Watch Continued Fractions - Professor John Barrow in New Channel | Channify

What are continued fractions? How can they tell us what is the most irrational number? What are they good for and what unexpected properties do they possess? How did Ramanujan make good use of their odd features to make striking discoveries? We will look at how they have played a role in the study of numbers, chaos, gears and astronomical motions. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/continued-fractions Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. http://www.gresham.ac.uk