Algebra/Olympiad
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