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.

Arguably the most powerful painting about war ever achieved. It portrays the slaughter of civilians after Napoleonic troops entered Madrid in 1808. The programme reveals the historical truths behind the painting and shows exactly how Goya achieved this masterpiece of protest. he painting's content, presentation, and emotional force secure its status as a groundbreaking, archetypal image of the horrors of war. Although it draws on many sources from both high and popular art, The Third of May 1808 marks a clear break from convention. Diverging from the traditions of Christian art and traditional depictions of war, it has no distinct precedent, and is acknowledged as one of the first paintings of the modern era.
According to the art historian Kenneth Clark, The Third of May 1808 is 'the first great picture which can be called revolutionary in every sense of the word, in style, in subject, and in intention'. Discover how Goya used drawings by authentic witnesses to depict a real firing squad.

In 1901, a group of divers excavating an ancient Roman shipwreck near the island of Antikythera, off the southern coast of Greece, found a mysterious object - a lump of calcified stone that contained within it several gearwheels welded together after years under the sea. The 2,000-year-old object, no bigger than a modern laptop, is now regarded as the world's oldest computer, devised to predict solar eclipses and, according to recent findings, calculate the timing of the ancient Olympics. Following the efforts of an international team of scientists, the mysteries of the Antikythera Mechanism are uncovered, revealing surprising and awe-inspiring details of the object that continues to mystify

This series, narrated and written by Oliver Stone and co-author Peter Kuznick, will focus on human events that at the time went under reported, but crucially shaped America’s unique and complex history over the 20th and 21st century. The series is a re-examination of some of the under-reported and darkest parts of American modern history using little known documents and newly uncovered archival material. The series looks beyond official versions of events to the deeper causes and implications and explores how events from the past still have resonant themes for the present day." The fist episode examines World War II. It offers special attention to the Spanish Civil War, Roosevelt's desire to enter the war on the side of the allies, the strategic Japanese decisions that lead up to Pearl Harbor Attack, and the often overlooked role that the Soviet Union had in winning the war.

What was the Wehrmacht? A group of obedient yeasayers? A murdering band of thugs? An army of millions of abused young men? This series in 5 parts provides differentiated and conclusive answers based on the latest historical and comprehensive investigative research, bringing many new facts to light – among them documents proving for the first time ever, what many among the officers actually thought. Blitzkrieg, the lightning war, in German incorporate modern weapons and vehicles as a method to help avoid the stalemate of trench warfare and linear warfare in future conflicts. The first practical implementations of these concepts coupled with modern technology were instituted by the Wehrmacht in the opening theatres of World War II. The strategy was particularly effective to Germany in the invasions of Western Europe and initial operations in the Soviet Union. These operations were dependent on surprise penetrations, general enemy unpreparedness and an inability to react swiftly enough to German offensive operations.

The film explores George Mallory's obsession with becoming the first person to reach the highest place on Earth. Told through the explorer's poignant and evocative letters to his wife, Ruth, previously unseen photos and film archive from 1924 (restored from the original nitrate especially for the film), dramatization and a modern-day expedition retracing the original route taken in 1924, Mallory's incredible adventure lives again. The expedition was led by renowned mountaineer Conrad Anker, whose life became inextricably linked with Mallory after he found Mallory s body on Everest in 1999. Using replica 1920s-era clothing and equipment, Anker sets out to solve the great mystery of whether Mallory succeeded in summiting Everest before he died he was last seen just 800 feet from the summit before the clouds closed in and he disappeared into legend. The most heart-breaking clue: All of Mallory's belongings were found intact on his body, except the photograph of his beloved Ruth, which he promised to leave at the top of the world if he succeeded.