applications of functional analysis to inverse problems in the biomedical field and is a co-author of the novel ACSP method in EEG signal processing.

Table of contents (15 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-06728-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-06727-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis
Book Subtitle
An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-319-06728-5
DOI
10.1007/978-3-319-06728-5
Softcover ISBN
978-3-319-06727-8
Edition Number
1
Number of Pages
XI, 420
Number of Illustrations and Tables
75 b/w illustrations
Topics