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Paolo Ruffini's contributions to the quintic

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Bibliography

  1. H. Lebesgue, Notices d'Histoire des Mathématiques, Monographies de L'Enseignement Mathématique, No. 4.

  2. P. Ruffini, Opere Matematiche, 3 vols., especially vol. 1, pp. 159–186, and vol. 3., Edited by E. Bortolotti, Palermo 1915.

  3. H. Burkhardt, Die Anfänge der Gruppentheorie und Paolo Ruffini, Zeitschrift für Mathematik und Physik, vol. 37, 1892, pp. 122–160.

    Google Scholar 

  4. J.-L. Lagrange, Collected Works, vol. 3, pp. 205–421, Paris 1869.

    Google Scholar 

  5. L. Euler, Collected Works, Series 1, vol. 6, Basel 1921, pp. 1–20 and pp. 170–197.

    Google Scholar 

  6. E. Galois, Ecrits et Mémoires Mathématiques, Gauthier-Villars, Paris, 1962.

    Google Scholar 

  7. N. H. Abel, Collected Works, vol. 1, pp. 28–34; pp. 66–87, vol. 2, pp. 217–244. Christiana 1881.

    Google Scholar 

  8. K F. Gauss, Collected Works, vol. 3. Göttingen 1876, pp. 7–56.

    Google Scholar 

  9. E. Waring, Meditationes Algebraicae. Cambridge 1770.

  10. E. Bézout, Sur la résolution generale des équations de tous degrés. Paris 1765.

  11. G. Barbensi, P. Ruffini, Florence, 1952.

  12. C. A. Bjerknes, Nels-Henrik Abel, Paris, 1885.

  13. A.-T. Vandermonde, Histoire de l'académie des Sciences 1771, pp. 365–416.

  14. E. W. V. Tschirnhausen, Nova Methodus ... Acta Eruditorium, vol. 2, 1683, p. 204. (See however, Burnside & Panton, Theory of Equations, Dublin 1904, vol. 2, p. 169.)

    Google Scholar 

  15. P. L. Wantzel, De l'impossibilité de résoudre les équations algébriques avec les radicaux, Nouvelles Annales de Mathématiques pures et appliqués, vol. 4, 1845.

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Communicated by A. Seidenberg

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Ayoub, R.G. Paolo Ruffini's contributions to the quintic. Archive for History of Exact Sciences 23, 253–277 (1980). https://doi.org/10.1007/BF00357046

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