Algebra Overview
On Brilliant, you can explore Algebra at any level, from basic equations through Vieta root jumping. Whether you're looking for practice problems for school math and Olympiad competition topics, or for advanced, open-ended challenges, we have something here for you. The collection of Brilliant problems and articles is large and growing.
Contents
The Best of Algebra on Brilliant
Within Algebra, you can learn about wide-ranging topics such as:
Algebra Topics
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| Algebraic Expressions |
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| Complex Numbers |
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| Linear Equations |
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| Arithmetic and Geometric Progressions |
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| Quadratic Equations |
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| Induction |
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| Polynomials |
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| Advanced Polynomials |
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| Inequalities |
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| Advanced Equations |
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| Functions |
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| Classical Inequalities |
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| Exponential & Logarithmic Functions |
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Pre-Collegiate Algebra
Brilliant's article collection is expanding to cover every topic you might encounter in any pre-collegiate math course. In most topic areas, we cover the content in much more depth than traditional grade-school standards, with a focus on real understanding instead of memorization.
The most popular pre-collegiate math topics on Brilliant are:
Collegiate and Beyond
Our goal is to be able to challenge any student in the world with math that stretches their skills. The topics below are at the collegiate level or beyond, including some math topics that you likely wouldn't see in school unless you majored in math.
| De Moivre's Theorem | Vietta's Formula | The Cauchy-Schwarz Inequality | Newton's Identities | Jensen's Inequality | Gaussian Integers |
And that's only the tip of the iceberg. There's much more advanced algebra on Brilliant, and if you don't see a page that you think we should have, please contribute it.
Competitions, Exams and Olympiads
Whether you're just beginning to study for your first math competition, or if you're a pro aiming for a perfect score, Brilliant is a resource for every trick and topic that you might be looking for. The competitions and exams that Brilliant can help you study for include:
International Math Competitions
- IMO
- IMC
- Mathematical Kangaroo
USA Math Exams and Competitions
- AIME
- AMC8 / AMC10 / AMC12
- AP Exams (AB Calculus, BC Calculus)
- ARML
- MATHCOUNTS
- MOEMS
- SAT
- USAMO
- USAJMO
- USAMTS
Indian Math Exams and Competitions
- RMO
- KVPY
- IIT JEE