Art of Problem Solving

Number theory/Intermediate: Difference between revisions

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An intermediate level study of [[number theory]] involves many of the topics of introductory number theory, but involves an infusion of [[mathematical problem solving]] as well as [[algebra]]:
An intermediate level study of [[number theory]] extends many of the topics of introductory number theory, but infuses [[mathematical problem solving]] as well as [[algebra]]:
 
* [[Diophantine equation | Diophantine equations]]
* [[Diophantine equation | Diophantine equations]]
** [[Diophantine Geometry]]
** [[Pell equation | Pell equations]]
** [[Pell equation | Pell equations]]
** [[Simon's Favorite Factoring Trick]]
** [[Simon's Favorite Factoring Trick]]
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*** [[Chinese Remainder Theorem]]
*** [[Chinese Remainder Theorem]]
** [[Euler's Totient Theorem]]
** [[Euler's Totient Theorem]]
*** [[totient function]]
** [[Fermat's Little Theorem]]
** [[Fermat's Little Theorem]]
** [[Wilson's Theorem]]
** [[Wilson's Theorem]]
*** [[Wilson Prime]]
== Resources ==
=== Classes ===
* [https://artofproblemsolving.com/school/course/intermediate-numbertheory  AoPS Intermediate Number Theory]
== See also ==
* [[Number theory]]
* [[Number theory/Introduction | Introductory number theory]]
* [[Number theory/Advanced topics | Advanced topics in number theory]]
* [[Number theory/Olympiad | Olympiad number theory]]
[[Category:Intermediate Mathematics Topics]]
[[Category:Number theory]]

Latest revision as of 16:21, 1 September 2024