Difference between revisions of "Number theory"
(rewrote much of Olympiad Topics) |
(added division theorem to intro list) |
||
| Line 16: | Line 16: | ||
*** [[Common multiple]]s | *** [[Common multiple]]s | ||
**** [[Least common multiple]]s | **** [[Least common multiple]]s | ||
| + | * [[Division Theorem]] (the Division Algorithm) | ||
* [[Base numbers]] | * [[Base numbers]] | ||
* [[Diophantine equations]] | * [[Diophantine equations]] | ||
Revision as of 23:31, 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.
- Primes
- Composite numbers
- Divisibility
- Division Theorem (the Division Algorithm)
- Base numbers
- Diophantine equations
- Modular arithmetic
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.
