Appendix A: Complex analysis
This section contains a brief review of terminology and results from complex analysis that are used in the text.
If z = x + iy is a complex number, x and y real, then
where is the modulus |z| of z and θ is the argument arg z of z. where r = The logarithm
is multiple-valued: defined only up to integer multiples of 2πi. The power
is also multiple-valued, unless a is an integer.
Typically, one makes these functions ...