Notes:

Lagrange

(1) Born at Turin, January 25, 1736; died in Paris, April 10, 1813. As an Italian by birth, the name might be given as Guiseppe Luigi; but the family was originally French, affiliated to that of Descartes, and Lagrange spent the best years of his life in France. His complete works were published in Paris, 14 vols. (1866-1892), with a biography by Delambre in volume I. See also G. Loria, "G.L. Lagrange nella vita e nelle opere," in the Annali di Matematica pura ed applicata, XX (3), p. ix.

(2) Recherches sur la methode de maximis et minimis, Turin, 1759; Sur l'integration d'une equation differentielle a differences finies, qui contient la theorie des suites recurrentes, Turin, 1759. These appeared in the Miscellanea Taurinensia.

(3) "Sur la solution des problemes indetermines du second degre," published in the Miscellanea Taurinensia in 1767.

(4) Mecanique analytique, Paris, 1788.

(5) Lecons d'arithmetique et d'algebre, 1794-1795.

(6) Lecons sur le calcul des fonctions, Paris, 1801.

(7) Theorie des fonctions analytiques contenant les principes du calcul differentiel, Paris, 1797.

(8) Traite de la resolution des equations numeriques de tous degres, Paris, 1798.