Transforming Fourier Series

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Transforming Fourier Series

Here are some different waves. These waves are just additions and multiplications of simple waves. We then can add these together, one by one, to get a complicated wave. This will lead us to a wonderful formula.

I will add these formulas together one by one. This will show you how easily a complex wave can be broken down into simpler waves.

Fourier Series

Euler’s Formula

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Substitutions

Simplifications

Substitutions

Compacting the Formula

Substitutions

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Author: Richard Wartell
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