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Infinite Series
How Infinity Explains the Finite
Season 1
Episode 11
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
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8:16
The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.
9:36
How can two people share the same key without someone else getting a hold of it?
6:47
Encryption isn’t really about factoring or prime numbers. What is it about?
11:19
Why is there a hexagonal structure in honeycombs? Why not squares?
14:24
The answer lies in the weirdness of floating-point numbers and the computer's perception..
12:04
The theory of social networks allows us to mathematically model and analyze..
