Editing Superposition principle (section)

==History==

According to [[Léon Brillouin]], the principle of superposition was first stated by [[Daniel Bernoulli]] in 1753: "The general motion of a vibrating system is given by a superposition of its proper vibrations." The principle was rejected by [[Leonhard Euler]] and then by [[Joseph-Louis Lagrange|Joseph Lagrange]]. Bernoulli argued that any sonorous body could vibrate in a series of simple modes with a well-defined frequency of oscillation. As he had earlier indicated, these modes could be superposed to produce more complex vibrations. In his reaction to Bernoulli's memoirs, Euler praised his colleague for having best developed the physical part of the problem of vibrating strings, but denied the generality and superiority of the multi-modes solution.<ref>Topics on Numerics for Wave Propagation, Basque Center for Applied Mathematics, 2012, Spain, [http://www.bcamath.org/documentos_public/courses/1_Course2012Chapter1WavesHistoryApplications.pdf p. 39]</ref>

Later it became accepted, largely through the work of [[Joseph Fourier]].<ref>[[Léon Brillouin|Brillouin, L.]] (1946). ''Wave propagation in Periodic Structures: Electric Filters and Crystal Lattices'', McGraw–Hill, New York, p. 2.</ref>