Advertisement

Fermat’s and Euler’s Theorems

  • Lindsay N. Childs
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Pierre de Fermat (1601–1666) was a public official in the French city of Toulouse, and in his spare time was one of the greatest mathematicians of the seventeenth century. Fermat’s “little theorem,” as generalized by Euler a century later, is perhaps the first theorem in what is now known as group theory. But it also has some remarkably interesting applications. We present theorem and related theory in this chapter and some applications in the next.

Keywords

Abelian Group Nonzero Element Commutative Ring Generalize Associativity Multiplication Table 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Lindsay N. Childs
    • 1
  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

Personalised recommendations