A team of German physicists has built a fully working version of quantum mechanics that uses only real numbers. Complex ...

This is where all the math that has been and is still being invented comes into play. Areas of pure math such as algebra, analysis, combinatorics and many others can be used—in some cases combined—to ...

Real and imaginary: The time-dependent Schrödinger equation formulated using complex numbers. (Courtesy: iStock/piranka) Complex numbers are essential to achieve the most accurate quantum-mechanical ...

For all of the recent strides we’ve made in the math world, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries—but ...

To a nonmathematician, having the letter “i” represent a number that does not quite exist and is “imaginary” can be hard to wrap your head around. If you open your mind to this way of thinking, ...

Mathematicians have proved a key building block of the Langlands programme, sometimes referred to as a “grand unified theory” of maths due to the deep links it proposes between seemingly distant ...