Can Complex Numbers Be Viewed as Real Numbers on the X and Y Plane?

[Leo Authersh]

How is it possible to ignore the addition sign and imaginary number without contradicting fundamental Mathematics?

I find it difficult to understand.

 

[BvU]

Hi,
We don't ignore anything. Don't contradict anything either.

X² + Y² = (X + iY)/(X + iY)

is not correct. Where did you get this ?

 

[mfb]

How can we consider a complex number as two separate real numbers for in X and Y plane?

It is just a different way to represent the numbers.
By giving the real and imaginary part of a complex number you can uniquely identify this number.

An analogy in the positive integers: You can write every number by its prime factorization.
You can write 2*3*5 or "2,3,5" instead of 30. Same thing, just written in a different way, and there is a 1:1 relation between numbers and their prime factorization.

 

[fresh_42]

And always worth a read if it comes to complex numbers is
https://www.physicsforums.com/insights/things-can-go-wrong-complex-numbers/

 

[Leo Authersh]

Hi,
We don't ignore anything. Don't contradict anything either.
is not correct. Where did you get this ?

True that. I have edited it. But my question is correct and after thinking about it, I have found the answer myself. I just find it hard to put into words the exact thing in my mind. That's why the question is incomprehensible. But I think fresh_42 has understood my question.

Thank you for the answer BvU :)

 

[Leo Authersh]

And always worth a read if it comes to complex numbers is
https://www.physicsforums.com/insights/things-can-go-wrong-complex-numbers/

Hi fresh_42 I skimmed through this article and it seems like it addresses my question. Thank you for the link. Will let you know once I read it fully.