SPEAKER: Douglas Bridges (Mathematics & Statistics, University of Canterbury)

TITLE: Differentiating x^n in a Ring

ABSTRACT:
It is well known (?) that the product rule of di¤erentiation can
be derived from the sum rule and the 2nd power property,

d/dx(u^2) = 2u*du/dx.

In this talk I discuss conditions under which the additivity and nth power property
of a mapping D of a ring into itself ensure that D satis?es the analogue of the
product rule. The (minimal) necessary information about rings will be included
in the talk.