Difference between revisions of "Modular arithmetic"
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'''Modular arithmetic''' is a special type of arithmetic that involves only [[integers]]. Since modular arithmetic is such a broadly useful tool in [[number theory]], we divide its explanations into several levels: | '''Modular arithmetic''' is a special type of arithmetic that involves only [[integers]]. Since modular arithmetic is such a broadly useful tool in [[number theory]], we divide its explanations into several levels: | ||
| − | * [[Introduction to modular arithmetic]] | + | * [[Modular arithmetic/Introduction|Introduction to modular arithmetic]] |
* [[Intermediate modular arithmetic]] | * [[Intermediate modular arithmetic]] | ||
* [[Olympiad modular arithmetic]] | * [[Olympiad modular arithmetic]] | ||
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== Resources == | == Resources == | ||
=== Introductory Resources === | === Introductory Resources === | ||
| + | ==== Books ==== | ||
* The AoPS [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=10 Introduction to Number Theory] by [[Mathew Crawford]]. | * The AoPS [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=10 Introduction to Number Theory] by [[Mathew Crawford]]. | ||
| + | ==== Classes ==== | ||
| + | * [http://www.artofproblemsolving.com/Classes/AoPS_C_ClassesS.php#begnum AoPS Introduction to Number Theory Course] | ||
| + | |||
=== Intermediate Resources === | === Intermediate Resources === | ||
* [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Number Theory Problems and Notes] by [[Naoki Sato]]. | * [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Number Theory Problems and Notes] by [[Naoki Sato]]. | ||
| + | |||
=== Olympiad Resources === | === Olympiad Resources === | ||
* [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Number Theory Problems and Notes] by [[Naoki Sato]]. | * [http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf Number Theory Problems and Notes] by [[Naoki Sato]]. | ||
Latest revision as of 12:25, 20 December 2024
Modular arithmetic is a special type of arithmetic that involves only integers. Since modular arithmetic is such a broadly useful tool in number theory, we divide its explanations into several levels:
Contents
Resources
Introductory Resources
Books
- The AoPS Introduction to Number Theory by Mathew Crawford.
