The Southern Ocean, which circles the globe without being blocked by land, is home to the Antarctic Circumpolar Current (ACC), the longest of the world's ocean currents. Also known as the "channel", it connects the Indian, Atlantic and Pacific Ocean basins and exerts a powerful influence over the Earth's climate. The ACC carries 150 times more water around Antarctica than the flow of all the world's rivers combined.

In the third episode we will see Europe by the 17th century taking over from the Middle East as the powerhouse of mathematical ideas. Great strides had been made in understanding the geometry of objects fixed in time and space. The race was on to discover the mathematics to describe objects in motion. This programme explores the work of Rene Descartes, Pierre Fermat, Isaac Newton, Leonard Euler and Carl Friedrich Gauss. Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat’s theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss' invention of a new way of handling equations, modular arithmetic. The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

In the fourth episode, Professor Marcus du Sautoy concludes his investigation into the history of mathematics with a look at some of the great unsolved problems that confronted mathematicians in the 20th century. After exploring Georg Cantor's work on infinity and Henri Poincare's work on chaos theory, he sees how mathematics was itself thrown into chaos by the discoveries of Kurt Godel and Paul Cohen, before completing his journey by considering some unsolved problems of maths today, including the Riemann Hypothesis.

Over 133 years in the making, from humble beginnings manufacturing 'Hanufuda' cards came one of the world's most recognized videogame companies, from the birth of Mario and Luigi to Donkey Kong and Zelda... to beating its competition and presenting itself as a platform for quality games and strong values. This is the story of Nintendo.

Frequent security expos feature companies like Megvii and its facial- recognition technology. They show off cameras with A.I. that can track cars, and identify individuals by face, or just by the way they walk. In China it's been projected that over 600 million cameras will be deployed by 2020. Here, they may be used to discourage jaywalking, but they also serve to remind people that the state is watching. Matching with the most advanced artificial intelligence algorithm, they can actually use this data, real-time data, to pick up a face or pick up a action.
A.I. is a technology that can be used for good and for evil. So, how do governments limit themselves in, on the one hand, using this A.I. technology and the database to maintain a safe environment for its citizens, but not to encroach on a individual's rights and privacies?

(Click CC for Subtitles) Deep in the forests of Northern Italy resides the prized white Alba truffle. Desired by the wealthiest patrons in the world, it remains a pungent but rarified mystery. It cannot be cultivated or found: the only souls on Earth who know how to dig it up are a tiny circle of canines and their silver-haired human companions-Italian elders with walking sticks and devilish senses of humor-who only scour for the truffle at night so as not to leave any clues for others. Still, this small enclave of hunters induces a feverish buying market that spans the globe.
With unprecedented access to the elusive truffle hunters, filmmakers Michael Dweck and Gregory Kershaw follow this maddening cycle from the forest floor to the pristine restaurant plate. With a wily and absurdist flare, The Truffle Hunters captures a precarious ritual constantly threatened by greed and outside influences but still somehow protected by those clever, tight-lipped few who know how to unearth the magic within nature.