Difference between revisions of "Algebra/Olympiad"
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* [[Algebra/Introduction | Introductory Algebra]] | * [[Algebra/Introduction | Introductory Algebra]] | ||
* [[Algebra/Intermediate | Intermediate Algebra]] | * [[Algebra/Intermediate | Intermediate Algebra]] | ||
| + | * [[Algebra/Advanced | Advanced Algebra]] | ||
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[[Category:Olympiad Mathematics Topics]] | [[Category:Olympiad Mathematics Topics]] | ||
Revision as of 15:21, 18 May 2021
An olympiad level study of algebra involves familiarity with intermediate topics to a high level, a few new topics, and a highly developed proof writing ability.
- 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
