Édouard Goursat

Édouard Jean- Baptiste Goursat ( born May 21, 1858 in Lanzac, department Lot, France, † November 25, 1936 in Paris, France) was a French mathematician who is known as the author of a classical analysis textbook.

Goursat attended the Collège de Brive- la -Gaillarde and began in 1876 to study at the École Normale Supérieure (ENS ). He was particularly influenced by Charles Hermite and Charles Émile Jean Darboux and learned Picard know, who studied with him and with whom he remained a lifelong friend. Picard persuaded him later to begin a college career. In 1879 he began teaching at the University of Paris and received his doctorate in 1881 for his work " Sur l' équation différentialle linéaire qui ADMET pour la série intégrale hypergéometrique ". Then Goursat taught until 1885 in Toulouse and then went back to his original university, the ENS. Since the time in Toulouse, he produced numerous publications on various areas of analysis. From lecturing at the ENS was his famous Cours d'analyze mathématique, which appeared in 1902 and 1913 in three volumes and for which he is best known. Goursat in 1919 was admitted to the Académie des sciences, after he had been elected in 1918 foreign member of the Accademia Nazionale dei Lincei in Rome.

According to him, the lemma was named by Goursat.

Writings

• Cours d'analyze mathématique, 3 vols, Paris, Gauthier -Villars, the first two volumes appeared in 1902 and 1905, the second edition with three volumes published from 1910 to 1913, 7th edition, 1949 ( Volume 1: Dérivées et differential Intégrales définies. .. . Développement en séries Applications géométriques Volume 2:. . Théorie des fonctions analytiques differential equations Equations aux dérivées partial Éléments du calcul variations Volume 3: .. Intégrales infiniment Voisines, Equations aux dérivées partial du second ordre, Equations intégrales, Calcul des variations ) English Translation by Earle Raymond Hedrick: A course in mathematical analysis, Boston, Ginn and Company, 1904-1917 and Dover, 1959, 2005, 3 volumes ( Volume 1: derivative and differential: Definite integrals.Expansion in series Applications to geometry band.. 2-1: Functions of a complex variable, Volume 2-2: differential equations, Volume 3-1: Variations of solution: partial differential equations of the second order, Volume 3-2: Integral equations: calculus of variations ), O ' Connor and Robertson ( McTutor archive) Cours d'Analyse of Goursat with content