Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 11 / 3 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 11 / 3 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 11 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 11 / 6 / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 24 / 5 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / ii / Paper 4 / 3G / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ia / Paper 3 / 7E / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 3 / 12G / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 3 / 12G / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ib / Paper 4 / 15C / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 10 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 1 / 11G / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 3 / 8C / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / ia / Paper 3 / 7D / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / ib / Paper 2 / 12G / ii / 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