Advertisement

Fermat’s Last Theorem

  • Steven G. Krantz
  • Harold R. Parks
Chapter

Abstract

Sometime during 1637 Pierre de Fermat (1601–1665) wrote in the margin of a book the assertion that he had found a truly marvelous proof of the following result:

Keywords

Unit Circle Rational Number Elliptic Curve Rational Point Elliptic Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References and Further Reading

  1. [Acz 96]
    Aczek, A.D.: Fermat’s Last Theorem: Unlocking the Secret of An Ancient Mathematical Problem. Four Walls Eight Windows, New York (1996)Google Scholar
  2. [CSS 97]
    Cornell, G., Silverman, J.H., Stevens, G. (eds.): Modular Forms and Fermat’s Last Theorem. Springer, New York (1997)MATHGoogle Scholar
  3. [DS 05]
    Diamond F., Shurman, J.: A First Course in Modular Forms. Springer, New York (2005)MATHGoogle Scholar
  4. [Dic 52]
    Dickson, L.E.: History of the Theory of Numbers. In: Diophantine Analysis, vol. II. Chelsea, New York (1952)Google Scholar
  5. [Hel 02]
    Hellegouarch, Y.: Invitation to the Mathematics of Fermat–Wiles. Academic, San Diego (2002)MATHGoogle Scholar
  6. [Hus 87]
    Husemöller, D.: Elliptic Curves. Springer, New York (1987)CrossRefGoogle Scholar
  7. [Kle 00]
    Kleiner, I.: From fermat to wiles: Fermat’s last theorem becomes a theorem. Elemente der Mathematik 55, 19–37 (2000)CrossRefMATHMathSciNetGoogle Scholar
  8. [Kob 93]
    Koblitz, N.I.: Introduction to Elliptic Curves and Modular Forms. 2nd edn. Springer, New York (1993)CrossRefMATHGoogle Scholar
  9. [Miy 89]
    Miyake, T.: Modular Forms. Springer, New York (1989)CrossRefMATHGoogle Scholar
  10. [Moz 00]
    Mozzochi, C.J.: The Fermat Diary. American Mathematical Society, Providence (2000)MATHGoogle Scholar
  11. [ST 92]
    Silverman, J.H., Tate, Jr. J.T.: Rational Points on Elliptic Curves. Springer, New York (1992)CrossRefMATHGoogle Scholar
  12. [Sin 97]
    Singh, S: Fermat’s Enigma. Walker and Company, New York (1997)MATHGoogle Scholar
  13. [Was 03]
    Washington, L.C.: Elliptic Curves: Number Theory and Cryptography. Chapman & Hall/CRC, Boca Raton (2003)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Steven G. Krantz
    • 1
  • Harold R. Parks
    • 2
  1. 1.Department of MathematicsWashington University in St. LouisSt. LouisUSA
  2. 2.Department of MathematicsOregon State UniversityCorvalisUSA

Personalised recommendations