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 Karl Weierstrass (1815?97), Volume 5 appeared in 1890.

Vorwort; 1. Nova methodus aequationes differentiales partiales primi ordinis inter numerum variabilium quemcunque propositas integrandi; 2. De investigando ordine sytematis aequationum differentialium vulgarium cuiuscunque; 3. Ueber diejenigen Probleme der Mechanik; 4. Ueber die vollständigen Lösungen einer partiellen Differentialgleichungen erster Ordnung; 5. Ueber die Integration der partiellen Differentialgleichungen erster Ordnung zwischen vier Variabeln; 6. De aequationum differentialium isoperimetricarum transformationibus earumque reductione ad aequationem differentialem primi ordinis non linearem; 7. De aequationum differentialium systemate non normali ad formam normalem revocando; 8. Anmerkungen des Herausgebers.