Argand diagram

An Argand diagram is the graphical representation of complex numbers written in polar coordinates. For example, if $z\in ℂ$ is a complex number, then $z$ can be written as $r{e}^{i\theta }$, where $r$ is the length of $z$ considered as a vector $(x,y)\in {ℝ}^2$, with $z=x+yi$, and $\theta$ is the value such that $\tan \theta =\frac{y}{x}$, and can be interpreted as the angle $z$ makes with the $x$-axis. The Argand diagram of $z$ is thus

Argand is the name of Jean-Robert Argand, the Frenchman who is credited with the geometric interpretation of the complex numbers http://www-groups.dcs.st-and.ac.uk/ history/Mathematicians/Argand.html[Biography]

Title	Argand diagram
Canonical name	ArgandDiagram
Date of creation	2013-03-22 11:57:25
Last modified on	2013-03-22 11:57:25
Owner	CWoo (3771)
Last modified by	CWoo (3771)
Numerical id	10
Author	CWoo (3771)
Entry type	Definition
Classification	msc 28A10
Classification	msc 30-00
Related topic	Complex