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)

9781108059268, Cambridge University Press

Paperback / softback, published 18 April 2013

626 pages
29.7 x 21 x 3.2 cm, 1.48 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 3 appeared in 1884.

Vorwort
1. Disquisitiones analyticae de fractionibus simplicibus
2. Ueber die Haptaxen der Flächen der zweiten Ordnung
3. De singulari quadam duplicis integralis transformatione
4. Exercitatio algebraica circa discerptionem singularem fractionum
5. De transformatione integralis duplicis indefiniti
6. De transformatione et determinatione integralium duplicium commentatio tertia
7. De binis quibuslibet functionibus homogeneis secundi ordinis
8. Observatiunculae ad theoriam aequationum algebraicarum pertinentes
9. Theoremata nova algebraica circa systema duarum aequationum inter duas variabiles propositarum
10. De eliminatione variabilis e duabus aequationibus algebraicis
11. De integralibus quibusdam duplicibus
12. De relationibus, quae locum habere debent inter puncta
13. De formatione et proprietatibus determinantium
14. De determinantibus functionalibus
15. De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum
16. Zur combinatorischen Analysis
17. Sulla condizione di uguaglianza di due radici dell' equazione cubica
18. Ueber eine neue Auflösungsart der bei der Methode der kleinsten Quadrate vorkommenden linearen Gleichungen
19. Ueber die Darstellung einer Reihe gegebener Werthe durch eine gebrochene rationale Function
20. Extrait d'une lettre adressée à M. Liouville
21. Ueber die Anzahl der Doppeltangenten ebener algebraischer Curven
22. Auszug dreier Schreiben von Herrn Prof. Hesse und eines Schreibens an Herrn Prof. Hesse
Nachlass.

Subject Areas: History of mathematics [PBX]