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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.
The lecture will show how Prohibition animated combatants on both sides, generating two Americas that were barely comprehensible to each other, and how the truce declared during depression and war would not last.
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.
The event will focus upon mathematical expeditions, outlining how the use of mathematics has been instrumental to the success of historical voyages of exploration.