Appendix 1: The Fourier Transform
A1.1 Fourier’s Theorem
Jean Baptiste Joseph Fourier (1768–1830) worked on a mathematical model of heat transfer in solid bodies (amongst 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 model for heat transfer, ...