Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ia / Paper 3 / 8D / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ib / Paper 3 / 12H / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ib / Paper 3 / 5D / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 10 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 20 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 53 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 9 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 9 / 5 / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ii / Paper 3 / 2G / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / ii / Paper 3 / 3F / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ia / Paper 3 / 8D / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 2 / 12A / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 2 / 14F / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ib / Paper 4 / 12A / Solution

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= Möbius map
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A Möbius transformation of the Riemann sphere has the form
$$
z\longmapsto\frac{az+b}{cz+d},
\qquad ad-bc\ne0.
$$
The group is generated by translations, nonzero complex scalings, and inversion $z\mapsto1/z$.


Möbius transformation

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 Incoming links: Möbius transformation