When I vibrate one end of a string, the wave is set up?

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WiFO215
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Does anyone have any reading material on how, when I vibrate one end of a string, the wave is set up? French has a tiny section on Fourier Series, but doesn't delve into it much. Any references to books would also be appreciated.
 
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Do searches for solutions to the PDE wave equation in 1-D. If you are referring to a standing wave, the wave is the superposition of two waves traveling in opposite directions.
 

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