Taylor & Fourier Studio
Watch series become functions: Taylor partial sums bending onto the true curve, and Fourier harmonics building waves — Gibbs overshoot and all. Covers §5.32–5.33.
Maclaurin Partial Sums
True function in steel; partial sum of order N in red. FIG. T31-1
Fourier Partial Sums on [−π, π]
Ideal wave in steel; Fourier partial sum in red. The persistent ~9% overshoot at the jumps is the Gibbs phenomenon. FIG. T31-2