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This lecture examines the mathematics behind computing, starting with the history of the explosive growth of computer technology, from code breaking through to all aspects of modern communication and security.
In this talk we use mathematics to look at these flaws and answer associated questions (eg. voting trends and gerrymandering). For a bit of light relief we will see how the same principles work in the Eurovision Song Contest.
I will start by looking at the mythology that has gathered around the Golden Ratio, and also consider the fairness of cake-cutting, and changing choices in the Monty Hall problem.
Mathematics and art are more similar than is commonly thought. Each is concerned with the process of being highly creative with abstract objects and of producing everlasting work of great aesthetic beauty.
This final lecture will celebrate some of the great mathematical equations, and related algorithms, which have both changed the world as we know it and which are likely to change it in the future.
Characters such as Shrek are actually a collection of triangles and other mathematical objects, demonstrating the role of mathematics in the creation of movies.
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.
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.
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.