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An Introduction to the Approximation of Functions (Dover Books on Mathematics) Paperback – 17 Mar 2003

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Product details

  • Paperback: 160 pages
  • Publisher: Dover Publications Inc.; New edition edition (17 Mar. 2003)
  • Language: English
  • ISBN-10: 0486640698
  • ISBN-13: 978-0486640693
  • Product Dimensions: 1.3 x 14.6 x 21.6 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Bestsellers Rank: 516,167 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

By Peter Van Eetvelt on 8 Aug. 2014
Format: Paperback Verified Purchase
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Most Helpful Customer Reviews on Amazon.com (beta)

Amazon.com: 3 reviews
13 of 14 people found the following review helpful
Not a good FIRST book on approximation theory 27 April 2001
By UNPINGCO - Published on Amazon.com
Format: Paperback
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".
6 of 6 people found the following review helpful
Clear, concise, and complete 9 Nov. 2006
By Gordon Worley - Published on Amazon.com
Format: Paperback Verified Purchase
This is a great book for getting started with approximation theory. All you really need to do this book is a decent background in calculus and linear algebra: all the functional analysis and other tools you need are provided in the book. The only drawback to the book is that it's out-of-date and no longer reflects current research, but it does a great job in covering all the basics you'll need to understand the new, advanced stuff when you go looking for it in other books and journals. Still, this book is indispensable and I would recommend it over every other book I've seen in the field if you're new to approximation theory.
5 of 10 people found the following review helpful
Great book ... 17 Sept. 2002
By G. Cantor - Published on Amazon.com
Format: Paperback Verified Purchase
The book is terrific ... I just want to know what a "dress reversal" is - as mentioned by a previous reviewer. Maybe I missed something!!
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