Imaginary numbers can seem confusing at first, but they play a powerful role in mathematics and real-world applications. This ...

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 ...

In the early 1970s mathematician Donald Knuth spent a sabbatical with his wife in Norway. The time was meant to be spent relaxing. Yet one night he woke up his partner in a state of agitation. He ...

Mathematicians were disturbed, centuries ago, to find that calculating the properties of certain curves demanded the seemingly impossible: numbers that, when multiplied by themselves, turn negative.

For centuries, mathematicians have categorized infinities into a kind of ladder. The infinite set of natural numbers (1, 2, 3, and so on) sits on one rung. On a higher rung, the infinite set of real ...

The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

What is the largest natural number possible? By using the word natural, I have ruled out the possibility that you simply answer infinity (∞) to torpedo the guessing game. But even if we allowed ...

CBSE Class 10 Mathematics begins with Chapter 1: Real Numbers, one of the most important and scoring topics in the syllabus. This chapter lays the foundation for advanced mathematical concepts such as ...

While both programmes revolve around computing and technological innovation, their approach, academic depth and career ...

Some people think 2+2=5... and they might be right. A statistician explains how abstract math can have real-world limitations ...