Documentary AreaSimply the best Documentaries

The Pythagorean Theorem is simple: x2 + y2 = z2. In this form, the equation can be solved. But what if the 2 is replaced with any positive integer greater than 2? Would the equation still be solvable? More than 300 years ago, amateur mathematician Pierre de Fermat said no, and claimed he could prove it. Unfortunately, the book margin in which he left this prophecy was too small to contain his thinking. Fermat's Last Theorem has since baffled mathematicians armed with the most advanced calculators and computers. Andrew Wiles methodically worked in near isolation to determine the proof for this seemingly simple equation.

One hundred years after Columbus' arrival in the Caribbean, Spanish Conquistadors and Priests, push into North America in search of gold and to spread Catholicism. With the arrival of the British in North America, the two colonial systems produce contrasting societies that come in conflict as Manifest Destiny pushes the U.S into the Mexican territories of the South West. As the Gold Rush floods California with settlers, complex and vital communities are overwhelmed. The elites, including Mariano Vallejo and Apolinaria Lorenzana lose their land. Mexicans and Mexican Americans are treated as second-class citizens, facing discrimination and racial violence. Resistance to this injustice appears in New Mexico as Las Gorras Blancas (The White Caps), burn Anglo ranches and cut through barbed wire to prevent Anglo encroachment. At the same time, New Mexicans manage to transform themselves through education, managing to preserve Hispano culture in New Mexico and their standing in the midst of an era of conquest and dispossession.

The cycle of life of a handful of different animals is captured on film in a whole new way in this documentary. Using special motion-control photography equipment, Genesis allows filmgoers to view animal behaviors which are too small, too slow, or too difficult to normally be seen with the naked eye, including a chick hatching its way out from inside an egg, jellyfish drying into nothing under the heat of the sun, or a snake slowly swallowing prey bigger than itself. This footage is accompanied by narration from Sotigui Kouyate, who uses simple props and easily understandable analogies to explain the science behind what its shown on screen. Genesis was directed by Claude Nuridsany and Marie Perennou, who previously created another acclaimed scientific documentary, Microcosmos.

From the makers of Walking With Dinosaurs comes an epic and entertaining new exploration of early life on Earth, revealing that before the age dinosaurs, a succession of fantastical animals and plants ruled the planet. A time when a two-ton predatory fish came on land to hunt, when four-metre sea scorpions sliced sushi in the shallows and when just one species of lumbering reptile represented 80 per cent of all life. For the first time, this special two-hour presentation uncovers and recreates these creatures and the bizarre world they inhabited.

Horizon uncovers the secret world of our dreams. In a series of cutting-edge experiments and personal stories, we go in search of the science behind this most enduring mystery and ask: where do dreams come from? Do they have meaning? And ultimately, why do we dream? What the film reveals is that much of what we thought we knew no longer stands true. Dreams are not simply wild imaginings but play a significant part in all our lives as they have an impact on our memories, the ability to learn, and our mental health. Most surprisingly, we find nightmares, too, are beneficial and may even explain the survival of our species.

Sir David Attenborough reveals plants as they have never been seen before - on the move and dangerously devious. About the major problems of life - growing, finding food, reproduction - and the varied ways plants have evolved to solve it. Filmed from the plant's point of view, using computer animations, fibre-optics and unique time-lapse photography. The first episode looks at how plants are able to move". The bramble is an aggressive example: it advances forcefully from side to side and, once settled on its course, there is little that can stand in its way. An altogether faster species is the birdcage plant, which inhabits Californian sand dunes. When its location becomes exposed, it shifts at great speed to another one with the assistance of wind — and it is this that allows many forms of vegetation to distribute their seeds. While not strictly a plant, the spores of fungi are also spread in a similar fashion. One of the most successful (and intricate) flowers to use the wind is the dandelion, whose seeds travel with the aid of 'parachutes'. They are needed to travel miles away from their parents, who are too densely packed to allow any new arrivals. Trees have the advantage of height to send their seeds further, and the cottonwood is shown as a specialist in this regard. The humidity of the tropical rainforest creates transportation problems, and the liana-species Alsomitra macrocarpa is one plant whose seeds are aerodynamic 'gliders'. Some, such as those of the sycamore, take the form of 'helicopters', while others, such as the squirting cucumber release their seeds by 'exploding'. Water is also a widely used method of propulsion. The tropical sea bean Entada gigas has one of the biggest fruits of all plants and is dispersed by water streams. However, most plants use living couriers, whether they be dogs, humans and other primates, ants or birds, etc., and to that end, they use colour and smell to signify when they are ripe for picking.