Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

MacLaurin Series

  1. Mar 7, 2008 #1
    Today, we're taught that MacLaurin series is just another name for Taylor series at x = 0. Then what is the speciality of it? Why doesn't x = 1 or x = 2 have a special name?
     
  2. jcsd
  3. Mar 7, 2008 #2
    Mostly historical reasons.
     
  4. Mar 7, 2008 #3
    the same reason why the log base e is called the natural/naperian logarithm and all the others are just log base b.
     
  5. Mar 7, 2008 #4
    It's just easier to write polynomial approximations centered at x=0. Centering them at something else would make (x-a), where a is some shift other than zero (zero would be maclaurin, and so it wouldn't be written).
     
  6. Mar 7, 2008 #5
    Not ture. The difference between a MacLaurin series and a taylor series is that a Maclaurin series can have terms of the form 1/z^n. It depends upon the order of the poles at the point you find the series expansion.
     
  7. Mar 8, 2008 #6
    I believe that you are thinking of a Laurant series.
     
  8. Mar 8, 2008 #7
    Oh, maybe so. It's been too long sense I have taken a course in complex variables.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: MacLaurin Series
  1. Maclaurin series (Replies: 3)

  2. Maclaurin series (Replies: 2)

Loading...