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Approximation Theory and Approximation Practice - Lloyd N. Trefethen

Approximation Theory and Approximation Practice

Extended Edition
Buch | Softcover
363 Seiten
2020
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-593-2 (ISBN)
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A textbook on classical polynomial and rational approximation theory for the twenty-first century. The book differs f from other works on approximation theory in 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.
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.

Nick Trefethen is professor of numerical analysis at the University of Oxford and a Fellow of the Royal Society. He served as SIAM President in 2011–2012.

Erscheinungsdatum
Verlagsort New York
Sprache englisch
Gewicht 980 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-61197-593-X / 161197593X
ISBN-13 978-1-61197-593-2 / 9781611975932
Zustand Neuware
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