Imaginary Numbers

Quaternions are a set of 4-dimensional vectors that are used to represent rotations in computer graphics. They were discovered by William Hamilton as an extension of 2D complex numbers to a 3D equivalent. This article covers the definition of a quaternion, its notation, and operations.

Imaginary numbers were invented to solve problems for equations with no real roots. Complex numbers extend imaginary numbers by adding a real number. This article covers the definition of complex numbers and operations such as addition, product, norm, conjugate, inverse, and square root. Finally, this article covers the geometric and polar representations of complex numbers.