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Making the grade

Calculus is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the first of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us about these tools -…
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Adam Smith and the invisible hand

Adam Smith is often thought of as the father of modern economics. In his book "An Inquiry into the Nature and Causes of the Wealth of Nations" Smith decribed the "invisible hand" mechanism by which he felt economic society operated. Modern game theory has much to add to Smith's description.
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Teacher package: Mathematical Modelling

The flocking behaviour of birds, the spread of diseases and the Cuban missile crisis — all of these and much more can be modelled mathematically. In our second teacher package we bring together all Plus articles on mathematical modelling, ready for use in classroom discussions or students projects.
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Learning the unseen

Find out how deep learning can help improve the images produced by MRI, CT and PET scans, making patients more comfortable and cutting NHS waiting lists.
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Editorial

The Plus anniversary year — A word from the editors
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Making a racket: the science of tennis

As London is heading for the 2012 Olympics, it's not just athletes who are gearing up for action. Engineers, too, are working hard to produce the cutting-edge sporting equipment that guarantees record performances. If you're a tennis player, your most important piece of equipment is your racket…
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The right spin: how to fly a broken space craft

On the 25th of May 1997 a dramatic collision tore a hole into the space station Mir and sent it hurtling through space. As NASA astronaut Michael Foale tells Plus, the fate of Mir and its crew hinged on a classical set of equations.
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Is time travel allowed?

We're all on a journey into the future, but can we travel into the past? Find out with Kip Thorne