Re: displaying images in the complex plane

*To*: mathgroup at smc.vnet.net*Subject*: [mg45905] Re: [mg45873] displaying images in the complex plane*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Thu, 29 Jan 2004 05:34:58 -0500 (EST)*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst*References*: <200401281019.FAA18487@smc.vnet.net>*Reply-to*: murray at math.umass.edu*Sender*: owner-wri-mathgroup at wolfram.com

I highly recommend David Park's ComplexAnalysis package, which you may download from his web site: http://home.earthlink.net/~djmp/Mathematica.html (You may want to contact him by e-mail to see whether he has any updated version not yet posted there.) The package allows not only direct visualization of a domain in the complex plane and, side-by-side, its image in the complex plane, but the corresponding thing when the complex plane is embedded in the Riemann sphere (and the function lifted from the plane to there). I and my students used Park's package in my undergraduate Complex Analysis course this Fall. Additional examples may be found in notebooks listed on the Files page at my course web site: http://www.math.umass.edu/Courses/Math_421/ See there, especially, IntroComplexGraphics.nb, VisualizeFunctions.nb, ComplexCurves.nb, VisualizeFunctions2.nb, and RiemannSphere.nb. (And note that the version of Park's package in ComplexAnalysis.zip on my course web site is older than what's available from Park's own site.) Nathan Moore wrote: > 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 > > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305

**References**:**displaying images in the complex plane***From:*Nathan Moore <nmoore@physics.umn.edu>