Difference between revisions of "Inequality"

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The subject of mathematical '''inequalities''' is tied closely with [[optimization]] methods.  While most of the subject of inequalities is often left out of the ordinary educational track, they are common in [[mathematics Olympiads]].
 
The subject of mathematical '''inequalities''' is tied closely with [[optimization]] methods.  While most of the subject of inequalities is often left out of the ordinary educational track, they are common in [[mathematics Olympiads]].
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== Motivation ==
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We say that ''a>b'' (or, equivalently, ''b<a'') if ''a'' and ''b'' are [[real number]]s, and ''a-b'' is a [[positive number]]. However, there are many inequalities thare are much more interesting and also very important, such as the ones listed below.
  
  

Revision as of 01:13, 20 June 2006

The subject of mathematical inequalities is tied closely with optimization methods. While most of the subject of inequalities is often left out of the ordinary educational track, they are common in mathematics Olympiads.


Motivation

We say that a>b (or, equivalently, b<a) if a and b are real numbers, and a-b is a positive number. However, there are many inequalities thare are much more interesting and also very important, such as the ones listed below.


Famous inequalities

Here are some of the more famous and useful inequalities, as well as general inequalities topics.

Problem solving tactics

substitution, telescoping, induction, etc. (write me please!)


Resources

Books

Intermediate

Olympiad

Articles

Olympiad


Classes

Olympiad


See also