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In this course, you will :
- Expand your mind with the paradoxes and beauties of infinity.
- Reckoning with infinity is one of mathematics' most significant achievements.
- Simple counting and progress to the various types of infinity, culminating in the profundity of Cantor's theorem.
- Explore the stunning beauty of fractals, where the infinitely large is bounded by a simple circle, and tesselations in hyperbolic space, where the infinitely large is bounded by a simple circle.
Syllabus :
- Sizes of Infinity
- Cardinality
- Countably Infinite
- Cantor's Quest
- Hilbert's Infinite Hotel
- Subsets
- Cantor's Theorem
- Visual Infinities
- Infinite Areas
- Infinite Sums
- The Koch Snowflake
- More Fractals
- Hyperbolic Space
