  As was the case in a previous paper, the differential form x+ydxdy plays the
role that the variable z plays in the standard calculus of complex variable.
The role of holomorphic functions will now be played by strict harmonic
differential forms in the Kaehler algebra of the real plane. These differential
forms satisfy the Cauchy-Riemann relations. No new concept of differentiation
is needed, and yet this approach parallels standard Cauchy theory, but more
simply. The power series and theorem of residues belong here at the end, unlike
in the previous paper.

General Mathematics