A simple Complex Analysis Mapping

  • #1

Homework Statement


http://img684.imageshack.us/img684/779/334sn.jpg [Broken]


The Attempt at a Solution



The first part was fairly straightforward, solve for z + 1, and then get w in terms of u + iv, rationalise the denominator, and then we get (x,y) in terms of u and v, which we substitute back into the equation of the line, and get it into the form of an equation of a circle.

The next part is not as obvious for me, I tried the same method, but I couldn't rationalise the denominator, I'm assuming the circle is shifted somehow because of the 2, but I'm not sure.
 
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Answers and Replies

  • #2
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0

Homework Statement


http://img684.imageshack.us/img684/779/334sn.jpg [Broken]


The Attempt at a Solution



The first part was fairly straightforward, solve for z + 1, and then get w in terms of u + iv, rationalise the denominator, and then we get (x,y) in terms of u and v, which we substitute back into the equation of the line, and get it into the form of an equation of a circle.

The next part is not as obvious for me, I tried the same method, but I couldn't rationalise the denominator, I'm assuming the circle is shifted somehow because of the 2, but I'm not sure.
If you can't do it with complex numbers, switch to vectors.
 
Last edited by a moderator:

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