Difference between revisions of "Number theory/Intermediate"
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| − | An intermediate level study of [[number theory]] | + | 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]]: |
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* [[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 == | == Resources == | ||
=== Classes === | === Classes === | ||
| − | * [ | + | * [https://artofproblemsolving.com/school/course/intermediate-numbertheory AoPS Intermediate Number Theory] |
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== See also == | == See also == | ||
* [[Number theory]] | * [[Number theory]] | ||
* [[Number theory/Introduction | Introductory number theory]] | * [[Number theory/Introduction | Introductory number theory]] | ||
| + | * [[Number theory/Advanced topics | Advanced topics in number theory]] | ||
* [[Number theory/Olympiad | Olympiad number theory]] | * [[Number theory/Olympiad | Olympiad number theory]] | ||
Latest revision as of 16:21, 1 September 2024
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:
