Plus Blog

July 20, 2011

Mathematics is the language of the sciences, and the 2011 British Science Festival will be speaking volumes about how exciting maths can be. From events exploring the impact of maths on ground breaking scientific ideas to the role of statistics in professional sports, there's enough to bring out the mathlete in everyone.

Throughout history, mathematical ideas have evolved to become integral parts of science and culture. Join the New patterns — new perspectives event on the 15th September to discover how maths has shaped some of the 20th century's most important scientific ideas. Discover how non-Euclidean geometries revolutionised our ideas about space, played a key role in the birth of chaos theory and are still delivering fresh insights today.

Wave

Maths makes waves at the British Science Festival. Image: Roger McLassus.

At Maths makes waves on the 13th September you can discover the wonderful world of wave mathematics. Find out how Schrödinger's wave equation revolutionised modern science by forming a keystone of quantum mechanics, as well as the myriad wave-forms that surround us every day, from atmospheric waves to the solitary waves promising to revolutionise modern communications.

In today's technological world we are swimming in a sea of data, but how can we harness this to better understand our surroundings? In the world of sports, managers and sportspeople alike increasingly regard statistics as superior to conventional sports wisdom. At Vital statistics: sport's key to successful decision-making on the 10th September you can join researchers to find out how football, rugby, cricket and other sports are using statistical data to put them at the top of their game.

Exhibitions running throughout the festival will educate and enchant about all maths has to offer. The getstats campaign is all about empowering people to use numbers well to inform the choices we make every day, while The sight and sound of the primes will use the pseudo random nature of prime number sequences to control captivating moving images.

The British Science Festival will take place in Bradford from 10th-15th September, giving members of the public the chance to explore the latest in science, technology and engineering, and meet researchers face-to-face.

Spaces for some events are limited, so book in to hear these exciting talks first hand or call 0207 019 4947.

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July 20, 2011
High jump

Has your school been using our sister site Maths and Sport: Countdown to the Games? If yes, your commitment could earn you a reward from London 2012. You will get a plaque and certificate, and the right to use the London 2012 education logo. You'll also be given access to exclusive rewards like tours of the Olympic Park, visits from athletes, and priority access to tickets to the Games through the London 2012 Ticketshare initiative! All you have to do is complete the online application form for the Get Set network — the reward and recognition scheme for Get Set, the official London 2012 education programme.

To find out more, go to Maths and Sport: Countdown to the Games.

Maths and Sport: Countdown to the Games is an exciting project to celebrate London 2012, run by the Millennium Mathematics Project, of which Plus is a part. We're developing free online mathematical articles and activities exploring maths and science through the Olympic and Paralympic Games, aimed at a wide audience from school students and their teachers to members of the public. Find all our current articles and activities here and join our mailing list to receive email updates on new content as it appears.

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July 15, 2011
An Enigma machine rotor

An Enigma machine rotor. Copyright Simon Singh

The Queen and the Duke of Edinburgh will visit Bletchley Park today to unveil a memorial to the codebreakers who played a vital role in the second world war. To celebrate their visit the Queen has challenged UK children aged between 13 and 16 to crack six secret messages. Visit the British Monarchy Website to download the code book and get started!

You can read more about Bletchley Park, the enigma machine and cryptography on Plus and learn more about codebreaking and the enigma machine from The Enigma Project.

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July 14, 2011

What's a particular piece of mathematics good for? It can take decades, or even centuries for an answer to this question to materialise. The power of mathematics is hidden behind a range of unforeseeable applications in the modern world that arise from mathematical discoveries of the past. In today's climate, in which scientific research is increasingly judged according to its impact, this can pose a problem for pure mathematics.

Now a group of mathematicians from the British Society for the History of Mathematics have collected some examples of the unplanned impact of maths, which are reported in the 14th July issue of the journal Nature. Peter Rowlett, who coordinated the collection, said, "Although most mathematicians know that mathematics has this surprising nature, many that I have spoken to aren't aware of more than one or two specific examples. I thought the British Society for the History of Mathematics could help by searching through history for examples that are less well known. We hope this collection will only be the start and that more mathematicians will send their favourite stories to us."

Leonhard Euler

Leonhard Euler 1707 - 1783.

The field of topology is an illustrative example. Started by Leonhard Euler and studied for 250 years as a purely theoretical discipline, it has in the last two decades found applications in areas as diverse as genetics, the study of galaxy formation and robotics. These applications rely on 250 years of pure research, but the advances would not have been made if the researchers had had to justify the planned impact before studying their mathematics.

In technology quaternions, a 19th century discovery which seemed to have no practical value, have turned out to be invaluable to the 21st century computer games industry, while work on the best way to stack oranges started by Kepler in 1611, is essential to modern telecommunications.

Einstein's theory of relativity, which seemed to come as a spark of genius from nowhere, nevertheless drew on abstract geometry developed half a century earlier. Fourier's theory of vibrating strings, via very abstract mathematics in the 20th century, has now yielded new insights into quantum physics.

Gambling on 16th century dice games led to a discovery in mathematical probability that is crucial to the insurance industry, while a recent insight into a quantum theory thought experiment has unexpectedly found applications in the outbreak of viral disease and the risks associated with stock market volatility.

To find out more, read the Nature article (behind a pay wall unfortunately) and if you've got further examples of your own, post a comment here or contact Peter Rowlett on Twitter.

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July 8, 2011

Suppose you and a friend have been arrested for a crime and you're being interviewed separately. The police offer each of you the same deal. You can either confess, incriminating your partner, or remain silent. If you confess and your partner doesn't, then you get 2 years in jail (as a reward for talking), while your partner gets 10 years. If you both confess, then you both get 8 years (reduced from 10 years because at least you talked). If you both remain silent, you both get 5 years, as the evidence is only sufficient to convict you of a lesser crime.

What should your strategy be? As a selfish and rational individual, you should talk. If your partner also talks, then your confession gets you 8 years instead of 10. If your partner doesn't talk, then it gets you 2 years instead of 5. Talking is your dominant strategy, it leaves you better off than silence, no matter what your partner does.

The trouble is that your partner, just as selfish and rational as you, will come to the same conclusion. You'll both decide to talk and get 8 years each. Paradoxically, your dominant strategy will leave both of you worse off than silence would have done.

The prisoner's dilemma is one of game theory's most famous games because it illustrates why people might refuse to cooperate when they would be better off doing so. One real-life situation that is similar to the dilemma is an arms race between two countries, in which both countries increase their military might when it would be better for both to disarm.

Read more about the prisoner's dilemma on Plus:

Adam Smith and the invisible hand

Mathematical mysteries: Survival of the nicest

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July 7, 2011

Three cheers for John Barrow, the Director of the Millennium Mathematics Project (of which Plus is a part), for winning the IMA-LMS Christopher Zeeman Medal for his work promoting maths to the wider community!

Barrow has made enormous contributions to the public understanding of mathematics, particularly in his role as Director of the MMP, based at University of Cambridge. The MMP has done a huge amount to develop mathematical interest and ability among school students and the general public with activities such as NRICH and, of course, Plus.

In a joint statement, David Youdan, Executive Director of the Institute of Mathematics and its Applications, and Professor Angus Macintyre, President of the London Mathematical Society, said: "Our two societies have a common priority of promoting mathematics both to school students and to the adult public. Society should not lose sight of the fundamental importance of mathematics, both as a foundation for much of science and engineering, and as a human endeavour aimed at understanding some of the deepest problems about the structure of our universe. Professor Barrow has been at the forefront of mathematics communication for many years and is world famous for his contributions to public understanding of one of the oldest, most beautiful, and most essential of sciences".

The medal is named in honour of Professor Sir Christopher Zeeman, FRS, one of the UK’s foremost mathematicians who spent much of his career at the University of Warwick sharing his love of mathematics with the public. In 1978, Sir Christopher was the first ever mathematician to be asked to deliver the Royal Institution’s Christmas lectures in its 125 year history. Barrow said: "As someone who was inspired by Christopher Zeeman’s compelling presentations of mathematical ideas as a school student, it is a great honour to receive this award that bears his name".

As well as promoting mathematics through his work with the MMP, Barrow is also the author of many books on mathematics and cosmology. His recent publication – One hundred essential things you didn’t know you didn’t know – shows how mathematics explains our world, in a way that is accessible to anyone with only a basic mathematical knowledge. His most recent work, The Book of Universes, shows how mathematics has enabled us to understand so much of the Universe we see around us.

A tireless champion of mathematical awareness for several decades, Barrow has won both the Royal Society’s Faraday Prize and the Kelvin Medal of the Institute of Physics. He has also engaged with the arts and in 2002 his play Infinities premiered in Milan, directed by Luca Ronconi, and won the Premi Ubu Theatre Prize and the Italgas Prize. The Italian edition of his book Cosmic Imagery, about the role of pictures in the history of science and mathematics, won the 2011 Merck-Serono Prize for Science and Literature. Barrow has also been both the Gresham Professor of Astronomy and Gresham Professor of Geometry at Gresham College, London and is a Fellow of the Royal Society.

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