Difference between revisions of "User:Temperal/The Problem Solver's Resource8"

(<span style="font-size:20px; color: blue;">Intermediate Number Theory</span>)
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{{User:Temperal/testtemplate|page 8}}
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==<span style="font-size:20px; color: blue;">Geometry</span>==
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This is the geometry page. Of course, there is much too much to cover here, but this will review the basics.
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==<span style="font-size:20px; color: blue;">Intermediate Number Theory</span>==
 
These are more complex number theory theorems that may turn up on the USAMO or Pre-Olympiad tests.
 
This will also cover diverging and converging series, and other such calculus-related topics.
 
 
 
==Useful facts and Formulas==
 
All quadratic resiues are 0 or 1<math>\pmod{4}</math>and  0,1, or 4 <math>\pmod{8}</math>.
 
Fermat-Euler Identitity-If <math>gcd(a,m)=1</math>, then <math>a^{\phi{m}}\equiv1\pmod{m}</math>, where <math>\phi{m}</math> is the number of relitvely prime  numbers lower than <math>m</math>.
 
  
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This will be completed later.
  
 
[[User:Temperal/The Problem Solver's Resource7|Back to page 7]] | [[User:Temperal/The Problem Solver's Resource9|Continue to page 9]]
 
[[User:Temperal/The Problem Solver's Resource7|Back to page 7]] | [[User:Temperal/The Problem Solver's Resource9|Continue to page 9]]
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Latest revision as of 19:20, 10 January 2009

Introduction | Other Tips and Tricks | Methods of Proof | You are currently viewing page 8.

Geometry

This is the geometry page. Of course, there is much too much to cover here, but this will review the basics.

This will be completed later.

Back to page 7 | Continue to page 9