Archive for History of Exact Sciences

, Volume 62, Issue 4, pp 349–392 | Cite as

Unpublished manuscripts of Sophie Germain and a revaluation of her work on Fermat’s Last Theorem

  • Andrea Del CentinaEmail author


Published here, and discussed, are some manuscripts and a letter of Sophie Germain concerning her work on Fermat’s Last theorem. These autographs, held at Bibliothèque Nationale of Paris, at the Moreniana Library of Florence and at the University Library of Göttingen, contribute to a substantial revaluation of her work on this subject.


Fermat Prime Number Unpublished Manuscript Primitive Root Quadratic Residue 
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  1. Adleman L.M., Heath-Brown D.R. (1985). The first case of Fermat’s last theorem. Invent. Math. 79: 409–416CrossRefMathSciNetzbMATHGoogle Scholar
  2. Boncompagni B. 1880. Cinq letters de Sophie Germain à Charles-Frederic Gauss. Arch. Der Math. Phys., 63, 27–31, 66, 3–10.Google Scholar
  3. Bucciarelli L.L., Dworsky N. (1980). Sophie Germain, an essay in the History of the Theory of Elasticity. D. Reidel, DordrechtzbMATHGoogle Scholar
  4. Del Centina A. (2005). Letters of Sophie Germain preserved in Florence. Hist. Math. 32: 60–75CrossRefMathSciNetzbMATHGoogle Scholar
  5. Dickson L.E. 1908. On the last theorem of Fermat. Messenger Math., 38, 14–32, and Quart. J. Pure Appl. Math., 40, 27–45.Google Scholar
  6. Edwards H.M. (1977). Fermat’s Last Theorem: A Genetic Introduction to Algebraic Number Theory. Springer, New YorkzbMATHGoogle Scholar
  7. Euler L. 1770. Vollständige Anleitung zur Algebra. 2 voll., St Petersburg. Also in: Opera Omnia, Ser. I, Vol. II. Teubner Leipzig 1911.Google Scholar
  8. Fermat P. 1891–1912. Œuvres de Fermat, Ed. C. Henry et P. Tannery, 4 voll., Paris.Google Scholar
  9. Fouvry E. (1985). Théorème de Brun–Titchmarsh. Application au théorème de Fermat. Invent. Math. 79: 383–407MathSciNetzbMATHGoogle Scholar
  10. Fuss P.-H. 1843. Correspondance mathématique et Physique. Imp. Ac. Sci. St. Petersburg, vol. I (reprint, Johnson Reprint Corp. New York and London 1968).Google Scholar
  11. Gandhi J.M. (1965). A note on Fermat’s last theorem. Math. Notae 20: 107–108MathSciNetzbMATHGoogle Scholar
  12. Gandhi J.M. (1966). On Fermat’s last theorem. Math. Gaz. 50: 36–37CrossRefMathSciNetzbMATHGoogle Scholar
  13. Gauss C.F. 1801. Disquisitiones Aritmethicae. French translation, Coursier Paris 1807.Google Scholar
  14. Gauss C.F. 1873. Werke II. Reprint by G. Olms Verlag, Hidesheim 1973.Google Scholar
  15. Legendre A.-M. 1823. Sur quelques objets d’analyse indéterminée et particu-lièrement sur le théorème de Fermat. Mém. Ac. R. Sc. de l’Institut de France, 6 (1827), 1–60. Also in: Second supplément, to 2sd ed. of Théorie des nombres. Coursier, Paris, 1808.Google Scholar
  16. Mahoney M.S. (1994), The Mathematical career of Pierre de Fermat, 1601–1665, 2nd ed. Princeton Univ. Press, PrincetonzbMATHGoogle Scholar
  17. Mazzochi, C.J. 2000. The Fermat Diary, A.M.S.Google Scholar
  18. Perisastri M. (1968). A note on Fermat’s last theorem. Amer. Math. Monthly 75: 170CrossRefMathSciNetGoogle Scholar
  19. Raina B.L. (1969). On Fermat’s last theorem. Amer. Math. Monthly 76: 49–51CrossRefMathSciNetzbMATHGoogle Scholar
  20. Ribenboim P. (1999). Fermat’s Last Theorem for Amateurs. Springer, New YorkzbMATHGoogle Scholar
  21. Sampson J.H. (1990). Sophie Germain and the theory of numbers. Arch. Hist. Exact Sci. 41: 157–161CrossRefMathSciNetzbMATHGoogle Scholar
  22. Stone D.E. (1963). On Fermat’s last theorem. Amer. Math. Monthly 60: 976–977CrossRefGoogle Scholar
  23. Stupuy H. 1896. Sophie Germain, Œuvres philosophiques. Nouv. ed. Ritti, Paris.Google Scholar
  24. Théboult V. (1953). A note on number theory. Amer. Math. Monthly 60: 322–323CrossRefMathSciNetGoogle Scholar
  25. Vandiver E.H. (1926). Note on trinomial congruences and the first case of Fermat’s last theorem. Ann. of Math. 27: 54–56CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di FerraraFerraraItaly

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