History of the Wave Equation and Transforms in Engineering
Using Newton’s recently formulated laws of motion, Brook Taylor (1685–1721) discovered the wave equation by means of physical insight alone . Daniel Bernouli (1700–1782) showed that an infinite summation of sinusoids can represent the general solution of the wave equation with given initial conditions . Finally Jean Baptiste Joseph Fourier (1768–1830) showed that such an infinite sum, a Fourier series, can represent any discontinuous function under general conditions . From this early work connecting the wave equation and the Fourier transform, much of engineering mathematics of wave motion and transformations has been developed.
KeywordsWave Equation Seismic Wave Wave Motion Ocean Wave Seismic Trace
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