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...Introduction to complex fourier series nathan pueger december come in two avors what we have studied so far are called real these decompose a given periodic function into terms of the form sin nx and cos this document describes inx an alternative where is instead decomposed e since they make use numbers practice it easier work with for most calculation then convert only at end pattern very typical many situations useful throughout i will signicant simplications order focus on conceptual points avoid technical baggage nite sums often trigonometric polynomials other contexts consider functions period coecients recall that begun discussing by attempting write f x following notation diers from author am stewart s here b n words goal was break its constituent frequencies miracle as long continuous or even piecewise some caveats discussed text such decomposition always possible sort table atoms all waves built out contrast aims cne there about means namely mean sum starts but going gloss ove...