Artists and poets have long been inspired by the mathematical patterns found in nature—for instance, the remarkable fact that a sunflower's seeds follow the Fibonacci sequence. But there are myriad ...

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 ...

“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...