Nice article, thanks. For anyone interested in the topic, I highly recommend Trefethen's Approximation Theory and Approximation Practice. It's approachable, intuitive, and fun while still covering a lot of technical detail.
I have that in the further reading section :) I personally consider it one of the best textbooks on numerical analysis.
I only wish Trefethen had written it with general C/C++ instead of his own custom MATLAB library, chebfun. One of these days I'd like to get around to implementing chebfun in C++.
