Approximation Theory and Approximation Practice, Extended Edition

Released on by Lloyd N. Trefethen
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  • Approximation Theory and Approximation Practice, Extended Edition Book Detail

  • Author : Lloyd N. Trefethen
  • Release Date : 2019-01-01
  • Publisher : SIAM
  • Genre : Mathematics
  • Pages : 375
  • ISBN 13 : 1611975948
  • File Size : 10,10 MB
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Approximation Theory and Approximation Practice, Extended Edition by Lloyd N. Trefethen PDF Summary

Book Description: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers 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. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

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Presented at a 1986 AMS Short Course, this title contains papers that give a brief introduction to approximation theory and some of its areas of active research