Horizon Season 1996 Episode 2 Fermat's Last Theorem

In Horizon season 1996 episode 2 titled "Fermat's Last Theorem," the show delves into the fascinating world of one of mathematics' most enduring problems. The episode begins with the story of French mathematician Pierre de Fermat, who in the 17th century scribbled a tantalizing note in the margin of a book claiming to have discovered a proof for an equation known as Fermat's Last Theorem. The theorem stated that a^n + b^n = c^n has no whole number solutions for a, b, and c when n is greater than 2. However, Fermat did not include his proof, leaving mathematicians stumped for centuries and leading to a quest to prove the theorem in the years that followed.

The episode follows the journey of British mathematician Andrew Wiles as he becomes obsessed with solving Fermat's Last Theorem. Wiles would work on the problem for years in secret, avoiding any public announcement of his work as he grappled with the challenges of the proof. The episode explains the deep complexities of Wiles's work, including the use of elliptical curves and modular forms, the details of which will intrigue any math enthusiast.

The show includes interviews with leading mathematicians who discuss the significance of Fermat's Last Theorem, both in terms of the mathematics community and the wider world. The theorem has had an impact on modern cryptography and computer security, and its solution is seen as one of the greatest mathematical achievements of the 20th century.

As the episode progresses, the tension builds as Wiles reaches the final stages of his proof. The challenges he faced along the way, such as errors in his initial work and the pressure to keep his efforts under wraps, are explored in depth. When Wiles finally presents his proof, the reaction among his peers is one of awe and excitement. The show captures the moment of triumph when Wiles receives a standing ovation from his colleagues as he solves a problem that had eluded mathematicians for over 350 years.

Overall, "Fermat's Last Theorem" is a captivating episode of Horizon that takes viewers on a journey into the world of mathematical discovery. The episode showcases the brilliance of Andrew Wiles and his determination to solve a problem that had stumped mathematicians for centuries. With engaging visuals and easy-to-follow explanations of complex concepts, the show is a must-watch for anyone interested in mathematics or the pursuit of knowledge.