Articles

Frugal nature: Euler and the calculus of variationsPhil Wilson continues our series on the life and work of Leonhard Euler, who would have turned 300 this year. This article looks at the calculus of variations and a mysterious law of nature that has caused some scientists to reach out for god.
EditorialPlus 1000 — Mathematical lives
Outer space: EmergenceHow does complexity arise from simplicity?
Editorial
  • Plus 100 —the best maths of the last century
  • More maths grads
Maths goes publicPlus celebrates its tenth birthday this year. Former editor and present executive editor of Plus, Robert Hunt, explores how maths popularisation in general, and Plus in particular, have changed over the last ten years.
What is the Area of a Circle? You might know the famous formula for an area of a circle, but why does this formula work? Tom Körner's explanation really is a piece of cake, served up with a hefty estimate of pi.
Quantum geometryOne of the many strange ideas from quantum mechanics is that space isn't continuous but consists of tiny chunks. Ordinary geometry is useless when it comes to dealing with such a space, but algebra makes it possible to come up with a model of spacetime that might do the trick. And it can all be tested by a satellite. Shahn Majid met up with Plus to explain.
Non-Euclidean geometry and Indra's pearlsIf you've ever redecorated a bathroom, you'll know that there are only so many ways in which you can tile a flat plane. But once you move into the curved world of hyperbolic geometry, possibilities become endless and the most amazing fractal structures ensue. Caroline Series and David Wright give a short introduction to the maths behind their beautiful images.
Matrix: Simulating the world Part I - Particle modelsIf you've ever watched a flock of birds flying at dusk, or a school of fish reacting to a predator, you'll have been amazed by their perfectly choreographed moves. Yet, complex as this behaviour may seem, it's not all that hard to model it on a computer. Lewis Dartnell presents a hands-on guide for creating your own simulations — no previous experience necessary.
Editorial
  • Happy birthday Plus! — celebrating 10 years of bringing mathematics to life
  • Plus 10 — what were the greatest mathematical advances in the last decade?
How time does PASSPlus magazine is celebrating its 10th birthday. To mark the occasion, the founding editors of Plus look back on the beginnings, see what has changed in maths and public understanding of maths and pick out some of the articles they liked best.