Fourier transform mathematical physics method, Fourier transform, Fourier series, Fourier series Fourier expansion, Fourier expansion theorem: the function f(x) with a period of 2π can be expanded into a trigonometric series, and the coefficient of the expansion is Fourier series expansion example Symmetric function versus odd function: Fourier series The significance of Fourier expansion: Theoretical significance: complex periodic functions are represented by simple trigonometric series; Application significance: complex periodic functions are approximately represented by the sum of trigonometric functions. For example: Fourier expansion of a symmetrical square wave
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