Many of the problems we see in mathematics revolve around finding solutions to equations, and so, over the centuries our number systems had to be expanded to allow for solutions to ever more ...

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra. They can be applied to ...

Mathematics students often encounter confusion when distinguishing between rational and irrational numbers. However, mastering this fundamental concept becomes straightforward once you understand the ...

Draw a square in the complex plane with vertices at 1, i, -1 and -i. Prove that for any two complex numbers u and v within the square, their product uv also lies within the square. When I first saw ...

In 1886 the mathematician Leopold Kronecker famously said, “God Himself made the whole numbers — everything else is the work of men.” Indeed, mathematicians have introduced new sets of numbers besides ...