Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 24F / d

Table of contents
- Solution d

Solution

If

f_{0} (z) = i Log z

is the projection from part (b), then any other Mercator projection

f

gives an automorphism

f \circ f_{0}^{- 1}

of

E

preserving its two ends. Part (c) therefore yields

f (z) = i Log z + i c (c \in R) .

Every map in this family plainly has the required limiting behaviour.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version