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 2 appeared in 1882.
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Maße
Höhe: 297 mm
Breite: 210 mm
Dicke: 28 mm
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ISBN-13
978-1-108-05925-1 (9781108059251)
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Schweitzer Klassifikation
1. De theoremate Abeliano observatio; 2. Considerationes generales de transcendentibus Abelianis; 3. Ueber die Figur des Gleichgewichts; 4. De functionibus duarum variabilium quadrupliciter periodicis; 5. De usu theoriae integralium ellipticorum et integralium Abelianorum in analysi Diophantea; 6. Note von der geodaetischen Linie auf einem Ellipsoid; 7. Demonstratio nova theorematis Abeliani; 8. Ueber die Additions theoreme der Abelschen Integrale zweiter und dritter Gattung; 9. Note sur les fonctions Abeliennes; 10. Extrait de deux lettres de Ch. Hermite a C. G. J. Jacobi; 11. Extrait d'une lettre de Jacobi adresse a Hermite; 12. Ueber die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und hoeheren Transcendenten; 13. Ueber eine neue Methode zur Integration; 14. Notiz ueber A. Goepel; 15. Ueber die unmittelbare Verification einer Fundamentalformel der Theorie der elliptischen Functionen; 16. Ueber die partielle Differentialgleichung; 17. Ueber die Differentialgleichung; 18. Ueber eine particulaere Loesung der partiellen Differentialgleichung; 19. Ueber unendliche Reihen; 20. Sur la rotation d'un corps; 21. Auszug eines Schreibens von C. G. J. Jacobi an E. Heine; Nachlass.
