THE second volume of Brioschi's works contains thirty-five papers contributed to the Annali di Matematica Jtura ed applicata series 1 and series 2, vols. i.—xiv. between the years 1858 and 1887. These papers have all been carefully revised by Profs. Cerruti (Rome), Gerbaldi (Palermo), Loria (Genoa), Pascal (Pavia), Pittarelli (Rome)} Reina (Rome) and Tonelli (Rome). A considerable number of them deal with linear differential equations, bujt elliptic and hyperelliptic functions, curvilinear coordinates, binary forms and many other subjects are treated; and the papers also oinclude obituary notices of Borehardt and Chasles.