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MathGroup Archive 2009

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Re: Complex solutions to simple equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg104786] Re: [mg104705] Complex solutions to simple equations
  • From: "David Park" <djmpark at comcast.net>
  • Date: Tue, 10 Nov 2009 05:57:54 -0500 (EST)
  • References: <25345246.1257595006604.JavaMail.root@n11>

I generated a solution using Presentations. It should appear in a few days
on Peter Linday's site: 

http://blackbook.mcs.st-and.ac.uk/~Peter/djmpark/html/ 

at the University of St Andrews School of Mathematics and Statistics:

http://www.mcs.st-and.ac.uk/ 

There are both Mathematica notebooks and PDF files there for solutions to
various MathGroup questions.

The solution uses the ComplexPolar representation of complex numbers that is
in Presentations. There are also routines for expanding ComplexPolar
expressions and for converting to and from Cartesian form. This is often
used in the introductory part of a complex analysis course and then dropped
for the exponential representation. The polar notation is however quite
useful in calculations, for displaying complex numbers and in Presentations
for specifying iterators in polar plots. And, of course, it is also useful
for didactic purposes.


David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/  


From: dragonman [mailto:morrisneedleman at gmail.com] 

I want the solutions to x^n=1 to appear in the form r(cos theta +isin
theta) and then to graph them on an Argand diagram. Any advice given
would be much appreciated.




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