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Mapping question I don't understand

  1. Dec 5, 2013 #1
    Hi I uploaded the question and its answer first of all I am not good at all in mapping I don't understand it that much like here we want the output of the function under that specific domain that's what we want to see.
    I understand until PI < alpha < 5/2 * PI but I don't understand how did he get
    f(D) = {|z| < 2 , -PI < Arg(z) < PI/2} I don't get that could someone please explain because I need to understand this.
     

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  2. jcsd
  3. Dec 5, 2013 #2

    LCKurtz

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    Gold Member

    If you take the range ##\pi < \alpha <\frac 5 2 \pi##, you can subtract ##2\pi## from the ##\pi## and ##\frac 5 2 \pi## and it is the same region in the plane. So ##-\pi < \alpha < \frac \pi 2## describes the same region.
     
  4. Dec 5, 2013 #3
    Oh I see that makes alot of sense thank you !!!!
     
  5. Dec 5, 2013 #4
    could you please also like explain maybe more about this question about how did he arrive to this solution coz I am not sure that my understanding is correct or intuition is right..
     
  6. Dec 5, 2013 #5

    Mark44

    Staff: Mentor

    Which part don't you understand?
     
  7. Dec 6, 2013 #6
    So I was wondering how do we systematically solve stuff like this ? are we looking for how some function output under certain set of conditions ? like for example f(x) = x^2 and we restrict the domain to be something like
    [0,2] and see what is the range of output we are trying to get ?? I don't really understand what's going on here I just know how to solve in some scenrios but I don't get are we actually doing ...
     
  8. Dec 7, 2013 #7
    Is there systematic way to do these kind of problems?
     
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