- 09.00 Registration and refreshments
- 09.45 Welcome from the Senior Vice-Principal, Professor Ken Badcock
- 09.50 Introduction to the day, Professor Stefanie Gerke
- 10.15 The mathematics of the Enigma machine,
- 11.30 Small Group Talks
- 12.00 Lunch
- 12.30 Tours of campus from outside the Windsor Building
- 13.00—14.30 Special sessions for teachers, Dr Elisabetta Cannetta
- 13.15—13.45 Small Group Talks
- 14.00—14.30 Small Group Talks
- 14.45 The Music in a 2000 year old proof, Professor Rüdiger Schack
- 15.45 Close and questionnaires
Guest lecture: The Mathematics of the Enigma Machine: how the British read German secrets in WWII
Professor Rüdiger Schack: The Music in a 2000 year old proof
Are all quantities in mathematics ratios of integers, such as 5/7? The ancient Pythagoreans thought so. For them, mathematics, cosmology, and music were firmly based on the integers. The Pythagorean world view was thrown into crisis in the 5th century BC when it was discovered that some distances, and by implication some musical intervals, cannot be expressed as ratios of integers, that is, they are “irrational”. It took more than 2000 years for mathematicians and musicians to fully come to terms with the discovery of irrational numbers. This talk will present a simple and beautiful proof that the square root of 2 is irrational, and through it explore connections between music and mathematics.
Professor Rüdiger Schack has been teaching at Royal Holloway’s Mathematics Department for more than 20 years, including 5 years as Head of Department. He has made numerous research contributions in the field of quantum theory ranging from foundations to optics and cryptography. Recently he was a panelist at the World Science Festival in New York. His musical interests include singing in a choir and playing piano and harpsichord.