Difference between revisions of "Number theory"

(Famous Unsolved Number Theory Problems)
m (Diophantine equation link fix)
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* [[Division Theorem]] (the Division Algorithm)
 
* [[Division Theorem]] (the Division Algorithm)
 
* [[Base numbers]]
 
* [[Base numbers]]
* [[Diophantine equations]]
+
* [[Diophantine equation | Diophantine equations]]
 
** [[Simon's Favorite Factoring Trick]]
 
** [[Simon's Favorite Factoring Trick]]
 
* [[Modular arithmetic]]
 
* [[Modular arithmetic]]

Revision as of 10:14, 23 June 2006

Number theory is the field of mathematics associated with studying the integers.


Introductory Topics

The following topics make a good introduction to number theory.


Intermediate Topics

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.


Olympiad Topics

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.

Resources


Other Topics of Interest

These are other topics that aren't particularly important for competitions and problem solving, but are good to know.


Famous Unsolved Number Theory Problems