Argand Diagrams

A handful resources of Argand diagrams are available in this post with the explanations. This Math diagram contains complex numbers which are represented geometrically using Cartesian axes, the horizontal coordinate representing the real part of the number and the vertical coordinate the complex part. It is very useful to have a graphical or pictorial representation of complex numbers. So in short, an Argand diagram is a plot of complex numbers as point. Take a look at the following example of Argand diagram.

This diagram above is an Argand diagram which represents the complex number a + bi by the point P(a, b). This mathematics diagram are named after Jean-Robert Argand (1768–1822), although they were first described by Norwegian-Danish land surveyor and mathematician Caspar Wessel (1745–1818). Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane.

Historically, the geometric representation of a complex number as a point in the plane was important because it made the whole idea of a complex number more acceptable. In particular, this visualization helped “imaginary” and “complex” numbers become accepted in mainstream mathematics as a natural extension to negative numbers along the real line.

To help yo with the complex number, you can use Pythagoras’ theorem to find the modulus of a complex number. All diagrams presented are available for direct-saving. Find other Mathematics diagrams in the other posts of this site!