C. G. J. Jacobi's Gesammelte Werke Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften Coll. C. G. J. Jacobi's Gesammelte Werke 8 Volume Set

One of the greatest mathematicians of the nineteenth century, Carl Gustav Jacob Jacobi (1804?51) burst into the limelight with his redevelopment, together with Niels Henrik Abel (1802?29), of the theory of elliptic functions. His pioneering work was characterised by the variety of problems tackled and the power of the tools used to tackle them. His lasting influence on rational mechanics, number theory, partial differential equations, complex variable theory and computation is marked by the number of fundamental concepts that bear his name (the Jacobian, the Jacobi sum and the Jacobi symbol, among others). His collected works, comprising treatises, letters and papers written in German, Latin and French, were published in eight volumes between 1881 and 1891. Edited by fellow German mathematician Carl Wilhelm Borchardt (1817?80), Volume 1 appeared in 1881.

Vorrede; 1. Gedächtnissrede auf Carl Gustav Jacob Jacobi von Lejeune Dirichlet; 2. Extrait de deux lettres de M. Jacobi de l'université de Koenigsberg à M. Schumacher; 3. Demonstratio theorematis ad theoriam functionum ellipticarum spectantis; 4. Fundamenta nova theoriae functionum ellipticarum; 5. Addition au mémoire de M. Abel sur les fonctions elliptiques; 6. Note sur la décomposition d'un nombre donné en quatre carrés; 7. Notice sure les fonctions elliptiques; 8. Ueber die Anwendung der elliptischen Transcendenten auf ein bekanntes Problem der Elementar-Geometrie; 9. De functionibus ellipticis commentatio prima et altera; 10. Note sur une nouvelle application de l'analyse des fonctions elliptiques à l'algèbre; 11. Formulae novae in theoria transcendentium ellipticarum fundamentales; 12. Ueber die zur numerischen Berechnung der elliptischen Functionen zweckmässigsten Formeln; 13. Ueber einige die elliptischen Functionen betreffenden Formeln; 14. Anzeige von legendre; Nachlass.