Then, in 1986, an extraordinary idea linked this irritating problem with one of the most profound ideas of modern mathematics: the Taniyama-Shimura Conjecture, named after a young Japanese mathematician who tragically committed suicide. The link meant that if Taniyama was true then so must be FLT. When he heard, Wiles went after his childhood dream again. "I knew that the course of my life was changing." For seven years, he worked in his attic study at Princeton, telling no one but his family. "My wife has only known me while I was working on Fermat", says Andrew.

WASHINGTON — NASA's Hubble Space Telescope has taken the first visible-light snapshot of a planet circling another star. Estimated to be no more than three times Jupiter's mass, the planet, called Fomalhaut b, orbits the bright southern star Fomalhaut, located 25 light-years away in the constellation Piscis Australis, or the "Southern Fish."

Fomalhaut has been a candidate for planet hunting ever since an excess of dust was discovered around the star in the early 1980s by NASA's Infrared Astronomy Satellite, IRAS.

Temperature is used to describe how hot or cold an object it. The temperature of an object depends on how fast its atoms and molecules oscillate. At absolute zero, these oscillations are the slowest they can possibly be. Even at absolute zero, the motion doesn't completely stop.

Scientists use the latest computer simulations to show how an ancient rogue planet Orpheus collided with the earth millions of years ago, producing a sizable chunk of debris that eventually became our moon. If that collision had never occurred, we would live in a very different place. Imagine a moon-less weather report blizzards over the Sahara, floodwaters swallowing the Pyramids, 90-degree temperatures in Antarctica. As the earth wobbles on its axis unsecured by the moon's gravitational pull the polar caps would grow and recede at frightening rates. And without the moon, our planet would spin much faster meaning four-hour days and searing temperatures.

Worse yet, evidence reveals that we are in fact losing our grip on our lunar friend thanks to the ebb and flow of the oceans' tides. Experts reveal theories for salvaging the moon including hijacking Europa from Jupiter and demonstrate how we can prepare ourselves for our eventual life without it.

With the mission on the line restoring communications with the rover becomes a never-shredding ordeal before the problem is solved. Then opportunity serendipitously lands near a scientifically valuable rock outcrop that provides crucial evidence allowing NASA to announce solid proof that Mars was once awash in water.Through unprecedented access welcome to mars presents a compelling inside story of triumph technical ingenuity and emotional drama packed with stunning images from an alien world.

It turns out that chaos theory answers a question that mankind has asked for millennia - how did we get here?

In this documentary, Professor Jim Al-Khalili sets out to uncover one of the great mysteries of science - how does a universe that starts off as dust end up with intelligent life? How does order emerge from disorder?

Hawking shot to fame in the world of physics when he provided a mathematical proof for the Big Bang theory. This theory showed that the entire universe exploded from a singularity, an infinitely small point with infinite density and infinite gravity. Hawking was able to come to his proof using mathematical techniques that had been developed by Roger Penrose. These techniques were however developed to deal not with the beginning of the Universe but with black holes.

Science had long predicted that if a sufficiently large star collapsed at the end of its life, all the matter left in the star would be crushed into an infinitely small point with infinite gravity and infinite density -- a singularity. Hawking realised that the Universe was, in effect, a black hole in reverse.