What software can I use to visualize transformations of the plane?

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Discussion Overview

The discussion centers around software options for visualizing transformations of the plane, specifically focusing on a mathematical transformation involving variables u and v. Participants explore various software packages that could facilitate this visualization.

Discussion Character

  • Technical explanation, Debate/contested, Meta-discussion

Main Points Raised

  • One participant presents a specific transformation defined by the equations u=cot-1(1/α y/x) and v=αx2+y2/α.
  • Another participant lists several mathematics and graphics software packages, including MATLAB, Maple, Maxima, Octave, Scilab, Tecplot, and Gnuplot, suggesting they are useful for visualization.
  • A participant inquires about the availability of free software options among those listed.
  • A response indicates that Tecplot, MATLAB, and Maple require payment, but mentions that students may receive discounts through their universities.

Areas of Agreement / Disagreement

Participants have not reached a consensus on which software is the best option for visualizing the transformation, and there is a mix of paid and free software options discussed.

Contextual Notes

The discussion does not clarify the specific features or capabilities of the mentioned software in relation to the transformation visualization, nor does it address the potential limitations of each software package.

Who May Find This Useful

Individuals interested in mathematical visualization, particularly those looking for software to visualize transformations in the plane, including students and professionals in mathematics or engineering fields.

sari
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For example, I would like to visualize the transformation

u=cot-1(1/α y/x)
v=αx2+y2/α
 
Physics news on Phys.org
mathematics packages:
matlab, maple, maxima, octave, scilab
graphics packages:
tecplot, gnuplot.

There are probably dozens (hundreds?) more, but these are the ones I use.
 
Thanks! Are any of those free?
 
you have to pay for tecplot, MATLAB and maple, but if you are a student then your university might get you a discount.
 

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