Approximation Theory and Approximation Practice

✍ Scribed by Lloyd N. Trefethen

Year: 2013
Tongue: English
Leaves: 375
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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