Désiré André

Antoine Désiré André ( born March 29, 1840 in Lyon, † 1918 in Paris) was a French mathematician who worked on analytic combinatorics. He was a pupil of Joseph Bertrand and taught as a professor at the Institut Catholique de Paris. He received recognition for his work on alternating permutations and to the reflection principle.

Life

André went first at the Lycée de Lyon to school. In his senior year he moved to the prestigious Lycée Henri IV in Paris, where he made ​​his class in 1860, financial statements. He then studied at the École Normale Supérieure in Paris in the section of natural sciences. In 1863 he received his Agrégation in mathematics. His doctorate in mathematics, he graduated in 1877 with the work Développements en séries et de leurs des fonctions elliptiques Puissances ( series expansion of elliptic functions and their magnitude) from.

After his studies, he taught as a teacher first elementary mathematics at the Lycée de Troyes and at the École des Carmes, later special mathematics at the Collège Sainte -Barbe and at the Collège Stanislas in Paris. Then he taught applied mathematics at the Faculty of Science at the University of Dijon, before being appointed in 1887 as Professor of Mathematical Analysis at the Institut Catholique de Paris. In 1907 he went into retirement.

Work

André wrote a large number of scientific publications, especially in the analytic combinatorics. He made ​​important contributions to factorials, combinations, variations, permutations, inversions, recurrences, series, determinants, and to several other combinatorial problems. Perhaps his most famous result is the presentation of the Maclaurin series of the secant and the tangent function (1879, 1881) of the form

Wherein the number of permutations of the alternating length. Next goes back to him a combinatorial variant of the reflection principle ( 1887), the Louis Bachelier began later in the analysis of Wiener processes in financial mathematics.

Honors

In 1890 he became president of the Société Mathématique de France. In July 1897 he was appointed a Knight of the French Legion of Honor ( Chevalier de la Légion d' Honneur ). In 1904 he received the Prix Poncelet of the Académie des sciences.

Publications

• Désiré André: L' arithmétique des écoles primaires Cours élémentaire. Vve E. Belin et fils, 1883.
• Désiré André: L' arithmétique des écoles primaires Cours moyen. Vve E. Belin et fils, 1884.
• Désiré André: L' arithmétique des écoles primaires Cours supérieur. Vve E. Belin et fils, 1889.
• Désiré André Des notations Mathématiques: enumeration choix et usage. Gauthier -Villars, 1909.
• Désiré André: Notice sur les travaux scientifiques. Gauthier -Villars, 1910.

Articles (Selection )

• Désiré André: Développements en séries et de leurs des fonctions elliptiques Puissances. In: Annales Scientifiques de l' École Normale Supérieure. 6, 1877, pp. 265-328.
• Désiré André: Développements de sec x tan x et. In: Comptes Rendus de l' Académie des Sciences. 88, 1879, pp. 965-967.
• Désiré André: Mémoire sur les permutations alternées. In: J. Math 7, 1881, pp. 167-184.
• Désiré André: Solution directed you problème Résolu par M. Bertrand. In: Comptes Rendus de l' Académie des Sciences. 105, 1887, pp. 436-437.