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Look Inside C. G. J. Jacobi's Gesammelte Werke

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

Volume 2

$67.00

Part of Cambridge Library Collection - Mathematics

  • Date Published: April 2013
  • availability: Available
  • format: Paperback
  • isbn: 9781108059251

$ 67.00
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About the Authors
  • 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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    Product details

    • Date Published: April 2013
    • format: Paperback
    • isbn: 9781108059251
    • length: 540 pages
    • dimensions: 297 x 210 x 28 mm
    • weight: 1.28kg
    • availability: Available
  • Table of Contents

    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 geodätischen 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 Abéliennes
    10. Extrait de deux lettres de Ch. Hermite à C. G. J. Jacobi
    11. Extrait d'une lettre de Jacobi adressé à Hermite
    12. Ueber die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und höheren Transcendenten
    13. Ueber eine neue Methode zur Integration
    14. Notiz über A. Göpel
    15. Ueber die unmittelbare Verification einer Fundamentalformel der Theorie der elliptischen Functionen
    16. Ueber die partielle Differentialgleichung
    17. Ueber die Differentialgleichung
    18. Ueber eine particuläre Lösung 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.

  • Author

    Carl Gustav Jacob Jacobi

    Editor

    Karl Weierstrass

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