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.