A Concrete Introduction to Higher Algebra pp 171-200 | Cite as

# Fermat's and Euler's Theorems

Chapter

Pierre de Fermat (1601–1665) 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. It also has some remarkably interesting applications. We present Fermat's theorem and related theory in this chapter and some applications in the next.

## Keywords

Prime Number Nonzero Element Multiplication Table Nonnegative Number Common Multiple
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.

## Copyright information

© Springer-Verlag Berlin Heidelberg 2009