RE: displaying images in the complex plane

*To*: mathgroup at smc.vnet.net*Subject*: [mg45913] RE: [mg45873] displaying images in the complex plane*From*: "David Park" <djmp at earthlink.net>*Date*: Thu, 29 Jan 2004 05:35:57 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Just think of the tangent function as a parametrization of the sphere, produced by a wacky cartographer, that puts the Greenwich meridian along the equator and the North pole somewhat West of the Gilbert Islands. If you don't believe me, just map it to the Riemann sphere! David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Nathan Moore [mailto:nmoore at physics.umn.edu] To: mathgroup at smc.vnet.net Does any body have a favorite way of showing images in the complex plane? Suppose I want to represent the function Tan[z], where z = a + bi, how would you display that image if you were trying to explain the complex plane to your students? Nathan Moore University of Minnesota Physics