3
votes
2answers
139 views
+50

How do I plot the images of oriented curves under complex transformation?

I'm working on a complex transformation sketch that I'd like to create via mathematica. I'm working with the mapping $w=z^2$, where its real and imaginary parts are $u=x^2-y^2$ and $v=2xy$, ...
0
votes
0answers
113 views

How to add something like a shadow to my resulting figure? [duplicate]

after plotting this function: ...
9
votes
0answers
507 views

Dual complex integral over implicit path using contour plot

Context I am interested in doing double contour integral over paths which are defined implicitely. For the sake of debugging, let's assume its $$\oint_{\cal C}\oint_{\cal C} \frac{1}{u\, x} d u d x$$ ...