Results 1 to 6 of 6

Math Help - Complex Analysis

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    8

    Complex Analysis

    Hi guys, not sure where to start on this, i know i = root -1 but thats about it!

    Find all values of :
    1. log(2 − 2i)

    2. (1 − i)^2+i

    3. tan−1(2i)

    4. (2i + 2)^1/4
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,790
    Thanks
    1687
    Awards
    1
    Quote Originally Posted by HenrySellers View Post
    Hi guys, not sure where to start on this, i know i = root -1 but thats about it!
    Find all values of :
    1. log(2 − 2i)
    2. (1 − i)^2+i
    3. tan−1(2i)
    4. (2i + 2)^1/4
    When you write "not sure where to start on this" what do you mean?
    Surely you are in some sort of course studying complex numbers.
    And surely that course has text material.

    You should also understand that this is not a homework service nor is it a tutorial service. Please either post some of your own work on this problem or explain what you do not understand about the question.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2009
    Posts
    8
    I actually havent seen any examples, I genuinely dont understand. Maybe if someone guided me through the first one I could learn that way. And im not doin any course, im just learning myself!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,790
    Thanks
    1687
    Awards
    1
    Then why are you trying to do something you have never seen?
    In order to do any of these you need two basic concepts.
    What is the value of the absolute value of a complex number, |z|.
    You need to find the argument of a complex number, \arg(z).

    We define \log(z) as \ln(|z|)+i(\arg(z)+2k\pi)

    We define z^w as \exp(w\log(z)) .

    It usually takes three to six weeks in basic complex variables to reach this point in the material. We will not do the course here.
    Last edited by Plato; March 14th 2011 at 12:50 PM.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member TheChaz's Avatar
    Joined
    Nov 2010
    From
    Northwest Arkansas
    Posts
    600
    Thanks
    2
    Using the above definitions, we have:
    1. log(2 − 2i) and observe that |2 - 2i| = 2√2, and the argument is 7pi/4
    Can you plug these into the formula for log(z)?

    p.s. Don't call me Shirley.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Mar 2010
    Posts
    46
    did you get anywhere on this im stuck on the exact same questions!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: October 4th 2011, 05:30 AM
  2. Replies: 6
    Last Post: September 13th 2011, 07:16 AM
  3. Replies: 1
    Last Post: October 2nd 2010, 01:54 PM
  4. Replies: 12
    Last Post: June 2nd 2010, 02:30 PM
  5. Replies: 1
    Last Post: March 3rd 2008, 07:17 AM

Search Tags


/mathhelpforum @mathhelpforum