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C. G. J. Jacobi's Gesammelte Werke

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

Part of Cambridge Library Collection - Mathematics

  • Date Published: April 2013
  • availability: Temporarily unavailable - available from TBC
  • format: Multiple copy pack
  • isbn: 9781108059329

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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.

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    Product details

    • Date Published: April 2013
    • format: Multiple copy pack
    • isbn: 9781108059329
    • dimensions: 297 x 210 mm
    • weight: 9.55kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    Volume 1: Vorrede
    1. Gedächtnissrede auf Carl Gustav Jacob Jacobi von Lejeune Dirichlet
    2. Extrait de deux lettres de M. Jacobi de l'université de Koenigsberg à M. Schumacher
    3. Demonstratio theorematis ad theoriam functionum ellipticarum spectantis
    4. Fundamenta nova theoriae functionum ellipticarum
    5. Addition au mémoire de M. Abel sur les fonctions elliptiques
    6. Note sur la décomposition d'un nombre donné en quatre carrés
    7. Notice sure les fonctions elliptiques
    8. Ueber die Anwendung der elliptischen Transcendenten auf ein bekanntes Problem der Elementar-Geometrie
    9. De functionibus ellipticis commentatio prima et altera
    10. Note sur une nouvelle application de l'analyse des fonctions elliptiques à l'algèbre
    11. Formulae novae in theoria transcendentium ellipticarum fundamentales
    12. Ueber die zur numerischen Berechnung der elliptischen Functionen zweckmässigsten Formeln
    13. Ueber einige die elliptischen Functionen betreffenden Formeln
    14. Anzeige von legendre
    Nachlass. Volume 2:
    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. Volume 3: 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. Volume 4:
    1. Ueber die Integration der partiellen Differentialgleichungen erster Ordnung
    2. Ueber die Pfaff'sche Method

  • Author

    Carl Gustav Jacob Jacobi

    Editors

    C. W. Borchardt

    Karl Weierstrass

    Eduard Lottner

    Alfred Clebsch

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