Quantum mechanical effects such as radioactive decay, or more generally: 'tunneling', display intriguing mathematical patterns. Researchers now show that a 40-year-old mathematical discovery can be ...

The premise of Marcus du Sautoy’s Blueprints: How Mathematics Shapes Creativity is that mathematics and creativitiy spring from the same well — structure. Individual numbers exist without human help.

If all you had at your mathematical disposal was the idea of real numbers, you could still get very far. From Galileo to Newton to Coulomb to Maxwell, the entirety of classical physics is built on the ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...