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Introduction to the Approximation of Functions.

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Title: Introduction to the Approximation of Functions.
by Theodore J. Rivilin
ISBN: 0-486-64069-8
Publisher: Dover Publications
Pub. Date: 01 May, 1981
Format: Paperback
Volumes: 1
List Price(USD): $8.95
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Average Customer Rating: 4.5 (2 reviews)

Customer Reviews

Rating: 4
Summary: Great book ...
Comment: The book is terrific ... I just want to know what a "dress reversal" is - as mentioned by a previous reviewer. Maybe I missed something!!

Rating: 5
Summary: Not a good FIRST book on approximation theory
Comment: This is a good introduction to approximation theory, but not a good first book on approximation theory. The standard topics are covered: uniform approximation, least squares approximation, polynomial and spline interpolation, and approximation and interpolation by rational functions. Each of these topics deals with real valued functions of a real variable.

This book suits someone who has a good basic understanding of functional analysis: compact sets, uniform continuity, basic operator theory. Having said that, this book is actually quite good because instead of just listing the standard results accompanied with the tightest proofs, the author usually take a motivating approach to each of the results. He often starts out with a certain line of reasoning, demonstrates the resulting complications, and then picks up another line of reasoning that makes the result more apparent. This is very instructive because it gives you an insight to the "dress reversal" instead of just the "performance".

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