Difference between revisions of "Modular arithmetic"

(added more resources (Naoki's))
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
 
'''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]]
Line 7: Line 7:
 
== 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 20:38, 19 July 2006

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:


Resources

Introductory Resources

Books

Classes

Intermediate Resources

Olympiad Resources