Thanks a lot for reply, it has become much clearer now.
I'd like to be sure I got your idea. Can we consider space of complex numbers to be effectively space ℝ2 equipped with special constraint coupling ℝ and ℝ? That means complex number to be a single entity (in some cases one can find it...
Notion of differentiability (analyticity) for function of complex variable is normally introduced and illustrated by comparison with function of single real variable.
It is stated that there are infinite number of ways to approach any given point of complex plane where function is defined, not...