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.

Zeitgeist Addendum attempts to locate the root causes of this pervasive social corruption, while offering a solution. This solution is not based on politics, morality, laws, or any other 'establishment' notions of human affairs, but rather on a modern, non-superstitious based understanding of what we are and how we align with nature, to which we are a part. The work advocates a new social system which is updated to present day knowledge, highly influenced by the life long work of Jacque Fresco and The Venus Project.

Stonehenge was shaped over centuries, but to what purpose? Was it a temple to the sun, or the moon, an astronomical calendar, or a shrine to dead ancestors? Now Stonehenge may be about to give up some of its secrets. For the first time in nearly half a century a new archaeological dig the sacred stone circle. And the men who are leading the excavation are well aware of the significance of this moment.
The film exposes an investigation into a radical theory that Stonehenge, far from being a place of burial as is commonly assumed, was in fact a place of healing. The investigation takes in forensic testing of bones excavated over the past decades and hard-won permission for the first dig in 50 years at the Henge, watched live online by millions of viewers around the world. Does the theory of the healing stones bear up to modern-day forensic science?

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 story of Nikola Tesla, the great scientist, visionary, and inventor who gave the world alternating current electricity, as well as being the father of radio. The film tells the story of this man's astonishing genius, his visions and inventions. Tesla's own scientific and autobiographical writings, as well as archival photographs and re-enactments are used to tell the story. A native of Austro-Hungary, Tesla came to America in 1884. Working first with Edison, the two inventors fell out over Edison's insistence on using direct current. Tesla took his alternating current vision to Westinghouse. Tesla worked to unlock the secrets of energy and electricity. The film follows Tesla's exploits and eccentricities, which made him a darling of the press. Largely forgotten today in spite of the great debt the modern world owes him, the film pays tribute to this overlooked genius

Andrew Graham-Dixon examines early Christian art and the reasons for its evolution during the Renaissance. He also reveals just how far modern artists have been influenced by the pre-perspective view of the world.