Re: [math-fun] Continuous argument

On 3/30/14, Fred Lunnon <fred.lunnon@gmail.com> wrote:

Around the negative real axis, I think the continuous arg() surface resembles a multi-storey carpark, with spiral staircases of ramps in alternating senses around the poles. Two cars setting off from the same point and navigating up neighbouring ramps in opposite senses will collide again on the next floor/sheet --- have I got that right?

Sorry, that was not quite correct: rather u = arg(gamma(z)) spirals left-handedly around every pole, clockwise looking down along the u-axis. For some reason this simpler situation seemed harder to visualise ... WFL