Difference between revisions of "Number theory"

(added division theorem to intro list)
(added Pell equations)
Line 28: Line 28:
 
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]]
 +
** [[Pell equation | Pell equations]]
 
** [[Simon's Favorite Factoring Trick]]
 
** [[Simon's Favorite Factoring Trick]]
 
* [[Euclidean algorithm]]
 
* [[Euclidean algorithm]]
Line 41: Line 42:
 
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]]
 +
** [[Pell equation | Pell equations]]
 
** [[Simon's Favorite Factoring Trick]]
 
** [[Simon's Favorite Factoring Trick]]
 
* [[Modular arithmetic]]
 
* [[Modular arithmetic]]

Revision as of 15:55, 22 June 2006