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Journey into Maths Country

2021-09-23 Documentary 8.5

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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Journey into Maths Country

Storyline

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!

  • First Aired
    2021-09-23
  • Last Aired
    2023-10-10
  • Creator
  • Genre
    Documentary
  • Seasons
    2
  • Episodes
    20
  • Status
    Returning Series
  • Language
    Français
  • Network
    arte.tv

Stream and watch Journey into Maths Country

  • Season 1
  • Season 2
Benford’s Law

1. Benford’s Law

Frank Benford observed that the number one seems to pop up a lot in both in the supermarket and on tax...More
Frank 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 different perspective.Less
10mins 2021-09-23
Newton and the Infinitesimal Calculation

2. Newton and the Infinitesimal Calculation

Speed is such a common term that it's easy to forget how much of a role maths plays in understanding i...More
Speed 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 since the Renaissance that the concept of movement crept into the world of mathematics, thanks to calculus and Isaac Newton.Less
10mins 2021-09-23
To Infinity, and Beyond

3. To Infinity, and Beyond

A circle is also a triangle and a triangle is a square. Sound impossible? Not in the realm of topology...More
A 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 and potatoes. The discipline's inventor, Henri Poincaré, created one of the most difficult problems in mathematics.Less
10mins 2021-09-23
On the Road to Infinity

4. On the Road to Infinity

In this episode of our travels in the land of maths, we are heading towards Infinity. And even beyond,...More
In 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 and his set theory will help us come to terms with this maths concept of dizzying scale.Less
10mins 2021-09-23
Gödel’s Theorem

5. Gödel’s Theorem

In this episode, we look at the relationship between maths and truth. Maths is meant to be certain, ei...More
In 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 proved that there are “undecidable” theories, which one can neither prove nor disprove.Less
10mins 2021-09-23
The Prisoner’s Dilemma

6. The Prisoner’s Dilemma

Two prisoners must choose between cooperation and betrayal without consulting each other. This famous ...More
Two 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 mathematically about a very philosophical question: is it in our interest to collaborate with others?Less
10mins 2021-09-23
The Game of Life

7. The Game of Life

In October 1970 Scientific American magazine introduced a game under the heading “Mathematical Games” ...More
In 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 Life” is cellular automaton. The game’s creator hoped to help with the understanding, simulating or even recreation of life itself.Less
10mins 2021-09-23
Irrationality

8. Irrationality

25 centuries ago, the well-ordered world of natural integers and fractions had to expand to accommodat...More
25 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 will realise that real life numbers are only the tip of the iceberg.Less
10mins 2021-09-23
A Complex Picnic

9. A Complex Picnic

We have known for a long time that some equations can't be solved as the answers are numbers that don'...More
We 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 numbers that now play a vital role in modern mathematics.Less
10mins 2021-09-23
Episode 10

10. Episode 10

Less
10mins 2021-09-30

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