Complex Elementary (Transcendental) Functions: f(z) = 1/z

28/10/2008 - 06:21 von Dan | Report spam
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...5C1oZF.jpg

Enjoy.

D. Baruth
X87(at)iging(dot)com
 

Lesen sie die antworten

#1 Chip Eastham
29/10/2008 - 15:36 | Warnen spam
On Oct 28, 1:21 am, Dan wrote:
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...5C1oZF.jpg

Enjoy.

D. Baruth
X87(at)iging(dot)com



Hi, Dan:

I can understand the value of a graphical display of
complex functions, but to be picky about terminology,
rational function f(z) = 1/z is not transcendental.

regards, chip

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