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

AI Thread Summary
To visualize the transformation u=cot-1(1/α y/x) and v=αx²+y²/α, several software options are recommended, including MATLAB, Maple, Maxima, Octave, and Scilab for mathematics, and Tecplot and Gnuplot for graphics. While Tecplot, MATLAB, and Maple require payment, students may receive discounts through their universities. Maxima, Octave, and Gnuplot are free alternatives. The discussion highlights the importance of selecting the right tools for effective visualization of mathematical transformations. Overall, a variety of both paid and free software options are available for this purpose.
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
 
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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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