**Might as well Toss a Coin:**

**How Random Numbers help us find Exact Solutions**

Randomness is clearly important in computer games and in the Premium Bond prize draw. But it is perhaps surprising that random numbers can also help us find the solution to well-defined business problems. This lecture looks at the role of randomness in computer algorithm, conducting a live experiment to use random numbers to calculate the mathematical constant π. Random numbers can be a valuable problem-solving tool, used to help solve difficult industrial problems and determine the optimal choice of business strategies.

Professor Tony Mann has taught mathematics and computing at the University of Greenwich for over twenty years. He was President of the British Society for the History of Mathematics from 2008 to 2011 and is editor of the Newsletter of the London Mathematical Society.

He has always been fascinated by the interface between mathematics and computing, and he began his career writing software for the mathematical modelling of power plants in the electricity supply industry. Since moving into academia he has taught subjects ranging from abstract algebra and the history of mathematics to digital media and human factors in computing. He also seeks to promote his subject to different audiences, and is active in outreach events for school students and the general public. He has spoken at Gresham College about prehistoric Scottish stone balls and used computer simulation to calculated π to astonishing accuracy at the British Science Festival.

Professor Mann was appointed a National Teaching Fellow in 2008 and received the Times Higher Award for Innovative Teacher of the Year in 2010, both honours reflecting the success of the Department of Mathematical Sciences at Greenwich of which he was Head between 2002 and 2010.

Recent publications include an edition of the collected papers of the mathematician William Burnside (co-edited with Peter Neumann and Julia Tompson), and a book chapter on mathematics in Victorian Scotland (written with Alex Craik), and he is now editing, with Mary Croarken and Raymond Flood, a book of essays on the history of mathematics at Greenwich.

With Christopher Good, he has just completed a project for the National Higher Education STEM Programme, creating teaching resources on “Being a Professional Mathematician”, which involved interviewing practising mathematicians about their work and the culture of being in their profession. He also maintains a blog about mathematics at www.tonysmaths.blogspot.co.uk.

His lectures as Visiting Gresham Professor of Computing Mathematics will look at the mathematics of computing, and vice versa: topics ranging from how computers (and people) do arithmetic to how pure mathematicians use computers to prove theorems. They will consider what can go wrong, how computers sometimes get the wrong answer, and the ingenuity mathematicians have used in overcoming the problems inherent in working with computers. Since Gresham Professors such as Henry Briggs, Edmund Gunter and, more recently, Louis Milne-Thomson were pioneers in the mechanisation of computation, he is particularly pleased to be talking on these subjects at Gresham College.

Professor Mann delivered a series of lectures between 2013 and 2015 entitled Computing Mathematics.

All of Professor Mann's past lectures can be accessed here.

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