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A First Course in Functional Analysis
A First Course in Functional Analysis
S. David Promislow, York University, Toronto, Canada
ISBN: 978-0-470-14619-4
©2008
308 pages
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Description
Functional analysis has numerous multi-disciplinary applications and, consequently, courses on functional analysis are considered an essential part of many upper undergraduate and beginning graduate level mathematics and engineering programs. This straight-forward, concise book has been born out of one of these successful courses, taught by the author to both undergraduate and Masters’ students in pure and applied mathematics. The text is made up of carefully selected topics, and is written in an accessible style that requires minimal background knowledge. All the important topics are covered, from linear spaces and topological vector spaces, to the main theorems such as the Major Banach Space Theorems and the Hahn-Banach Theorem. Numerous exercises of ranging difficulty are included throughout the text to enhance the reader’s learning.

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