# Argand diagram

An Argand diagram^{} is the graphical representation of complex numbers^{} written in polar coordinates. For example, if $z\in \u2102$ 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 $(x,y)\in {\mathbb{R}}^{2}$, with $z=x+yi$, and $\theta $ is the value such that $\mathrm{tan}\theta =\frac{y}{x}$, 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 |