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

The eight-volume collected works (1881–91), in German, Latin and French, of Carl Jacobi (1804–51), the great nineteenth-century mathematician.

Carl Gustav Jacob Jacobi (Author), Karl Weierstrass (Edited by)

9781108059275, Cambridge University Press

Paperback / softback, published 18 April 2013

552 pages
29.7 x 21 x 2.8 cm, 1.31 kg

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 4 appeared in 1886.

1. Ueber die Integration der partiellen Differentialgleichungen erster Ordnung
2. Ueber die Pfaff'sche Methode, eine gewöhnliche lineare Differentialgleichungen zwischen 2n Variabeln
3. Bemerkung zu der Abhandlung des Herrn Prof. Scherk
4. Sur le mouvement d'un point et sur un cas particulier du problème des trois corps
5. Zur Theorie der Variationsrechnung und der Differentialgleichungen
6. Ueber die Reduction der Integration der partiellen Differentialgleichungen erster Ordnung
7. Note sur l'intégration des équations différentielles de la dynamique
8. Neues Theorem der analytischen Mechanik
9. Sur un théorème de Poisson
10. Dilucidationes de aequationum differentialium vulgarium systematis
11. De integratione aequationis differentialis
12. De motu puncti singularis
13. Sur un nouveau principe de la méchanique analytique
14. Sur l'élimination des noeuds dans le problème des trois corps
15. Zusatz zu der vorhergehenden Abhandlung
16. Theoria novi multiplicatoris systemati aequationum differentalium vulgarium applicandi
17. Sul principio dell'ultimo moltiplicatore e suo uso come nuovo principio generale de meccanica
18. Zwei Beispiele zur neuen Methode der Dynamik
Nachlass.

Subject Areas: History of mathematics [PBX]