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Quantum science has been one of the most successful and useful theories ever invented. Indeed quantum technology was added as the ninth of the original eight great technologies.
In this lecture I will describe the mathematics of machine learning and explain its applications to robotics. In particular I will show how the modern ideas of deep learning allow a robot to make sense of the world it exists in, including the ideas behind speech and face recognition.
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.
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 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.
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.