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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.

When ancient Greece fell into decline, mathematical progress stagnated as Europe entered the Dark Ages, but in the East mathematics reached new heights. In the second episode, Du Sautoy explores how maths helped build imperial China and discovers how the symbol for the number zero was invented in India. He also looks at the Middle Eastern invention of algebra and how mathematicians such as Fibonacci spread Eastern knowledge to the West.

A wholly innovative, original, and vital history lesson, with pioneering animation, Waltz With Bashir delivers its message about the Middle East in a mesmerizing fashion. Director Ari Folman's animated quasi-documentary follows the filmmaker's emotional attempt to decipher the horrors that unfolded one night in September of 1982, when Christian militia members massacred more than 3,000 Palestinian refugees in the heart of Beirut as Israeli soldiers surrounded the area". Folman was one of those soldiers, but nearly 20 years after the fact, his memories of that night remain particularly hazy. After hearing an old friend recall a vivid nightmare in which he is pursued by 26 ferocious dogs, Folman and his friend conclude that the dream must somehow relate to that fateful mission during the first Lebanon War. When Folman realizes that his recollections regarding that period in his life seem to have somehow been wiped clean, he travels the world to interview old friends and fellow soldiers from the war. Later, as Folman's memory begins to emerge in a series of surreal images, he begins to uncover a truth about himself that will haunt him for the rest of his days.