Difference between revisions of "Number theory"
(→Intermediate Topics: added euclidean) |
(→Olympiad Topics) |
||
| Line 33: | Line 33: | ||
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. | 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]] | * [[Diophantine equations]] | ||
| − | * [[Euler's Theorem]] | + | * [[Euler's Totient Theorem]] |
* [[Fermat's Little Theorem]] | * [[Fermat's Little Theorem]] | ||
* [[Modular arithmetic]] | * [[Modular arithmetic]] | ||
* [[Wilson's Theorem]] | * [[Wilson's Theorem]] | ||
Revision as of 13:29, 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.
