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The Story of Maths To Infinity and Beyond

   2008    Science
In the fourth episode, Professor Marcus du Sautoy concludes his investigation into the history of mathematics with a look at some of the great unsolved problems that confronted mathematicians in the 20th century. After exploring Georg Cantor's work on infinity and Henri Poincare's work on chaos theory, he sees how mathematics was itself thrown into chaos by the discoveries of Kurt Godel and Paul Cohen, before completing his journey by considering some unsolved problems of maths today, including the Riemann Hypothesis.
Series: The Story of Maths

The Secret Life of Chaos

   2010    Science
Chaos theory has a bad name, conjuring up images of unpredictable weather, economic crashes and science gone wrong. But there is a fascinating and hidden side to Chaos, one that scientists are only now beginning to understand. 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? It's a mindbending, counterintuitive and for many people a deeply troubling idea. But Professor Al-Khalili reveals the science behind much of beauty and structure in the natural world and discovers that far from it being magic or an act of God, it is in fact an intrinsic part of the laws of physics. Amazingly, it turns out that the mathematics of chaos can explain how and why the universe creates exquisite order and pattern. And the best thing is that one doesn't need to be a scientist to understand it. The natural world is full of awe-inspiring examples of the way nature transforms simplicity into complexity. From trees to clouds to humans - after watching this film you'll never be able to look at the world in the same way again.

Human universe
Human universe

   2014    Technology
How Earth Made Us
How Earth Made Us

   2010    Science
Planet Earth II
Planet Earth II

   2016    Nature
Catalyst
Catalyst

   2017    Science
Bible's Buried Secrets
Bible's Buried Secrets

   2011    Culture
The Story of Maths
The Story of Maths

   2008    Science
Conquest of the Skies
Conquest of the Skies

   2015    Nature
One Strange Rock
One Strange Rock

   2018    Nature