Does anyone want to talk about....Quaternion Differential Calculus?

[MiloE]

How did you find PF?

google

I was analyzing the stock market and wanted to know what math I was using, to describe the formula I was using, which I discovered later to be Differential Calculus. I was messing around with a growth rate of my stocks when I got lost in the application of near a dozen types of formulas to check my result. My answer was positive and negative, and the calculator bugged out and just set itself to Infiniti symbol. I am now interested in Quaternion Differential Calculus. -Emiliano Alohi Espinoza

 

[strangerep]

Well? Ask a more specific question in the "Calculus" forum.

I read a book on quaternionic calculus a long time ago (in connection with someone's attempted generalization of ordinary quantum mechanics), but I never found it to be particularly useful, at least for my purposes.

One difficult problem with quaternionic calculus arises almost immediately when you try to generalize the Cauchy-Riemann (CR) equations from complex calculus. In the latter case, all is well, and the CR notion of analyticity is a powerful and far-reaching tool. But in the quaternionic case, the corresponding equations are overdetermined, which is inconvenient.

(Btw, if you're not yet proficient in complex variable calculus, contour integration, and all that, it might be best to study that first.)