# Quaternionic analysis motivation

I have just heard of quaternionic analysis. It seems like the goal of this subject is to carry over concepts like homorphicity etc. from complex numbers to quaternions. However, these concepts seem to lose some of the nice properties that we have in complex analysis (eg. derivatives are no longer independent of the path we approach $x_0$ on), so what is the motivation for studying this subject? What are its uses?

• I've heard that Maxwell's equations were used in quaternion form before the actual vector form. I've not seen those equations, but I think it was a good application of it. Aug 14 '18 at 18:44