French mathematician (1855–1930)
M. P. Appell is the same person: it stands for Monsieur Paul Appell .Paul Émile Appell (27 September 1855 inStrasbourg – 24 October 1930 inParis ) was a Frenchmathematician andRector of theUniversity of Paris .Appell polynomials and Appell's equations of motion are named after him, as is rue Paul Appell in the14th arrondissement of Paris and the minor planet988 Appella .
Paul Appell entered theÉcole Normale Supérieure in 1873. He was elected to theFrench Academy of Sciences in 1892.
In 1895, he became a Professor at theÉcole Centrale Paris . Between 1903 and 1920 he wasDean of the Faculty of Science of the University of Paris, then Rector of the University of Paris from 1920 to 1925.
Appell was the President of theSociété astronomique de France (SAF) , the French astronomical society, from 1919 to 1921.[ 1]
His daughter Marguerite Appell (1883–1969), who married the mathematicianÉmile Borel , is known as a novelist under her pen-nameCamille Marbo .
Appell was an atheist.[ 2] He was awardedOrder of the White Eagle .[ 3] and was also elected to honorary membership of theManchester Literary and Philosophical Society .[ 4]
He worked first onprojective geometry in the line ofChasles , then onalgebraic functions ,differential equations , andcomplex analysis . Appell was the editor of the collected works ofHenri Poincaré . Jules Drach was co-editor of the first volume.[ 5]
He introduced a set of four hypergeometric seriesF 1 ,F 2 ,F 3 ,F 4 of two variables, now calledAppell series , that generalizeGauss 'shypergeometric series .
He established the set ofpartial differential equations of which these functions are solutions, and found formulas and expressions of these series in terms ofhypergeometric series of one variable. In 1926, with ProfessorJoseph-Marie Kampé de Fériet , he authored a treatise on generalized hypergeometric series.
In mechanics, he proposed an alternative formulation of analytical mechanics known asAppell's equation of motion .
He discovered a physical interpretation of theimaginary period of thedoubly periodic function whose restriction toreal arguments describes the motion of an idealpendulum .
Traité de mécanique rationnelle , 4 Vols. (Gauthier-Villars, 1893–1896)Traité de mécanique rationnelle Tome I Traité de mécanique rationnelle Tome II Traité de mécanique rationnelle Tome III Traité de mécanique rationnelle Tome IV Fasc. 1 Traité de mécanique rationnelle Tome IV Fasc. 2 Traité de mécanique rationnelle Tome V [ 6] Les mouvements de roulement en dynamique withJacques Hadamard (C. Hérissey, Évreux, 1899)Éléments de la théorie des vecteurs et de la géométrie analytique (Payot, 1921)Éléments d'analyse mathématique à l'usage des ingénieurs et des physiciens : cours professé à l'École centrale des arts et manufactures (Gauthier-Villars, 1921)Principes de la théorie des fonctions elliptiques et applications with E. Lacour (Gauthier-Villars, 1897)Le problème géométrique des déblais et remblais (Gauthier-Villars, 1928)[1] , autobiographic (Payot, 1923)Théorie des fonctions algébriques et de leurs intégrales withÉdouard Goursat .[ 7] Fonctions hypergéométriques et hypersphériques with Joseph-Marie Kampé de Fériet (Gauthier-Villars, 1926) See catalogue of theFrench National Library for a more detailed list ^ Bulletin de la Société astronomique de France , November 1937, plates X–IX^ MAUGIN, GRARD A. CONTINUUM MECHANICS THROUGH THE EIGHTEENTH AND NINETEENTH CENTURIES: historical perspectives ... from john bernoulli to ernst hellinger. Place of publication not identified: SPRINGER, 2016. Print. ""he was an atheist" ^ Acović, Dragomir (2012).Slava i čast: Odlikovanja među Srbima, Srbi među odlikovanjima . Belgrade: Službeni Glasnik. p. 643. ^ Memoirs and proceedings of the Manchester Literary & Philosophical Society FOURTH SERIES Eighth VOLUME 1894 ^ Birkhoff, G. D. (1934)."The Work of Poincaré on Differential Equations" (PDF) .Bull. Amer. Math. Soc .40 (5):363– 366.doi :10.1090/s0002-9904-1934-05835-x .^ Thomas, Tracy Yerkes (1927)."Traité de Mécanique Rationnelle , Vol. V" (PDF) .Bull. Amer. Math. Soc .33 (4):493– 495.doi :10.1090/s0002-9904-1927-04414-7 . ^ Osgood, W. F. (1896)."Review:Théorie des fonctions algébriques et de leurs intégrales , par Paul Appell et Édouard Goursat" (PDF) .Bull. Amer. Math. Soc .2 (10):317– 327.doi :10.1090/s0002-9904-1896-00353-0 .(fr:) P. Appell, "Notice sur les travaux scientifiques"Acta Mathematica 45 (1925) pp. 161–285. describes 257 of Appell's publications. (fr:) E. Lebon,Biographie et bibliographie analytique des écrits de Paul Appell (Paris, 1910) (fr:) P. Appell, "Sur une classe de polynômes",Annales scientifiques de l'École Normale Supérieure 2e série , tome 9, 1880. (fr:) P. Appell, "Sur les fonctions hypergeometriques de deux variables"Journal de Mathématiques Pures et Appliquées series III,8 , 173 (1882). (fr:) P. Appell, "Sur une interprétation des valeurs imaginaires du temps en Mécanique",Comptes Rendus Hebdomadaires des Scéances de l'Académie des Sciences , volume 87, number 1, July, 1878. Greenwood, THOMAS (1930)."Obituary Prof Paul Appell" .Nature .126 (3189):924– 925.doi :10.1038/126924a0 . May, Kenneth (1970). "Appell, Paul".Dictionary of Scientific Biography . Vol. 1. New York: Charles Scribner's Sons. pp. 193– 195.ISBN 978-0-684-10114-9 . O'Connor, John J.;Robertson, Edmund F. ,"Paul Émile Appell" ,MacTutor History of Mathematics Archive ,University of St Andrews
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