In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form
Image: Mobius Identity
Image: Mobius Small Neg Elliptical
Image: Mobius Large Pos Elliptical
Image: Mobius Small Neg Hyperbolic
August Ferdinand Möbius was a German mathematician and theoretical astronomer.
August Ferdinand Möbius
1843 copy of Die Elemente der Mechanik des Himmels
First page to a 1843 copy of Die Elemente der Mechanik des Himmels