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Teacher package: Proofs

The notion of proof lies at the very heart of maths: it's when it comes to proving things that mathematicians let lose their genius and creativity, and in the process often discover unexpected surprises or deep philosophical issues. But proofs can also be daunting. So to help you and your students along, we've brought together a range of Plus articles on proofs.
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Editorial

Seven things everyone wants to know about the Universe

Podcast

Plus Podcast 20, September 2009: How does gravity work?

In our fourth online poll to find out what you would most like to know about our Universe, you told us that you would like to know how gravity works. We took the question to Bangalore Sathyaprakash from the University of Cardiff, and here is his answer. You can also read the accompanying article.
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Juggling, maths and a beautiful mind

Many mathematicians find the pure and tight patterns of juggling as irresistible as those of mathematics. Burkard Polster explains how to get to grips with the bewildering range of juggling possibilities and invites you to do your own virtual juggling.
Article

Understanding uncertainty: Football crazy

On May 22nd 2009 the English Premier league had one more match day ahead, with West Bromwich Albion at the bottom of the league and Manchester United at the top, sure to remain there. Taking up a challenge from a BBC radio programme, David Spiegelhalterand Yin-Lam Ng used their statistical finesse to predict the outcome of the last matches — and they were 90% correct. Find out how they did it.

 

Podcast

Plus Podcast 19, September 2009: The story of the Gomboc

A Gomboc is a strange thing. It looks like an egg with sharp edges, and when you put it down it starts wriggling and rolling around as if it were alive. Until quite recently, no-one knew whether Gombocs even existed. Even now, Gabor Domokos, one of their discoverers, reckons that in some sense they barely exists at all. So what are Gombocs and what makes them special?
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Graphs and networks

Teacher package: Graphs and networks

This teacher package brings together all Plus articles on graph and network theory. Graphs and networks turn up in many real-life problems, from neuroscience to telecommunications. In the UK curriculum, they make a frequent appearance in the area known as decision maths. Our articles explore a wide range of related topics, from simple algorithms to complex network topologies.
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tiling

Secrets from a bathroom floor

Tilings have adorned buildings from ancient Rome to the Islamic world, from Victorian England to colonial Mexico. But while it sometimes seems free from worldly limitations, tiling is a very precise art, where not much can be left to chance. We can push and turn and wiggle, but if the maths is not right, it isn't going to tile. Josefina Alvarez and Cesar L. Garcia investigate.
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Supersonic Bloodhound

In 1997 Andy Green was the first to break the sound barrier in his car Thrust SSC, which reached speeds of over 760mph. Now he and his team want to push things even further with a car called Bloodhound, designed to reach the dizzy heights of 1,000mph, about 1.3 times the speed of sound. Ben Evans explains how maths is used to build this car.

Article

What is financial mathematics?

Tim Johnson was drawn into financial maths, not through an interest in finance, but because he was interested in making good decisions in the face of uncertainty. Tim explores the development of this interface between abstract mathematics and our everyday lives, and explains why a painting may only be worth its wall space.