Answered
I am teaching myself and only have high school math in terms of formal training.(62 Yrs)
I dont really know how this site works but here goes.
Per the attached -I would expect to see intersection on the Z axis at + and - i for y= x^2 +1
Removing the x and y axis does not remove the element of dimension either .ie just plotting on z axis only
What's a tag ? referred to (in context of) below ?
Files:
TEST 1.png
The same question 
Hi,
The expression y = x^2 + 1, for complex numbers gives you two solutions: i and -i, the imaginary constant i = (-1)^(1/2)
In the complex plane the above expression can be written as w = z^2+1, which cannot be represented easily since it lives in the 4 dimensional space. Instead, we need to use some techniques to be able to see it. If you plot the real and imaginary part of this expression separately then we can get a picture of the two roots: i, and -i. The image you should get is the following:
It was made with this applet: https://www.geogebra.org/m/ZPzSWzX7
If you are learning complex analysis the videos recommender by @mathmagic are great. I would like to recommend also this online book:
https://complex-analysis.com/
Kind regards.
What do you want exactly? That surface doesn't cross the z-axis (blue)
este es el capitulo 13 de algo que te puede resultar interesante desde el capitulo 1
https://www.youtube.com/wat...
Hi,
The expression y = x^2 + 1, for complex numbers gives you two solutions: i and -i, the imaginary constant i = (-1)^(1/2)
In the complex plane the above expression can be written as w = z^2+1, which cannot be represented easily since it lives in the 4 dimensional space. Instead, we need to use some techniques to be able to see it. If you plot the real and imaginary part of this expression separately then we can get a picture of the two roots: i, and -i. The image you should get is the following:
It was made with this applet: https://www.geogebra.org/m/ZPzSWzX7
If you are learning complex analysis the videos recommender by @mathmagic are great. I would like to recommend also this online book:
https://complex-analysis.com/
Kind regards.
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