One of the beautiful things about maths is that every concept is part of a bigger picture — a picture that grows over time, transcends traditional boundaries, and often informs a range of real-world applications. The collections below aim to present some of these mathematical jigsaws by bringing together content exploring specific topics from different perspectives and at varying levels of depth.
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The 2012 Plus advent calendar

What's that we hear? Sleigh bells! What's that we smell? Chestnuts roasting on an open fire! What can that mean? Christmas is coming! Celebrate the countdown with the Plus advent calendar featuring our favourite mathematical moments from 2012. Now, what's behind today's door...?

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The Isaac Newton Institute: Creating eureka moments

The Isaac Newton Institute celebrates its 20th birthday this year, having opened in July 1992. To join in the celebrations we bring you a selection of articles exploring some of the research programmes that have been held there. The Institute asked us to produce these articles in 2010 and we were honoured by being afforded this rare glimpse behind its venerable doors. And as you'll see, what started out as abstract mathematics scribbled on the back of a napkin can have major impact in the real world.
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Teacher package: Classical mechanics

Whether it's the planets moving around the Sun or building the perfect cycling track, the key to many questions in our lives lies in classical mechanics. This teacher package brings together all our content on mechanics.
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Teacher package: Rational and irrational numbers

This teacher package is devoted to the number line and the two major classes of numbers it's divided into: rational numbers, which can be written as fractions, and irrational numbers, which are everything else.
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Stephen Hawking's birthday package

Stephen Hawking turned 70 in January 2012 and to celebrate, the University of Cambridge put on a scientific conference as well as a public symposium. Plus went along, of course, and here are the articles and podcast we have produced from the conferences. Happy reading and listening!
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Science fiction, science fact: Is there free will?

Is there such a thing as free will? In everyday life we all assume that there is: it's up to you whether you cheat in your tax return, and if you're caught, well then you deserve punishment. But when you look at it from a physics view point free will becomes a little tricky. Here's a collection of articles exploring free will.
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Mathematics and the nature of reality

How many universes are there? What has made us into who we are? Is there absolute truth? These are difficult questions, but mathematics has something to say about each of them. It can probe the physical reality that surrounds us, shed light on human interaction and psychology, and it answers, as well as raises, many of the philosophical questions our minds have allowed us to dream up. On this page we bring together articles and podcasts that examine what mathematics can say about the nature of the reality we live in.
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Teacher package: Game theory

Game theory is a great way of sneaking up on maths. You can start off playing an actual game, then start thinking about strategies, and before you know it you're doing proper maths, either conceptually or using equations and formulae. In this teacher package you'll find all our articles on game theory.