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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.
From The Merchant of Venice to The Taming of the Shrew, it’s easy to see how Shakespeare’s plays can cause offence to contemporary audiences. Is it harder to teach Shakespeare today than in the past? Have ideas about what is offensive in Shakespeare changed over time?
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.
Stories about islands punctuate the careers of Michael Powell and Emeric Pressburger, from Powell’s breakthrough with Edge of the World (1936) to the Hebridean journey of I Know Where I’m Going! (1945), and the final act of their Tales of Hoffmann (1951).