Code-Breakers: Bletchley Park's Lost Heroes • 2011

58:58

Hannah travels down the fastest zip wire in the world to learn more about Newton's ideas on gravity. His discoveries revealed the movement of the planets was regular and predictable. James Clerk Maxwell unified the ideas of electricity and magnetism, and explained what light was. As if that wasn't enough, he also predicted the existence of radio waves. His tools of the trade were nothing more than pure mathematics. All strong evidence for maths being discovered. But in the 19th century, maths is turned on its head when new types of geometry are invented. No longer is the kind of geometry we learned in school the final say on the subject. If maths is more like a game, albeit a complicated one, where we can change the rules, surely this points to maths being something we invent - a product of the human mind. To try and answer this question, Hannah travels to Halle in Germany on the trail of perhaps one of the greatest mathematicians of the 20th century, Georg Cantor. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others. This increasingly weird world is feeling more and more like something we've invented. But if that's the case, why is maths so uncannily good at predicting the world around us? Invented or discovered, this question just got a lot harder to answer.

S1E2 • Magic Numbers: Hannah Fry's Mysterious World of Maths • 2018 • Math

60:56

Renowned cosmologist Max Tegmark will take us on a journey through some of the greatest mysteries of our existence, and through the physics, astronomy and mathematics that are the foundation of his work.

S1E4 • Curiosity Retreats: 2016 Lectures • 2016 • Math

59:02

Dr Hannah Fry reveals how data-gobbling algorithms have taken over our lives and now control almost everything we do, without us being aware of it. Pitching the UK speed-cubing champion against a machine in the opening seconds of the lecture, Hannah sets the pace for a rapid voyage through this superhuman world. Hannah teams up with famed YouTuber Tom Scott to create a viral video and decipher YouTube's secret algorithm, comes face to face with four-legged guests to put animal image recognition machines to the test, and reveals how the NHS is matching organ donors in chains across the country to save hundreds of lives. But the breakthroughs are not restricted to the real world. Bafta award-winning special guests reveal the secrets of CGI in films such as The Avengers and Lord of the Rings, and supersized laser illusions bring the Royal Institution to life. An unexpected feathery guest opens our eyes to a new type of coding, where computers can be trained like animals using tasty rewards, with maths comedian Matt Parker and computing expert Dr Anne-Marie Imafidon bringing the topic to life. Finally, Hannah reveals how we've all been training up Google's AI in this way for years without realising it, and discovers how Google Health is using big data to give doctors a helping hand. The power of algorithms is undeniable. Hannah ultimately discovers how we can bend the world to our will and make anything possible, with a bit of mathematical thinking.

S1E2 • Royal Institution Christmas Lectures: Secrets and Lies - The Hidden Power of Maths • 2019 • Math

4:11

Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible - but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy Paradox.

TED-Ed • 2013 • Math

48:47

We are bad at making decisions. According to science, our decisions are based on oversimplification, laziness and prejudice. And that's assuming that we haven't already been hijacked by our surroundings or led astray by our subconscious! Featuring exclusive footage of experiments that show how our choices can be confounded by temperature, warped by post-rationalisation and even manipulated by the future, Horizon presents a guide to better decision making, and introduces you to Mathematician Garth Sundem, who is convinced that conclusions can best be reached using simple maths and a pencil!

Horizon • 2008 • Math

3:34

Why are most manhole covers round? Sure it makes them easy to roll, and slide into place in any alignment. But there’s another, more compelling reason, involving a peculiar geometric property of circles and other shapes. Marc Chamberland explains curves of constant width and Barbier’s theorem.

TED-Ed • Math