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Calculus · 中文

Fourier series

A Chinese visual explanation of fourier series. Catalog metadata imported from the original Math Video site and checked against the source platform; not a transcript.

Reviewed learning material · Video analysis · English

The square wave is 1 on the positive half-period and −1 on the negative half-period. Adding odd sine harmonics makes partial sums approach its flat sections. At jumps the series approaches the midpoint of the one-sided limits, while nearby Gibbs overshoot persists as more terms are added.

Before you watch

  • Periodic functions and parity
  • Adding sine harmonics
  • Pointwise and uniform convergence