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Fourier Analysis

Welcome to the wonderful world of function decomposition. When learning about the work of Joseph Fourier—for comparison—it can be insightful to also have a look at Laplace transforms, and compare with Taylor series.

Professor Brad Osgood, at Stanford University, introduces the subject from the point of view where the continuous integrals (the Fourier transform) becomes a limit of discrete infinite sums (the Fourier series). I like it, I think you will too.

Fourier Transforms at Stanford University