Inequality

Revision as of 13:17, 29 April 2007 by Boy Soprano II (talk | contribs) (Famous inequalities: added Nesbitt)

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 that are much more interesting and also very important, such as the ones listed below.


Introductory


Intermediate

Example Problems


Olympiad

See the list of famous inequalities 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