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Are...We Alone
CTRL
The Search for Freedom
Romans
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Ancient Rome: Nero
Alien Moons
We Are Legion The Story of the Hacktivists
Comets:  Frozen Wanderers
Penguin Shores
Enchanted Kingdom
Humpback Whales
Deep Sea
How to Grow a Planet Life from Light
Clash of the Gods: Odysseus I
Treasures of the Gods
A Death in the Family
Hermitage Revealed
Gravity and Me The Force that Shapes our Lives
America Imagine the World Without Her
Testing the Evidence
Can We Cheat Death
Congo
Journey to the Edge of the Universe
Race For Satellites
Life: Reptiles and Amphibians
Ants: Secret Power of the Nature
Last Stand
Dinosaur Planet: White Tip Journey
Unity
Whale Killer
The Chemistry of Life
The Glory of Byzantium
Secretive Creatures
Objectified
Protestantism The Evangelical Explosion

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The Story of Maths The Frontiers of Space
The Story of Maths The Frontiers of Space 2008

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.

Category:Science  Duration:59:00   Series: The Story of Maths

 
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