Integral on transcomplex numbers

[thumbnail of Integral_on_Trranscomplex_Numbers_Author_Final.pdf]
Preview
Text - Accepted Version
· Please see our End User Agreement before downloading.
| Preview

Please see our End User Agreement.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

dos Reis, T. S. and Anderson, J. (2019) Integral on transcomplex numbers. In: World Congress on Engineering 2019, 3-5 July 2019, London, UK, pp. 90-94. (ISBN 9789881404862)

Abstract/Summary

The usual complex integral is defined in terms of complex numbers in Cartesian form but transcomplex numbers are defined in polar form and almost all transcomplex numbers, with infinite magnitude, have no Cartesian form. However, there are eight infinite, transcomplex numbers which do have a Cartesian form and these can be used to define the transcomplex integral as the limit of sums of these eight numbers. Thus we introduce the transcomplex integral.

Item Type Conference or Workshop Item (Paper)
URI https://reading-clone.eprints-hosting.org/id/eprint/81003
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
Download/View statistics View download statistics for this item

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Search Google Scholar