Can I read Chapter 1. Introduction on EtoBox?

Chapter 1. Introduction is a book available to read on EtoBox.

What is Chapter 1. Introduction about?

Welcome to a beautiful subject!-the constructive approximation of functions. And welcome to a rather unusual book.Approximation theory is an established field, and my aim is to teach you some of its most important ideas and results, centered on classical topics related to polynomials and rational functions. The style of this book, however, is quite different from what you will find elsewhere. Everything is illustrated computationally with the help of the Chebfun software package in MATLAB, from Chebyshev interpolants to Lebesgue constants, from the Weierstrass approximation theorem to the Remez algorithm. Everything is practical and fast, so we will routinely compute polynomial interpolants or Gauss quadrature weights for tens of thousands of points. In fact, each chapter of this book is a single MATLAB M-file, and the book has been produced by executing these files with the MATLAB "publish" facility. The chapters come from M-files called chap1.m, . . . , chap28.m and you can download them and use them as templates to be modified for explorations of your own.Beginners are welcome, and so are experts, who will find familiar topics approached from new angles and familiar conclusions

Published

2019

Language

EN