A young mother's mysterious death and her son's subsequent kidnapping blow open a decades-long mystery about the woman's true identity and the murderous federal fugitive at the center of it all.
It's late at night in Oklahoma City, in April of 1990. Two or three guys are in a truck driving along the road and they see some kind of debris. And then they see off to the side, there's a body. It appears to be a young woman, a blonde-haired woman and they call an ambulance. She's rushed to the hospital, and her husband, Clarence, eventually shows up. He says her name is Tonya Hughes, that she's a stripper in Tulsa, and that they have a young son named Michael. And he's much older and he's just kind of this weird guy. So, the doctors, as they continue to examine her, they see old bruises and old injuries. There's something wrong with this picture. Ultimately, she passes away. The girls Tonya danced with want to find her family. So they call this woman and they tell her that her daughter died. And she says, 'What are you talking about? My daughter died 20 years ago, she was only 18 months old.' They realize that who they just buried was not Tonya Hughes, so now they're asking, 'What happened?'.

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 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.

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 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.

This is the story of a book that could have changed the history of the World. To the untrained eye, it is nothing more than a small and unassuming Byzantine prayer book. For faintly visible beneath the prayers on its pages are other, unique, writings - words that have been lost for nearly two thousand years. The text is the only record of work by one of the world's greatest minds - the ancient Greek, Archimedes - a mathematical genius centuries ahead of his time. Hidden for a millennium in a middle eastern library, it has been written over, broken up, painted on, cut up and re-glued. But in the nick of time scientists have saved the precious, fragile document, and for the first time it is revealing just how revolutionary Archimedes' ideas were. If it had been available to scholars during the Renaissance, we might have reached the Moon over a hundred years ago.