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Oxford University
Mathematical Institute

Approximation Theory and Approximation Practice

This textbook, with 163 figures and 210 exercises, was published in 2013. It is available from SIAM and from Amazon.

Unusual features:

  • The emphasis is on topics close to numerical algorithms.
  • Everything is illustrated with Chebfun.
  • Each chapter is a PUBLISHable Matlab M-file.
  • There is a bias toward theorems and methods for analytic functions, which appear so often in practical approximation, rather than on functions at the edge of discontinuity with their seductive theoretical challenges.
  • Original sources are cited rather than textbooks, and each item in the 27-page bibliography is annotated with an editorial comment.
The first six chapters are available online.


All the M-files used to generate the book with Matlab PUBLISH are also available. This makes it easy to run any of the numerical demonstrations from the book, assuming you have Chebfun in your Matlab path. You can get them from a zip file or individually:


ATAP
ERRATA:


Exercise 3.6: the exponent k-1 should be (k-1)/2.
Formula (21.2) is incorrect (p. 166 and inside back cover).

Please contact us with any questions and comments.
Copyright © 2013, The University of Oxford & The Chebfun Team.