Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions, et réduits à l'analyse algébrique des quantités finies. 4to: [4]-viii-277-[1] pp. (some ff. age-toned, some spotting or foxing, ink stain on pp. 37-42, marg. damp stains, tear strengthened to p. 193). - First edition of this work that may regarded as the starting point of the theory of functions. Lagrange (1736-1813) intended to show that power series expansions are sufficient to provide differential calculus with a solid foundation,that conception dominated the study of the functions of a complex variable throughout the 19th century. - Prov. 1st prize in mathematics awarded to Marie Nicolas Tirant, student to the École centrale du département de la Marne, 1st September 1798 (label).