[理工] [工數]- Fourier

[mdpming (+ 我不是豬 +)]

1.

Find complex Fouier series of f(x)

                        2
f(x+2)=f(x) and f(x) = x + x    in  0 < x < 1

                        2
                f(x) = x - x + 2   in 1 < x < 2
                                        =


答案是



        11    8     2i        1            n  inπx
f(x) = ---- + M  [ ----- + -------(1 + (-1) ]e
        6    n=-8   nπ      2  2
            n=/=0           n π



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