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# Complex Numbers

## Complex Numbers

I've just started adding some basic complex numbers content to the site (definitely feel I've done this before!) My current plan is to add the following content.

Topic | Complete |

The arithmetic of complex numbers | Yes |

Roots of quadratics | Yes |

Roots of polynomials (and the fundamental theory of algebra) | |

symmetric combinations of roots | |

Modulus and Argument | Yes |

The geometry of complex numbers (and the Argand diagram) | Yes |

Loci and Transformations | Yes |

Trigonometry |

After this, I think matrices would be a nice topic to visit.

The fractal image was generated using Ultra Fractal 6. Part of the Mandelbrot set, which is generated by looking at the iterations of points, $c$, in the complex plane under the transformation $z\rightarrow z^2 + c$.