“This website allows you to explore vector fields in real time.
“Vector field” is just a fancy way of saying that each point on a screen has some vector associated with it. This vector could mean anything, but for our purposes we consider it to be a velocity vector.
Now that we have velocity vectors at every single point, let’s drop thousands of small particles and see how they move. Resulting visualization could be used by scientist to study vector fields, or by artist to get inspiration!”
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”
A Simple Visual Proof of a Powerful Idea
Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.
By Kevin Hartnett, Quanta Magazine
Secret Link Uncovered Between Pure Math and Physics
“An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.”
by Kevin Hartnett, Quanta Magazine
Gresham Lecture: How Much Mathematics Can You Eat?
We all eat and have an interest in food! Indeed food and beverage processing is the world’s largest manufacturing industry with a UN Forecast that the world food output must increase by 70% by 2050. The many existing, and potential, applications of mathematics in agricultural-science and food technology will be described, explaining how the fundamental process of freezing, cold storing, cooking, making, eating, and even digesting, food are all areas in which the application of areas of mathematics such as thermodynamics, fluid mechanics, and partial differential equation theory can make a very big difference.