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.
|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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