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MathGroup Archive 2004

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Re: displaying images in the complex plane

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45931] Re: displaying images in the complex plane
  • From: bobhanlon at aol.com (Bob Hanlon)
  • Date: Fri, 30 Jan 2004 04:15:57 -0500 (EST)
  • References: <bvans2$9ot$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Complex mapping is available in a standard add-on  package

Needs["Graphics`ComplexMap`"];

CartesianMap[Tan, {-7Pi/16, 7Pi/16, Pi/16}, 
    {-7Pi/16, 7Pi/16, Pi/16}, ImageSize->400];


Bob Hanlon

In article <bvans2$9ot$1 at smc.vnet.net>, "Florian Jaccard"
<florian.jaccard at eiaj.ch> wrote:

<< I have been explained the following way :

You grid the Gaussian space and look to what the points are transformed :

Clear[des, f];
des[f_, {xmin_, xmax_}, {ymin_, ymax_}] :=
  Module[{gr, x, y, lv, lh},
   gr = Table[{Re[f[x + I*y]], Im[f[x + I*y]]},
      {x, xmin, xmax, (xmax - xmin)/20},
      {y, ymin, ymax, (ymax - ymin)/20}];
    lv = Line /@ gr; lh = Line /@ Transpose[gr];
    Show[Graphics[{lv, lh}, AspectRatio ->
       Automatic]]; ]


You can try it on your example :

des[Tan[#1] & , {-(Pi/2) + 0.1, Pi/2 - 0.1},
  {-(Pi/2) + 0.1, Pi/2 - 0.1}]

Meilleures salutations

Florian Jaccard
University of Applied Sciences
EIAJ
Le Locle
Switzerland

-----Message d'origine-----
De : Nathan Moore [mailto:nmoore at physics.umn.edu]
Envoyé : mer., 28. janvier 2004 11:19
À : mathgroup at smc.vnet.net
Objet :  displaying images in the complex plane


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?


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