Difference between revisions of "Number theory"
(major edits to Intro section and Interm section) |
(→Intermediate Topics: added euclidean) |
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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]]. | 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]]. | ||
* [[Diophantine equations]] | * [[Diophantine equations]] | ||
| + | * [[Euclidean algorithm]] | ||
* [[Modular arithmetic]] | * [[Modular arithmetic]] | ||
** [[Euler's Totient Theorem]] | ** [[Euler's Totient Theorem]] | ||
** [[Fermat's Little Theorem]] | ** [[Fermat's Little Theorem]] | ||
** [[Wilson's Theorem]] | ** [[Wilson's Theorem]] | ||
| − | |||
== Olympiad Topics == | == Olympiad Topics == | ||
Revision as of 14:25, 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.
