The Extended Complex Plane (Riemann Sphere)

Описание к видео The Extended Complex Plane (Riemann Sphere)

This video introduces the extended complex plane, obtained by adjoining the symbol "infinity" to the complex plane. Then we extend the stereographic projection to take values on the whole sphere (including the north pole) to obtain a bijection with the extended complex plane. The majority of the video goes through the proof that the stereographic projection takes circles on the sphere to circles (or lines) in the extended complex plane.

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