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This chapter shows how certain waveforms are approximated by a series of cosine and sine functions, called a Fourier Series. The idea was proposed by the French mathematician Joseph Fourier (1768–1830), who claimed that any function of a variable, whether continuous or discontinuous, can be expanded into a series of sines of multiples of the variable [1]. Today, this claim has beenFourier, JosephFourier, series@Fourier series slightly tempered by mathematicians.

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Fourier Series

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  • 发表日期：

    2025年

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  • John Vince

摘要

This chapter shows how certain waveforms are approximated by a series of cosine and sine functions, called a Fourier Series. The idea was proposed by the French mathematician Joseph Fourier (1768–1830), who claimed that any function of a variable, whether continuous or discontinuous, can be expanded into a series of sines of multiples of the variable [1]. Today, this claim has beenFourier, JosephFourier, series@Fourier series slightly tempered by mathematicians.