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Number theory is the branch of mathematics that’s primarily concerned with our counting numbers, 1, 2, 3, etc., and in particular the prime numbers, the ‘building blocks’ of our number system. The subject dates back to the ancient Greeks and is notable for its intrinsic beauty and elegance.
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.
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.
This lecture examines the work of Hugo de Vries, a Dutch botanist who was one of the first to claim that science would allow plants and animals to be designed to order.
Sydney’s botanic garden, founded in the early nineteenth century, was expected to ship new plants 'home' to the Royal Botanic Gardens, Kew, from where they could be transplanted to other colonial gardens, to see if they could become valuable new crops to enrich the British Empire.
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.