Journey into Maths Country
Math is an exotic and confusing country. We speak a bizarre language, full of homeomorphisms, differential varieties, transfinite numbers. But we also find epic landscapes, dizzying ideas and even, sometimes, useful things!
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Cast
Seasons
1.Benford’s Law
23-09-202110mFrank Benford observed that the number one seems to pop up a lot in both in the supermarket and on tax bills. In understanding this law, it helps to simply look at the world from a...
2.Newton and the Infinitesimal Calculation
23-09-202110mSpeed is such a common term that it's easy to forget how much of a role maths plays in understanding it. Until three or four centuries ago, there was no speed at all. It was only s...
3.To Infinity, and Beyond
23-09-202110mA circle is also a triangle and a triangle is a square. Sound impossible? Not in the realm of topology, which even applies to 3-dimensional spaces and anything from donuts, UFOs an...
4.On the Road to Infinity
23-09-202110mIn this episode of our travels in the land of maths, we are heading towards Infinity. And even beyond, because infinity comes in many sizes. That may seem strange, but Georg Kantor...
5.Gödel’s Theorem
23-09-202110mIn this episode, we look at the relationship between maths and truth. Maths is meant to be certain, either right or wrong. Turns out, it’s not that simple. For Gödel's theorem has...
6.The Prisoner’s Dilemma
23-09-202110mTwo prisoners must choose between cooperation and betrayal without consulting each other. This famous prisoner's dilemma that will take us to the heart of game theory. We think mat...
7.The Game of Life
23-09-202110mIn October 1970 Scientific American magazine introduced a game under the heading “Mathematical Games” that quickly became a cult classic. The idea behind John Conway’s “Game of Lif...
8.Irrationality
23-09-202110m25 centuries ago, the well-ordered world of natural integers and fractions had to expand to accommodate monsters like π and √2. It's a dizzying mathematical expedition where we wil...
9.A Complex Picnic
23-09-202110mWe have known for a long time that some equations can't be solved as the answers are numbers that don't exist. Fortunately, a slew of mathematicians have uncovered a new field of n...
10.The Riemann Hypopthesis
30-09-202110mEnd of the trips in the land of math with an arduous hike. It is better to be strong on the complex plane. Because it is about an unsolved mystery of mathematics, namely: the distr...
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