Re: Trouble with chapter 5

I have another question about chapter 5 and complex powers:

I'm having trouble understanding the solution given on

viewtopic.php?f=19&t=100 for exercise 5.9 mainly because I can't seem to tell how we can multiply

by

an integer number times and get an allowable

.

Is it simply something like this

if

? And why is

chosen as a second spiral?

I felt like I should remain in this post since you might be monitoring it. Please forgive me for my lack of clarity, this is my first experience with anything in the realm of complex analysis and it all seems a little 'imaginary' to me :-p.

EDIT: I think I realized that

was chosen since

and since

is

then the other spiral is just found by subtracting an integral multiple of

.