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# Argand diagram

An Argand diagram is the graphical representation of complex numbers written in polar coordinates. For example, if $z\in\mathbb{C}$ is a complex number, then $z$ can be written as $re^{{i\theta}}$, where $r$ is the length of $z$ considered as a vector $(x,y)\in\mathbb{R}^{2}$, 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 [Biography]

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Complex

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## Mathematics Subject Classification

28A10*no label found*30-00

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