‎PICARD (E.)‎
‎Traité d'analyse -- 3 VOLUMES (complete set) -- BEL EXEMPLAIRE‎

‎P., Gauthier-Villars, 1893/1901, 3 volumes grand in 8, brochés, couvertures imprimées, T.1 : 15pp., 483pp., T.2 : 13pp., (1pp.), 512pp., T.3 : 14pp., (2), 568pp.‎

Reference : 4135

‎---- EDITION ORIGINALE à l'exception du tome 1 qui est en deuxième édition ---- BEL EXEMPLAIRE dans sa brochure imprimée d'origine ---- "A classic by the most distinguished French mathematician of his generation". (DSB) ---- "Picard's works were mostly in mathematical analysis and algebraic geometry. As early as 1878, he had studied the integrals of differential equations by making successive substitutions with equations having suitable partial derivatives. The following year he discovered the first of the two well-known theorems that bear his name... From 1883 to 1888, Picard extended Poincaré's investigations on automorphic functions to functions of two complex variables, which he called hyper-geometric and hyperfuchsian. These functions led Picard to study of algebraic surfaces (1901). Setting himself the task of studying the analogies between the theory of linear differential equations and the theory of algebraic equations, Picard took up Galois' theory and obtained for a linear differential equation a group of transformations now called the Picard group... By completing the earlier works, Picard made more precise the necessary conditions for the existence of the various types of equations. "These works, as well as many dispersed results found in notes, were assembled in Picard's three-volume Traité d'analyse, which immediately became a classic and was revised with each subsequent edition... Picard examined several specific cases before discussing his general theory". (DSB X p. 595) - Cajori**4135/N3‎