Chris Budd: “Space science is one of HM Government’s ‘eight great technologies’. In this lecture I will explain the mathematics behind satellites, showing how they are controlled, how they are sent to distant planets and how they transmit and receive data over vast distances.
I will also explain how GPS systems work and show how General Relativity plays a vital role in making GPS systems so accurate. I will finish by showing a link between space science and Origami.”
The transcript and downloadable versions of the lecture are available from the Gresham College website: Maths Goes Into Space – Professor Chris Budd OBE
Gresham Lecture: How Maths Can Save Your Life – Professor Chris Budd OBE
Many of us have been in a medical scanner and benefited from its use in medical diagnostics. But how many of us have considered how it works? The maths behind modern medical imaging (showing how CAT, MRI and Ultrasound scanners work) will be explained, showing how mathematics done in 1915 is now saving countless numbers of lives.
Recent advances in mathematics are leading to much better images for doctors to use for their diagnoses; and similar methods and ideas are used in diverse applications such as remote sensing, oil prospecting, crime detection, studying bees and saving the whales.
Gresham Lecture: Energetic Mathematics – Professor Chris Budd
The annual consumption of electricity in the UK is 300 TWh, supplied over a complex network starting, usually, with power being generated at a power station. This is then transmitted over a high voltage network, before being reduced in voltage and distributed to commercial, industrial and residential consumers. Mathematics is vital in ensuring that the lights stay on as the planners of the grid need to solve non-linear differential-algebraic equations to work out how much electricity can be generated, distributed and stored. These challenges will increase in the future.
Gresham Lecture: Mathematical Materials – Professor Chris Budd OBE
We all rely on materials: natural ones like wood and stone – or manufactured ones such as steel, glass and concrete. With modern technology, we can now design and manufacture meta-materials with a wide variety of mechanical, electrical, thermal and other properties. These often have different properties, combined in a complex manner. The resulting behaviour of the material emerges from the way that the properties interact, which can be very different from the sum of the parts. The mathematics needed to design and study such materials is rich and challenging.
In conversation with Talitha Washington
Nikoleta Kalaydzhieva, Sean Jamshidi and Rafael Prieto Curiel.
“Talitha Washington is a professor of mathematics at Howard University who is passionate about improving ethnic minority access to STEM subjects in the USA. Talitha, whose name comes from the Biblical verse “Talitha cumi”, literally meaning “little girl, get up!”, introduces herself as an activist, a mathematician, and a professor.”
Maths in the Early Islamic World
“Melvyn Bragg and guests discuss the flourishing of maths in the early Islamic world, as thinkers from across the region developed ideas in places such as Baghdad’s House of Wisdom. Among them were the Persians Omar Khayyam, who worked on equations, and Al-Khwarizmi, latinised as Algoritmi and pictured above, who is credited as one of the fathers of algebra, and the Jewish scholar Al-Samawal, who converted to Islam and worked on mathematical induction. As well as the new ideas, there were many advances drawing on Indian, Babylonian and Greek work and, thanks to the recording or reworking by mathematicians in the Islamic world, that broad range of earlier maths was passed on to western Europe for further study.
Reader in Pure Mathematics at the University of St Andrews
Professor of Classics & Graeco-Arabic Studies at the University of Manchester
Professor of Physics at the University of Surrey”