C. G. J. Jacobi's Gesammelte Werke

Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften

Carl Gustav Jacob Jacobi (Autor)

Buch | Softcover

626 Seiten

2013
Cambridge University Press (Verlag)
978-1-108-05926-8 (ISBN)

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One of the nineteenth century's greatest mathematicians, Carl Jacobi (1804–51) did important work on elliptic functions, rational mechanics, number theory and partial differential equations. His collected works, comprising treatises, letters and papers written in German, Latin and French, were published in eight volumes between 1881 and 1891.

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.

Erscheint lt. Verlag	18.4.2013
Reihe/Serie	Cambridge Library Collection - Mathematics ; Volume 3
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	deutsch
Maße	210 x 297 mm
Gewicht	1480 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
ISBN-10	1-108-05926-0 / 1108059260
ISBN-13	978-1-108-05926-8 / 9781108059268
Zustand	Neuware