S2015 E1 • Understanding e to the pi i

The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another.

Première diffusion : 4 mars 2015

S2015 E2 • A Curious Pattern Indeed

A teaser for some future videos regarding a pattern which lures an unsuspecting doodler into thinking it will be powers of two.

Première diffusion : 4 novembre 2015

S2015 E3 • Circle Division Solution

An explanation of a neat circle puzzle involving combinatorics, graphs, Euler's characteristic formula and pascal's triangle.

Première diffusion : 23 mai 2015

S2015 E4 • Euler's Formula and Graph Duality

A description of planar graph duality, and how it can be applied in a particularly elegant proof of Euler's Characteristic Formula.

Première diffusion : 20 juin 2015

S2015 E5 • What does it feel like to invent math?

An exploration of infinite sums, from convergent to divergent, including a brief introduction to the 2-adic metric, all themed on that cycle between discovery and invention in math.

Première diffusion : 13 août 2015

S2015 E6 • How to count to 1000 on two hands

Typically when we think of counting on two hands, we count up to 10, but fingers can contain much more information than that! This video shows how to think about counting in binary.

Première diffusion : 18 septembre 2015

S2015 E7 • Music And Measure Theory

A connection between a classical puzzle about rational numbers and what makes music harmonious.

Première diffusion : 3 octobre 2015