Oxford University Press's
Academic Insights for the Thinking World
The capacity to work in teams is a vital skill that undergraduate and graduate students need to learn in order to succeed in their professional careers and personal lives. While teamwork is often part of the curriculum in elementary and secondary schools, undergraduate and graduate education is often directed at individual effort and testing that emphasizes solitary performance.
The subject of combinatorial analysis or combinatorics (pronounced com-bin-a-TOR-ics) is concerned with such questions. We may loosely describe it as the branch of mathematics concerned with selecting, arranging, constructing, classifying, and counting or listing things.
So, what is crystallography? Put simply, it is the study of crystals. Now, let’s be careful here. I am not talking about all those silly websites advertising ways in which crystals act as magical healing agents, with their chakras, auras and energy levels. No, this is a serious scientific subject, with around 26 or so Nobel prizes to its credit. And yet, despite this, it remains a largely hidden subject, at least in the public mind.
For people suffering from recurrent epileptic seizures, one of the most burdensome aspects of their condition is the unpredictability of their seizures. While medications, surgery, and novel neurostimulation methods can eliminate seizures seizures in some cases, many people with epilepsy face the possibility of a seizure at any time, even when they occur only rarely.
I’m sure you’ve had this experience. You want to get somewhere, say a concert, or a public building, and all the people are stopped by security officials, who ask to search your bag. They open it, maybe take out one or two items, then glance around inside the rest, before giving it back to you and letting you go.
The scientific method has long reigned as the trusted way to test hypotheses so as to produce new knowledge. Shaped by the likes of Francis Bacon, Galileo Galilei, and Ronald A. Fisher, the idea of replicable controlled experiments with at least two treatments has dominated scientific research as a way of producing accepted truths about the world around us. However, there is growing interest in design thinking, a research method which encourages practitioners to reformulate goals, question requirements, empathize with users, consider divergent solutions.
A theory is inconsistent if we can prove a contradiction using basic logic and the principles of that theory. Consistency is a much weaker condition that truth: if a theory T is true, then T consistent, since a true theory only allows us to prove true claims, and contradictions are not true. There are, however, infinitely many different consistent theories that we can construct.
From 2017, ten-pound notes issued by the Royal Bank of Scotland will feature a new face: that of the great nineteenth-century science communicator Mary Somerville. Her book on mathematical astronomy, Mechanism of the Heavens — published in 1831, when she was fifty years old — was used as an advanced textbook at Cambridge for a hundred years. This is a phenomenal achievement for a woman who taught herself science and mathematics.
We are living with a climate system undergoing significant changes. Scientists have established a critical mass of facts and have quantified them to a degree sufficient to support international action to mitigate against drastic change and adapt to committed climate shifts. The primary example being the relation between increased atmospheric carbon dioxide concentrations and the extent of warming in the future.
When we pay our bills using a plastic card, we are simply authorizing alterations to the information stored in some computers. This is one aspect of the symbiotic relationship that now exists between money and information. The modern financial world is byzantine in its complexity, and mathematics is involved in many ways, not all of them transparently clear. Fortunately there are some bright spots, such as the fact that it is now possible to measure information.
Oxford University Press is excited to be welcoming Professor Steve Furber as the new Editor-in-Chief of The Computer Journal. In an interview between Justin Richards of BCS, The Chartered Institute of IT and Steve, we get to know more about the SpiNNaker project, ethical issues around Artificial Intelligence (AI), and the future of the IT industry.
In June 2015, I co-chaired the organising committee of the first international mathematics education conference of the Institute of Mathematics and its Applications (IMA) titled ‘Barriers and Enablers to Learning Maths’ with the University of Glasgow, who also hosted it. The two and a half day conference explored approaches to teaching and learning mathematics and was structured around ten parallel sessions that delegates could choose from, including ‘Addressing mathematics & statistics anxiety’ and ‘Enhancing engagement with mathematics & statistics.’
In a British Council report Martin Rose argues that the way STEM subjects are taught reinforces the development of a mind-set receptive to violent extremism. Well taught social sciences, on the other hand, are a potentially powerful intellectual defence against it. Whilst his primary focus was MENA (Middle East and North Africa) he draws implications for education in the West.
At first glance this might seem like a non-question. How do people read anything? All suitably educated people read at least somewhat fluently in their first language – why would reading mathematics be different?
Why make New Year’s Resolutions you don’t want to keep? This year the Very Short Introductions team have decided to fill the gaps in their knowledge by picking a VSI to read in 2016. Which VSIs will you be reading in 2016? Let us know in the comment section below or via the Very Short Introductions Facebook page.
Why is the head of a drum usually shaped like a circle? How would it sound if it were shaped like a square instead? Or a triangle? If you closed your eyes and listened, could you tell the difference? The mathematics used to prove that “one can hear the corners of a drum” are founded on the study of two everyday phenomena: vibrations and heat conduction.