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Universitext

Fundamentals of Functional Analysis

Authors: Farenick, Douglas

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  • Tailored to novice mathematicians and non-specialists who wish to learn functional analysis with minimal prerequisites
  • Contains many interesting examples and challenging exercises
  • Covers a selection of topics that, while decades old, are of lasting value to both pure and applied mathematics
  • Presents an outstanding treatment of Banach spaces and operator theory, being written by a specialist in these areas
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-45633-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-45631-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often buried within full-length overviews of the subjects. This is particularly useful for those in applied mathematics, engineering, or physics who need to have a firm grasp of functional analysis, but not necessarily some of the more abstruse aspects of topology and measure theory normally encountered. The reader is assumed to only have knowledge of basic real analysis, complex analysis, and algebra.

The latter part of the text provides an outstanding treatment of Banach space theory and operator theory, covering topics not usually found together in other books on functional analysis. Written in a clear, concise manner, and equipped with a rich array of interesting and important exercises and examples, this book can be read for an independent study, used as a text for a two-semester course, or as a self-contained reference for the researcher. 

 

About the authors

Douglas Farenick is a Professor of Mathematics at the University of Regina in Canada, specializing in operator theory. 

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-45633-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-45631-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Functional Analysis
Authors
Series Title
Universitext
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-45633-1
DOI
10.1007/978-3-319-45633-1
Softcover ISBN
978-3-319-45631-7
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIV, 451
Number of Illustrations
2 b/w illustrations
Topics