The behavior of elementary transcendental functions, with a real

argument (x), are well known (or should be) to every science student

and researcher. However, this is not the case for the same functions

with a complex argument (z = x+iy; x,y real).

Having developed the appropriate software, mathematical functions

in the complex plane can be presented in an esthetically pleasing

format. For educational purposes (only!), the high-resolution image

of

f(z) = 1/z, z = x+iy, -1<= x <= +1, -1<= y <=+1

may be viewed and downloaded at

http://www.iging.com/Transcendental/...xTF%5C1oZF.jpg
Enjoy.

D. Baruth

X87(at)iging(dot)com