Andrew Graham-Dixon begins his exploration of German art by looking at the rich and often neglected art of the German middle ages and Renaissance. He visits the towering cathedral of Cologne, a place which encapsulates the varied and often contradictory character of German art. In Munch he gets to grips with the earliest paintings of the Northern Renaissance, the woodcuts of Albrecht Durer and the cosmic visions of the painter Albrecht Altdorfer. Andrew also embarks on a tour of the Bavarian countryside, discovering some of the little-known treasures of German limewood sculpture.

This documentary series charting the visual appeal and historical meaning of maps. The Hereford Mappa Mundi, the largest intact Medieval wall map in the world, its ambition to picture all of human knowledge in a single image is breathtaking. The work of a team of artists, the world it portrays is overflowing with life, featuring Classical and Biblical history, contemporary buildings and events, animals and plants from across the globe, and the infamous 'monstrous races' which were believed to inhabit the remotest corners of the Earth.

The story of the Viking world's most famous warrior, the legend of Beowulf is the ultimate tale of courage. Pit against thirsty invaders, barbaric monsters and a fire breathing dragon, Beowulf emerges as Norse mythology's greatest hero. But could this warrior have actually been real? Unearthed burial mounds and ancient carvings suggest the myth of Beowulf might have been more than epic legend.

Filmmaker Daniel McNicoll explores the emerging movement to reclaim the ancient medieval and renaissance martial arts in this documentary narrated by Welsh actor John Rhys-Davies, and produced on corroboration with Lord of the Rings director Peter Jackson. The Medieval and Renaissance blade was a remarkable weapon crafted with the utmost attention to detail. Though the history of the sword remains largely shrouded in mystery for younger moviegoers, their presence on the big screen can still be felt in the Star Wars saga, as well as films like Chronicles of Narnia and The Pirates of the Caribbean. Join host Davies as he traces the history of this remarkable weapon throughout the ages, in the process giving us a better understanding of the sword's unique role in both history, and films.

Deep in the Andean mountains lays a mysterious ruin named Machu Picchu. For 400 years it sat abandoned on its misty cliff, the quintessential lost city in the jungle. Rediscovered in 1911, it contained no written records or carvings, nothing that could shed light on its history. For a century since, it has defied the endless scores of visitors and scientists who attempted to understand its purpose. Who were the mysterious people who built it and why did they build it here? Today an international team of archaeologists, engineers and scientists are finally piecing together the clues. Together they are discovering astonishing new burials, revealing the intricacies of its ingenious engineering and finally decoding the secrets of Machu Picchu.

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.