## Maths is Everywhere

This is a series of six mathematics lectures given by Professor John D. Barrow, investigating the many ways in which mathematics underpins our everyday lives.

Professor John D. Barrow FRS has been a Professor of Mathematical Sciences at the University of Cambridge since 1999, carrying out research in mathematical physics, with special interest in cosmology, gravitation, particle physics and associated applied mathematics.
(from **gresham.ac.uk**)

**Maths with Pictures**

How pictures have been used in mathematics. The use of illustrations in ancient mathematics books, the invention of the first graphs and the representation of probabilities, sets and formulae by pictures.

**Continued Fractions**

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?

**The Bounce of the Superball**

The commercially available 'Superball' of hard rough rubber displays many counterintuitive properties which seem to violate Newton's laws of motion.

**The Uses of Irrationality: Paper Sizes and the Golden Ratio**

Is there anything mathematically interesting about the paper sizes we use? We will see that their range of sizes has special features that facilitates their use in Xerox machines.

**Benford's Very Strange Law**

The first digits of randomly chosen numbers arising naturally or in human affairs display surprising statistical regularities.

**Doing Business in Interstellar Space**

Imagine that interstellar trade is possible at speeds close to the speed of light. It must incorporate the insights of Einstein's special theory of relativity, which teaches us that clocks on board a spaceship moving at high velocity will ensure time at different rates relative to clocks at the point of departure.

Related Links |

The Story of MathsThis is a BBC documentary series written and presented by Professor Marcus du Sautoy, outlining aspects of the history of mathematics. |

Mathematics: Making the Invisible VisibleOften described as the science of patterns, mathematics is arguably humanity's most penetrating mental framework for uncovering the hidden patterns that lie behind everything we see, feel, and experience. |

The Beauty of DiagramsThis is a BBC documentary series presented by Professor Marcus du Sautoy, exploring the stories behind some of the most familiar scientific diagrams. |

The CodeThis is a BBC documentary series presented by Professor Marcus du Sautoy, revealing a hidden numerical code that underpins all nature. |

The Secret MathematiciansThis will explore the hidden mathematical ideas that underpin the creative output of well-known artists and reveal that the work of the mathematician is also driven by strong aesthetic values. |

How Mathematicians Think about PatternsThis talk explores some basic ideas about symmetry, and shows how it helps us to understand patterns in nature. |