Software for drawing two-variable functions in polar coordinates

Question

I am in difficulty of finding a software for drawing two-variable functions in polar coordinates. Could someone introduce useful software for me? Thanks in advance. For example $$ f(r, \theta)=\begin{cases} r\cos(\theta+\ln r)& r>0,\\ 0& r=0, \end{cases} $$

Answer 1

I would imagine that any CAS would be able to do it.

• It looks like MatLab has a 3d-polar-plotting
• It looks like the free SAGE has 3d-polar-plot
• I tried your function using Mathematica's SphericalPlot3D command.

Here are two views of this function for both variables over $(0, 2 \pi)$ and the third over $(0, 4 \pi)$..

Here is changing which parameter is plotted first.