Oxford University Press's
Academic Insights for the Thinking World

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The real unsolved problems of mathematics

By Jason Rosenhouse
With the arrival of the new year, you can be certain that the annual extravaganza known as the Joint Mathematics Meetings cannot be far behind. This year’s conference is taking place in Baltimore, Maryland. It is perhaps more accurate to say that it is a conference of conferences, since much of the business to be transacted will take place in smaller sessions devoted to this or that branch of mathematics

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The legacy of the Superconducting Super Collider

By Stephen Blyth
Almost exactly twenty years ago, on 19 October 1993, the US House of Representatives voted 264 to 159 to reject further financing for the Superconducting Super Collider (SSC), the particle accelerator being built under Texas. $2bn had already been spent on the Collider, and its estimated total cost had grown from $4.4bn to $11bn; a budget saving of $9bn beckoned. Later that month President Clinton signed the bill officially terminating the project.

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Let them eat theorems!

By Kenneth Falconer
“This is not maths – maths is about doing calculations, not proving theorems!” So wrote a disaffected student at the end of my recent pure maths lecture course. Theorems, along with their proofs, have gotten a bad name.

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Making sense with data visualisation

By James Nicholson
Statistics to me has always been about trying to make the best sense of incomplete information and having some feeling for how good that ‘best sense’ is. At a very crude level if you have a firm employing 235 people and you randomly sample 200 of these on some topic, I would feel my information was pretty good (even though it is incomplete).

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Why launch a new journal?

In July, the first issue of the Journal of Survey Statistics and Methodology (JSSAM) will come out.  The launch of a new journal is always a source of great anticipation in the academic publishing world. We face many concerns about a proliferation of unnecessary journals, reduced library budgets, and creating valuable publications in a digital world.

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Tragedy of the science-communication commons

By Andrew Gelman
There’s a prevailing notion that communicating science is difficult, and it is therefore difficult to engage the general public. People can be fazed by statistics in particular, so how can we convey the importance of this science effectively?

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Symmetry is transformation

By Ian Stewart
Symmetry has been recognised in art for millennia as a form of visual harmony and balance, but it has now become one of the great unifying principles of mathematics. A precise mathematical concept of symmetry emerged in the nineteenth century, as an unexpected side-effect of research into algebraic equations. Since then it has developed into a huge area of mathematics, with applications throughout the sciences.

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Memories of undergraduate mathematics

By Lara Alcock
Two contrasting experiences stick in mind from my first year at university. First, I spent a lot of time in lectures that I did not understand. I don’t mean lectures in which I got the general gist but didn’t quite follow the technical details. I mean lectures in which I understood not one thing from the beginning to the end. I still went to all the lectures and wrote everything down – I was a dutiful sort of student – but this was hardly the ideal learning experience…

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The map she carried

By Marjorie Senechal
In the heyday of the British Empire, Britain’s second most-widely-read book, after the Bible, was: (a) Richard III (b) Robinson Crusoe (c) The Elements (d) Beowulf ? Why do I ask? “Since late medieval or early modern time,” Michael Walzer writes in Exodus and Revolution, “there has existed in the West a characteristic way of thinking about political change, a pattern that we commonly impose upon events, a story that we repeat to one another.”

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Teaching algorithmic problem-solving with puzzles and games

By Anany Levitin
In the last few years algorithmic thinking has become somewhat of a buzz word among computer science educators, and with some justice: ubiquity of computers in today’s world does make algorithmic thinking a very important skill for almost any student. There are few colleges and universities that require non-computer science majors to take a course exposing them to important issues and methods of algorithmic problem solving.

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What do mathematicians do?

By Jason Rosenhouse
Writing in 1866, the British mathematician John Venn wrote, in reference to the branch of mathematics known as probability theory, “To many persons the mention of Probability suggests little else than the notion of a set of rules, very ingenious and profound rules no doubt, with which mathematicians amuse themselves by setting and solving puzzles.” I suspect many of my students would extend Venn’s quip to the entirety of mathematics.

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Celebrating Newton, 325 years after Principia

By Robyn Arianrhod
This year, 2012, marks the 325th anniversary of the first publication of the legendary Principia (Mathematical Principles of Natural Philosophy), the 500-page book in which Sir Isaac Newton presented the world with his theory of gravity. It was the first comprehensive scientific theory in history, and it’s withstood the test of time over the past three centuries.

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What sort of science do we want?

By Robyn Arianrhod
29 November 2012 is the 140th anniversary of the death of mathematician Mary Somerville, the nineteenth century’s “Queen of Science”. Several years after her death, Oxford University’s Somerville College was named in her honor — a poignant tribute because Mary Somerville had been completely self-taught. In 1868, when she was 87, she had signed J. S. Mill’s (unsuccessful) petition for female suffrage, but I think she’d be astonished that we’re still debating “the woman question” in science.

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Summing up Alan Turing

Three words to sum up Alan Turing? Humour. He had an impish, irreverent and infectious sense of humour. Courage. Isolation. He loved to work alone. Reading his scientific papers, it is almost as though the rest of the world — the busy community of human minds working away on the same or related problems — simply did not exist.

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Is Almanac Day in your calendar?

By Benjamin Wardhaugh
As well as Halloween, Guy Fawkes, and All Saints’s day, this time of the year used to see another day of fun and frenzy. ‘Almanack Day’, towards the end of November, saw the next year’s almanacs go on sale. It generally came round on or about 22 November: St Cecilia’s Day. In London, Stationers’ Hall would be crammed to the rafters…

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The mathematics of democracy: Who should vote?

By Joseph C. McMurray
An interesting, if somewhat uncommon, lens through which to view politics is that of mathematics. One of the strongest arguments ever made in favor of democracy, for example, was in 1785 by the political philosopher-mathematician, Nicolas de Condorcet.

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