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There is nothing ‘complex’ about complex numbers. In fact, Gauss even suggested a name change: lateral numbers.
Complex numbers are a tool to talk about rotations and dilations (together known as screw similarity). However, they have far-reaching applications in number theory and geometry. For example, all isometries in hyperbolic plane can be described by Mobius transformations.

Course Curriculum

Geometry of Screw Similarity 00:00:00
Field Properties of Complex Numbers 00:00:00
n roots of unity, Primitive roots 00:00:00
Complex Numbers in Geometry 00:00:00

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