Last Watched

"Leonard Euler"  Sort by

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
Through the Wormhole Season 8
Through the Wormhole Season 8

   2017    Science
Ancient Rome
Ancient Rome

   2006    History
The Life of Birds
The Life of Birds

   1998    Nature
The Story of the Jews
The Story of the Jews

   2013    History
Earth, the Power of the Planet
Earth, the Power of the Planet

   2007    Nature
How the Universe Works Season 4
How the Universe Works Season 4

   2015    Science
Oceans
Oceans

   2009    Nature
Galapagos with David Attenborough
Galapagos with David Attenborough

   2013    Nature