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Number Theory: Fermat’s Last Theorem

  • Reinhard Laubenbacher
  • David Pengelley
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

On June 24, 1993, the New York Times ran a front-page story with the headline “At Last, Shout of ‘Eureka!’ In Age-Old Math Mystery.” The proverbial shout of “Eureka!” had echoed across the campus of Cambridge University, England, just the day before. At the end of a series of lectures at a small conference on the arcane subjects of “p-adic Galois Representations, Iwasawa Theory, and the Tamagawa Numbers of Motives,” Princeton mathematician Andrew Wiles mentioned, almost as an afterthought, that the results he had presented implied, as a corollary, that Fermat’s Last Theorem was true. Via telephone and electronic mail, the news of what many mathematicians called the most exciting event in twentieth-century mathematics spread around the globe almost instantly. We will return to these developments again at the end of this introductory section.

Keywords

Number Theory Prime Number Unique Factorization Great Common Divisor Algebraic Number Theory 
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.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Reinhard Laubenbacher
    • 1
  • David Pengelley
    • 1
  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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