Transcomplex Topology and Elementary Functions
journal contribution
posted on 2016-07-07, 10:04 authored by James AndersonJames Anderson, Tiago s. dos ReisTiago s. dos Reis<p>
The set of transcomplex numbers, introduced elsewhere, is a superset of
the complex numbers that allows division by zero. Here we introduce a topology
for the transcomplex numbers and extended the elementary functions from the
complex domain to the transcomplex domain. We give a geometrical construction
of non-finite angles and discuss the totalisation of computer subroutines to
provide transcomplex functions. </p><p>Citation of paper copy:</p><p>
T.
S. dos Reis & J. A. D. W. Anderson, “Transcomplex Topology and Elementary
Functions,” World Congress on Engineering 2016, London, 29 June - 1 July, eds.
S. I. Ao, Len Gelman, David W. L. Hukins, Andrew Hunter, A. M. Korsunsky,
publisher International Association of Engineers, pp. 164-169, 2016. </p>
