The "To Keep Up" Wiki

• Mathematicians Use Numbers Differently From The Rest of Us, by Muller
• p-adics, by Eric Rowland

Build up a-dics in small steps.

• Background:
• Pythagorean Triples – Charlie knows how to generate them
• number systems w/different bases
• harmonic series, summation, simple to prove; Muller uses the summation. And he uses the series as a familiar illustration of convergence to the right to contrast the possibility of 10-adic convergence to the left. And the same for 3-adic numbers.
• Diophantine equations
• Modulo arithmetic

Mark Rober's Commencement Speech (20m)