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Exploring mathematics: a powerful tool - for iPod/iPhone
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Exploring mathematics: a powerful tool - for iPod/iPhone

Author: The Open University

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How can mathematics help us to understand the world around us? The tracks on this album take us to Antarctica, Hong Kong and New Zealand to find out how mathematicians work with scientists and biologists to create mathematical models, and how collaborations like these can help decipher and predict a range of natural phenomena. We learn how the 17th Century saw the birth of one of the most important mathematical tools - calculus, and modern mathematicians examine the contribution of its three inventors - Fermat, Newton and Leibniz. This material forms part of The Open University course MS221 Exploring mathematics.
13 Episodes
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An introduction to the tracks on this album.
An introduction to mathematical modelling in the real world.
An ancient tradition

An ancient tradition

2009-07-1505:16

How bamboo scaffolding does its job.
Using statistical modelling to calculate endangered species’ survival rates.
Why elaborate mathematical modelling is needed to predict ice break-up in Antarctica.
A vibrating lake

A vibrating lake

2009-07-1505:20

Using mathematical modeling to understand the fluctuations in the surface levels of Lake Wakatipu.
Why is maths useful?

Why is maths useful?

2009-07-1501:06

How the behaviour of the world around us can be understood better through mathematics.
Who invented Calculus?

Who invented Calculus?

2009-07-1502:55

The birth of calculus resulted in controversy: who got there first?
Fermat’s ideas

Fermat’s ideas

2009-07-1504:02

An explanation of some of Fermat’s discoveries.
Fermat and John Wallis

Fermat and John Wallis

2009-07-1501:20

How Fermat communicated his findings to Wallis.
Isaac Newton’s input

Isaac Newton’s input

2009-07-1505:16

Newton invents the binomial theorem and publishes his great work Principia Mathematica.
New insights emerge

New insights emerge

2009-07-1507:44

Leibniz and the physicist Huygens work together.
How the birth of calculus was a truly international effort.