Examples of Fourier series 

This set of animations provides examples of common Fourier series often used in introductory courses on the subject. For each periodic function, I take the first six nonzero Fourier components and let them run in time. These are summed to produce an approximation to the original function. 

The examples include


Finally, I include an animation of a square wave, in which I gradually increase the number of Fourier components, showing how the finite approximation becomes more and more precise. 

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