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.

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.

This acclaimed multi-million dollar 4 part series shows the rise of the tribes of a primitive culture on the fringe of northern Europe to become the heirs of the Roman Empire. Since the age of Caesar this Roman-Germanic conflict was characterized not only by fierce battles but also by phases of co-existence & cooperation. the Germans dug the grave of the Roman Empire, but were also the preserves of the Roman legacy.

In the fourth episode of the series, Clovis was the first Frankish king to acknowledge the Christian faith. This changed the direction of Europe's history.

The series explores the impact of racism on a global scale and chronicles the shifts in the perception of race and the history of racism in Europe, the Americas, Australia and Asia. The first episode begins by assessing the implications of the relationship between Europe, Africa and the Americas in the 15th century. It considers how racist ideas and practices developed in key religious and secular institutions, and how they showed up in writings by European philosophers Aristotle and Immanuel Kant.

In the year 480 B.C., the Greeks and the Persians fight one of the most famous battles in history at a place called Thermopylae. Here, the mighty Persian war machine, which has conquered most of the known world, will attempt an expansion into Europe. The only thing standing in their way will be an army led by 300 Spartans, the greatest soldiers the world has ever known. They will fight to the very last man, and in doing so will protect the cradle of democracy during its infancy, and the battle will go down in history as the greatest military stand of all time.