clear all;
close all;
[x,y] = meshgrid(-3:0.1:3)
z=x+i*y;
fz=1+1./z;
mesh(x,y,abs(fz))
zlim([0,2])


surf(x,y,abs(fz),'FaceColor','interp',...
 'EdgeColor','none',...
 'FaceLighting','phong')
%daspect([2 2 1])
%axis tight
%view(-50,30)
colormap hsv
camlight left
zlim([0,2])
hold on
omega=0:pi/20:2*pi
plot3(cos(omega),sin(omega),0*omega)
plot3(cos(omega),sin(omega),abs(1+exp(-i*omega)),'LineWidth',4)

figure
plot(omega,abs(1+exp(-i*omega)),'LineWidth',4)
grid on