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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 less than two years, Al Capone has risen from a humble bookkeeper to second-in-command of Johnny Torrio's criminal empire in Chicago. The empire is worth the modern-day equivalent of $35 million. Capone purchases a home for his family and moves them from New York to Chicago. Torrio and Capone expand their empire from Chicago's South Side to the North Side, which is controlled by Chicago's second largest gang, the Irish. Violence erupts as ruthless Irish gang leader Dean O'Banion protects his territory and bootlegging business from Torrio and Capone.

Ewan McGregor and Charley Bormann are very close to finishing their journey. Discussions on security are still on the agenda; they cannot travel at night due to dangerous cartels. They will need to do many miles on a bus with space for the bikes inside. The team manage to get the bikes on after concerns they wouldn’t fit. Repairing and conditioning the bus is an achievement considering they did it in a few days.
Ewan and Charley get back on their bikes, and they head to their last border cross to enter the United States. After 12 hours in the border, the crew, Ewan and Charley make it to America. It’s an easy stretch to L.A. on their bikes. Ewan, the crew and family, finish the last leg. It’s done, they’ve managed to finish Long Way Up. It’s such an achievement. Episode 11 is a heartfelt finale, showcasing the end of an incredible journey from both Ewan, Charley, and the team that supported them.

Deep in the twisted roots of a giant strangler fig tree, hidden from view, lives perhaps the most bizarre nighttime creature of all. The spectral tarsier, tiny primates barely larger than a tennis ball. As darkness falls, a family of these small primates in Sulawesi ventures into the jungle to find food while protecting their babies.

In the last episode, in the years after Steven and Brendan's very public trials, the various members of the Avery family struggle to mend their broken lives.

The film chronicles Allen's career - from teen writer to Sid Caesar's TV scribe, from stand-up comedian to award-winning writer-director averaging one film-per-year for more than 40 years. Exploring Allen's writing habits, casting, directing, and relationship with his actors first-hand, new interviews with A-listers, writing partners, family and friends provide insight and backstory to the usually inscrutable filmmaker.