English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

I consider differential of mapping $f$ of continuous division ring as linearmapping the most close to mapping $f$. Different expressions which correspondto known deffinition of derivative are supplementary. I explore the Gateauxderivative of higher order and Taylor series. The Taylor series allow solvingof simple differential equations. As an example of solution of differentialequation I considered a model of exponent.  I considered application of obtained theorems to complex field and quaternionalgebra. In contrast to complex field in quaternion algebra congugation islinear function of original number \bar a=a+iai+jaj+kak . In quaternion algebrathis difference leads to the absence of analogue of the Cauchy Riemannequations that are well known in the theory of complex function.

The Gateaux Derivative of Map over Division Ring