Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ia / Paper 1 / 6B / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ia / Paper 1 / 6B / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ib / Paper 1 / 13E / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ib / Paper 1 / 16B / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / ib / Paper 4 / 13G / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 31 / 5 / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 5 / 4 / Solution

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 5 / 5 / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / ia / Paper 3 / 7B / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / ia / Paper 3 / 7B / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / ib / Paper 1 / 13F / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / ib / Paper 1 / 16B / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 50 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 51 / 2 / 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