I just completed a course on complex variables. I really enjoyed the application sections. I was thinking of studying CV a little more on my own. The question is: is it worth it to study more CV for physics and engineering? What advantage would it give me? Aside: I was browsing through the book "Visual Complex Analysis" Needham and found a stunning statement, at least for me: " The complex mappings that correspond to Lorentz transformations are the Mobius Transformation! Conversely, every Mobius transformation of C yields a unique Lorentz transformation of space-time." Now I may be easily entertained, but I seriously dropped my jaw at this statement. That's too amazing! What more amazing things can be done in C?