Simon Singh, the guy who wrote that book, also made a very cool documentary on it. It used to be on YouTube, but it was removed by the BBC (they have a very annoying habit of removing educational content from YouTube). It's on the BBC iPlayer.

There is also an excellent long interview with Ken Ribet, who proved a result that inspired Wiles to take on the proof: https://www.youtube.com/watch?v=nUN4NDVIfVI