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Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.
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Book Description:
Now revised and up-dated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.
Review:
"The presentation is self-contained and lively and its outstanding feature is its brevity." Mathematical Reviews
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- PublisherCambridge University Press
- Publication date1999
- ISBN 10 0521655773
- ISBN 13 9780521655774
- BindingPaperback
- Edition number2
- Number of pages256
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Linear Analysis: An Introductory Course (Cambridge Mathematical Textbooks)
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