# Complex Numbers

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## 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 $z\rightarrow z^2 + c$.