Difference between revisions of "Number theory"
(added some subitems) |
(→Olympiad Topics: added Sato NT article) |
||
| Line 41: | Line 41: | ||
* [[Modular arithmetic]] | * [[Modular arithmetic]] | ||
* [[Wilson's Theorem]] | * [[Wilson's Theorem]] | ||
| + | |||
| + | === Resources === | ||
| + | |||
| + | * [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Number Theory by Naoki Sato] | ||
Revision as of 20:09, 19 June 2006
Number theory is the field of mathematics associated with studying the integers.
Introductory Topics
The following topics make a good introduction to number theory.
Intermediate Topics
An intermediate level of study involves many of the topics of introductory number theory, but involves an infusion of mathematical problem solving as well as algebra.
Olympiad Topics
An Olympiad level of study involves familiarity with intermediate topics to a high level, a few new topics, and a highly developed proof writing ability.
- Diophantine equations
- Euler's Totient Theorem
- Fermat's Little Theorem
- Modular arithmetic
- Wilson's Theorem
