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Fourier series

math Maturity 11-13

You can make big shapes from small ones.

Fourier series illustration.svg
Fourier series illustration.svg
We use simple waves to build them. This helps us see how heat moves. It helps us study sound too. It is a very cool way to look at things. Can you find a pattern in your room?
Periodic identity function.gif
Periodic identity function.gif

50 words
🖼️ Images & Media (13)
File:Fourier heat in a plate.png
Fourier heat in a plate.png
File:Fourier_series_illustration.svg
Fourier_series_illustration.svg
File:sawtooth pi.svg
sawtooth pi.svg
File:Periodic identity function.gif
Periodic identity function.gif
File:Correlation_function.svg
Correlation_function.svg
File:PlotRectifiedSineSignal.svg
PlotRectifiedSineSignal.svg
File:PlotHalfRectifiedSineSignal.svg
PlotHalfRectifiedSineSignal.svg
File:PlotRectangleSignal.svg
PlotRectangleSignal.svg
File:PlotSawtooth1Signal.svg
PlotSawtooth1Signal.svg
File:PlotSawtooth2Signal.svg
PlotSawtooth2Signal.svg
File:PlotParabolaSignal.svg
PlotParabolaSignal.svg
File:F orbital.png
F orbital.png

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Fourier analysis
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Fourier analysis Harmonic analysis Uniform convergence

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Simpler topics to build understanding

Fourier transform Series expansion Periodic function
📚 Content adapted from Wikipedia | Readability: FK 15.1 | Vital Level 4