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Approximation Theory and Approximation Practice

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by Lloyd N. Trefethen


2013 / viii + 305 pages / Softcover / ISBN: 978-1-611972-39-9 / List Price $51.00 / SIAM Member Price $35.70 / Order Code OT128

Keywords: approximation theory, numerical analysis, Chebfun, quadrature, spectral methods

M-files and errata

Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It is aimed at advanced undergraduates and graduate students across all of applied mathematics.

This book differs fundamentally from other works on approximation theory:
The emphasis is on topics close to numerical algorithms.

  • Everything is illustrated with Chebfun.
  • Each chapter is a PUBLISHable Matlab M-file, available online.
  • The emphasis is on theorems and methods for analytic functions, which appear so often in applications, 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 bibliography is accompanied by an editorial comment.

Nick Trefethen is Professor of Numerical Analysis at Oxford University and a Fellow of the Royal Society. During 2011–2012 he served as President of SIAM.

Recommended for graduate students and advanced undergraduates interested in numerical analysis or approximation theory.

ISBN: 9781611972399

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