Math Fun · Level 2
Infinity
Expand your mind with the paradoxes and beauties of infinity.
What's Infinite?
How to Count to Infinity
Visualizing Infinity
Cardinality
Countably Infinite
Cantor's Quest
Hilbert's Infinite Hotel
Subsets
Cantor's Theorem
Infinite Areas
Infinite Sums
The Koch Snowflake
More Fractals
Course description
Reckoning with infinity is one of the major accomplishments of mathematics. Start with basic counting and work your way up to the many types of infinity, culminating in the profundity of Cantor's theorem. Explore the stunning beauty of fractals, where it's turtles all the way down, and tesselations in hyperbolic space, where the infinitely large is bounded by a simple circle.
Topics covered
- cardinality
- subsets
- Cantor's theorem
- real numbers
- fractals
- infinite sums
- spherical geometry
- hyperbolic geometry
Prerequisites
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Math History
Learn math alongside the people who invented and discovered it.
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