1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex mapping

  1. Jul 31, 2009 #1
    For f(z) = z^2 find the image of x + y = 1

    f(z) = z^2 = (x + iy)^2 = x^2 + 2ixy - y^2

    u(x,y) = x^2 - y^2
    v(x,y) = 2xy
  2. jcsd
  3. Jul 31, 2009 #2


    Staff: Mentor

    Here's how I would approach this problem. Every point on the line has coordinates (in the complex plane) of (x, 1 - x). A point on this line can be represented as z = x + i(1 - x). What does your function f do to these complex numbers?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Complex mapping
  1. Complex Mapping (Replies: 3)

  2. Complex Mapping (Replies: 3)