Evans M. Harrell II*
One of the most successful parts of this chapter is the link to the calculations using Legendre polynomials, with graphs showing how much better that approximation is than the Taylor series. This gives the students impressive visual evidence to appreciate approximation with orthogonal functions.
Another part which is much appreciated by graduate students here, especially from electrical engineering, is the appendix on filtering. They hear this language in their other courses and find that it helps put Fourier series in perspective.
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