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Math Help - fourier series

  1. #1
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    fourier series

    A finite Fourier series is given by the sum
    f(x) = \sum\limits_{n = 1}^N {{a_n}\sin nx = {a_1}\sin x + {a_2}\sin 2x + ... + {a_N}\sin Nx}<br />
    Show that the mth coefficient am is given by the formula
    {a_m} = \frac{1}<br />
{\pi }\int_{ - \pi }^\pi  {f(x)\sin mxdx} <br /> <br />

    very confused...
    Last edited by genlovesmusic09; October 6th 2009 at 08:17 PM.
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  2. #2
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    Quote Originally Posted by genlovesmusic09 View Post
    A finite Fourier series is given by the sum
    f(x) = \sum\limits_{n = 1}^N {{a_n}\sin nx = {a_1}\sin x + {a_2}\sin 2x + ... + {a_N}\sin Nx}<br />
    Show that the mth coefficient am is given by the formula
    {a_m} = \frac{1}<br />
{\pi }f(x)\sin mxdx<br />

    very confused...

    The formula is incorrect: you ommited an integral. Check once again and try to prove it by yourself, and if you get stuck somewhere THEN write back.

    Tonio
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  3. #3
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    okay thanks i've corrected it
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