Many aspects of modern physics rely on an understanding of Fourier series, both for the synthesis and the analysis of waveforms.
- Daniel Russell of Penn State offers this set of animations showing the Fourier composition of some common waveforms
- This simulator from PhET enables interactive construction of waves from components. It also offers a game mode for student activities.
- This simulator from Falstad pairs well with the Russell animations and the PhET simulator, as it is designed for analysis rather than synthesis – you can input a standard wave form and show the breakdown of it into sine and cosine components. This simulator also allows filters to be applied.