Transcomplex Topology and Elementary Functions

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.   

Citation of paper copy:

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.