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Group Theory

Category: Advanced Math

This exploration explores group theory at the university level, but is uniquely motivated through symmetries, applications, and challenging problems. For example, before diving into the technical axioms, we'll explore their motivation through geometric symmetries. And after some formalism, we'll explore games like the Rubik's cube through the lens of group theory. You'll be left with a deep understanding of how group theory works and why it matters.

What is this?
A collection of interactive quizzes that will help you master group theory, written by experts and guided by Brilliant.org's 10 Principles for Learning.

Who is this for?
This exploration is for people looking for a first course in group theory at the university level, taught through illuminating examples rather than dry definitions.

What should I know?
The only prerequisite is the willingness to engage with mathematical abstraction.

What's inside?
Over 20 quizzes, containing about 250 carefully crafted guided problems and explanations. It will take approximately 20-30 hours to complete.

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