TREFETHEN'S NYU LECTURES ON
_APPROXIMATION THEORY AND APPROXIMATION PRACTICE_
**LECTURE 1**
CHAPTER 1. INTRODUCTION [4:40]
History of approximation theory [5:00]
Matlab, Chebfun, Publish, ATAP [13:30]
CHAPTER 2. CHEBYSHEV POINTS AND INTERPOLANTS [22:00]
Chebfun demo [28:20]
Clustering at the boundary and point charges [37:20]
CHAPTER 3. CHEBYSHEV POLYNOMIALS AND SERIES [45:20]
Fourier, Laurent, and Chebyshev [46:00]
Chebyshev polynomials [56:40]
Thm 3.1: Chebyshev series [1:01:50]
Examples [1:07:40]
Chebfun demos [1:10:20]
How Chebfun resolves a function [1:16:20]