Sir David Attenborough takes a breath-taking journey through the vast and diverse continent of Africa as it's never been seen before. From the richness of the Cape of Good Hope to blizzards in the high Atlas Mountains, from the brooding jungles of the Congo to the steaming swamps and misty savannahs, Africa explores the whole continent. An astonishing array of previously unknown places are revealed along with bizarre new creatures and extraordinary behaviours. Using the latest in filming technology including remote HD cameras, BBC One takes an animal's eye view of the action. The journey begins in the Kalahari, Africa's ancient southwest corner, where two extraordinary deserts sit side by side and even the most familiar of its creatures have developed ingenious survival techniques. Black rhinos reveal a lighter side to their character as they gather around a secret waterhole. Springbok celebrate the arrival of rains with a display of 'pronking'. Bull desert giraffes endure ferocious battles for territory in a dry river bed.

Even 2,000 years after his death, General Hannibal's battle strategies are still studied today. But of all his military feats, perhaps his greatest was leading his massive Carthaginian army of men and three-dozen elephants across the Alps and into the heartland of Rome in 218 B.C. Until now, the route they took has been a matter of dispute, but thanks to modern-day technology, geomorphologist Bill Mahaney and microbiologist Chris Allen believe they've accurately traced this ancient journey.

Dr Hannah Fry explores a paradox at the heart of modern maths, discovered by Bertrand Russell, which undermines the very foundations of logic that all of maths is built on. These flaws suggest that maths isn't a true part of the universe but might just be a human language - fallible and imprecise. However, Hannah argues that Einstein's theoretical equations, such as E=mc2 and his theory of general relativity, are so good at predicting the universe that they must be reflecting some basic structure in it. This idea is supported by Kurt Godel, who proved that there are parts of maths that we have to take on faith.
Hannah then explores what maths can reveal about the fundamental building blocks of the universe - the subatomic, quantum world. The maths tells us that particles can exist in two states at once, and yet quantum physics is at the core of photosynthesis and therefore fundamental to most of life on earth - more evidence of discovering mathematical rules in nature. But if we accept that maths is part of the structure of the universe, there are two main problems: firstly, the two main theories that predict and describe the universe - quantum physics and general relativity - are actually incompatible; and secondly, most of the maths behind them suggests the likelihood of something even stranger - multiple universes.
We may just have to accept that the world really is weirder than we thought, and Hannah concludes that while we have invented the language of maths, the structure behind it all is something we discover. And beyond that, it is the debate about the origins of maths that has had the most profound consequences: it has truly transformed the human experience, giving us powerful new number systems and an understanding that now underpins the modern world.

Jeremy Bowen presents a look back at the creation of the state of Israel, examining the the events leading up to the Israeli war of Independence in 1949, its impact on Arab/Israeli relations and the implications for the Middle East. It's a one hour crash course in some of the underlying causes of the current problems in the Middle East.

Dr Alice Roberts asks one of the great questions about our species: are we still evolving? There's no doubt that we're a product of millions of years of evolution. But thanks to modern technology and medicine, did we escape Darwin's law of the survival of the fittest? Alice follows a trail of clues from ancient human bones to studies of remarkable people living in the most inhospitable parts of the planet and the frontiers of genetic research, to discover if we are still evolving - and where we might be heading.

He was stalked, attacked and left to die alone. Murdered more than 5,000 years ago, Ötzi the Iceman is Europe’s oldest known natural mummy. Miraculously preserved in glacial ice, his remarkably intact remains continue to provide scientists, historians, and archeologists with ground-breaking discoveries about a crucial time in human history.