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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.

Conquest of the Skies
Conquest of the Skies

   2015    Nature
Triumph of Life
Triumph of Life

   2006    Nature
Prehistoric America
Prehistoric America

   2003    Nature
The Story of the Jews
The Story of the Jews

   2013    History
Planet Earth
Planet Earth

   2007    Nature
Japan Earth Enchanted Islands
Japan Earth Enchanted Islands

   2017    Nature
Blood of the Vikings
Blood of the Vikings

   2001    History
Living Universe
Living Universe

   2018    Technology