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Revision as of 11:49, 24 July 2006
In mathematics, algebra is the study of examining, manipulating, and solving equations, inequalities, and other mathematical expressions. Algebra revolves around the concept of the variable, an unknown quantity given a name and usually denoted by a letter or symbol. Many contest problems test one's fluency with algebraic manipulation. If this is not what you are looking for, you might try the page on abstract algebra.
Contents
Study Guides to Algebra
Intermediate Topics
Olympiad Topics
- Functions
- Inequalities
- Arithmetic Mean-Geometric Mean Inequality
- Cauchy-Schwarz Inequality
- Chebyshev's Inequality
- Geometric inequalities
- Hölder's Inequality
- Isoperimetric inequalities
- Jensen's Inequality
- Minkowski Inequality
- Muirhead's Inequality
- Power Mean Inequality
- Rearrangement Inequality
- Schur's Inequality
- Smoothing
- Triangle Inequality
- Trigonometric inequalities
- Trivial Inequality
