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The Story of Maths The Frontiers of Space

   2008    Science
In the third episode we will see Europe by the 17th century taking over from the Middle East as the powerhouse of mathematical ideas. Great strides had been made in understanding the geometry of objects fixed in time and space. The race was on to discover the mathematics to describe objects in motion. This programme explores the work of Rene Descartes, Pierre Fermat, Isaac Newton, Leonard Euler and Carl Friedrich Gauss. Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat’s theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss' invention of a new way of handling equations, modular arithmetic. The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.
Series: The Story of Maths
The Nazis, A Warning From History
The Nazis, A Warning From History

   1997    History
The Incredible Human Journey
The Incredible Human Journey

   2009    History
The Story of Maths
The Story of Maths

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The Last Dance
The Last Dance

   2020    Culture
Evolution
Evolution

   2004    Science
How to Grow a Planet
How to Grow a Planet

   2012    Science
Reel Rock
Reel Rock

   2014    Culture
The Crime of the Century
The Crime of the Century

   2021    Medicine