APPENDIX A.3 - Complex Numbers
Section A.3, page A-16
Problem 10
We want to know where |z+1| is greater than or equal to |z|. This corresponds to the real inequality: Let's see:
> | simplify((x+1)^2+y^2-(x^2+y^2)); |
So we need 2x+1 bigger than 0. So the region where this is true is to the right of the vertical line Re(z)=-1/2.
Problem 24
To find square roots of i, we solve the equation:
> | solve(z^2=I); |