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Mathematics is vital in ensuring that the lights stay on as the planners of the grid need to solve non-linear differential-algebraic equations to work out how much electricity can be generated, distributed and stored. These challenges will increase in the future.
In the long run, in an Internet society, it is claimed, we will neither need nor want doctors, teachers, accountants, architects, the clergy, consultants, lawyers, and many others, to work as they did in the 20th century. - Is this true?
A consideration of the evolution of the asset and liability position of the UK's household, firm and government sector prior to the financial crisis and where we currently stand in terms of adjustment that is still required.
We all rely on materials: natural ones like wood and stone - or manufactured ones such as steel, glass and concrete. The mathematics needed to design and study such materials is rich and challenging.
We all eat and have an interest in food! The many existing, and potential, applications of mathematics in agricultural-science and food technology will be described, explaining many of the fundamental processes that see us fed and watered.
Rapid economic growth in the emerging worlds has placed downward pressure of manufacturing wages in the advanced world. With increasingly lower real interest rates putting upwards pressure on asset prices, these twin forces have the propensity to accelerate income inequality. What do the facts say?
Where should you stand in order to photograph the restored four chimneys of Battersea power station equally spaced along the skyline? - The answer will take us to the heart of the mathematical field of projective geometry.
Characters such as Shrek are actually a collection of triangles and other mathematical objects, demonstrating the role of mathematics in the creation of movies.