PlanetMath: Argand diagram

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Argand diagram

(Definition)

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 can be written as $re^{i\theta}$ , where is the length of considered as a vector $(x,y)\in \mathbb{R}^2$ , with , and $\theta$ is the value such that $\tan \theta = \frac{y}{x}$ , and can be interpreted as the angle makes with the -axis. The Argand diagram of is thus

$\begin{pspicture}(-0.5,-0.5)(4.5,2) \SpecialCoor \psline{->}(0,0)(4.5,0) \rput(4... ...0){1}{0}{(3,1.75)} \rput(1.25,0.3){$\theta$} \rput(1.5,1.2){$r$} \end{pspicture}$

Argand is the name of Jean-Robert Argand, the Frenchman who is credited with the geometric interpretation of the complex numbers [Biography]

"Argand diagram" is owned by CWoo. [ full author list (3) | owner history (3) ]

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See Also: complex

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Cross-references: interpretation, angle, vector, length, polar coordinates, complex numbers, representation
There is 1 reference to this entry.

This is version 6 of Argand diagram, born on 2001-11-11, modified 2008-02-07.
Object id is 751, canonical name is ArgandDiagram.
Accessed 8087 times total.

Classification:

AMS MSC:	28A10 (Measure and integration :: Classical measure theory :: Real- or complex-valued set functions)
	30-00 (Functions of a complex variable :: General reference works )

Pending Errata and Addenda

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