Complex numbers A complex number can be expressed in the form: \[z = a + ib\] \[a, b \in \mathbb{R}\] where \(i\) is a solution of the equation: \[x^2 = −1\] As no real number satisfies this equation, \(i\) is called an imaginary number. In this notation, \(a\) is called the real part and \(b\) is called the imaginary part of the complex number [1]. A complex number can also be express in its polar form as: \[z = r (cos(\theta) + i sin(\theta))\] \[r, \theta \in \mathbb{R}\] The De Moivre t...
