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Marc-antoine ParsevalMarc-Antoine Parseval des Chênes (April 27, 1755 – August 16, 1836) was a French mathematician, most famous for what is now known as Parseval's theorem, which presaged the unitarity of the Fourier transform. He was born in Rosieres-aux-Salines, in France, into an aristocratic French family, and married Ursule Guerillot in 1795, but divorced her soon thereafter. A monarchist opposed to the French revolution, Parseval fled the country after being imprisoned in 1792 by Napoleon for publishing poetry critical of the government. Later, he was nominated to the Paris Academy of Sciences five times, from 1796 to 1828, but was never elected. His only mathematical publications were, apparently, five papers, published in 1806 as Mmoires prsents l'Institute des Sciences, Lettres et Arts, par divers savans, es lus dans ses assembles. Sciences mathmatiques et physiques. (Savans trangers.) This combined the following earlier monographs: - "Mmoire sur les rsolution des quations aux diffrences partielles linaires du second ordre," (May 5, 1798).
- "Mmoire sur les sries et sur l'integration complte d'une quation aux diffrences partielles linaires du second ordre, coefficents constants," (April 5, 1799).
- "Intgration gnrale et complte des quations de la propagation du son, l'air tant considr avec ses trois dimensions," (July 5, 1801).
- "Intgration gnrale et complte de deux quations importantes dans la mcanique de fluides," (August 16, 1803).
- "Mthode gnerale pour sommer, par le moyen des intgrales dfinies, la suite donne par le thorme de M. Lagrange, au moyen de laquelle il trouve une valeur qui satisfait une quation algbrique ou transcendente," (May 7, 1804).
It was in the second, 1799, memoir in which he stated, but did not prove (claiming it to be self-evident), the theorem that now bears his name. He further expanded upon it in his 1801 memoir, and used it to solve various differential equations. The theorem was first printed in 1800 as a part (p. 377) of Trait des diffrences et des sries by Lacroix. References Parseval, Marc-Antoine Parseval, Marc-Antoine Parseval, Marc-Antoine
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