**A1.1 Fourier’s Theorem****A1.2 Frequency Spectrum****A1.3 Odd and Even Functions****A1.4 Fourier Analysis****A1.5 The Complex Fourier Series****A1.6 Frequency Analysis of Nonperiodic Signals: The Fourier Transform****A1.7 The Convolution Theorem****A1.8 A Fourier Transform Example: The Single Pulse****A1.9 The Discrete Fourier Transform**

Jean Baptiste Joseph Fourier (1768–1830) worked on a mathematical model of heat transfer in solid bodies (among many other topics). His thesis *On the Propagation of Heat in Solid Bodies* was published in 1807 and contained a novel idea for expanding a continuous function as a trigonometric series. Although Fourier developed this as a part of his ...

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