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Transreal limits and elementary functions

dos Reis, T. S. and Anderson, J. (2015) Transreal limits and elementary functions. In: Kim, H. K., Amouzegar, M. A. and Ao, S.-l. (eds.) Transactions on Engineering Technologies, World Congress on Engineering and Computer Science 2014. Springer Netherlands, pp. 209-225. ISBN 9789401772358

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To link to this item DOI: 10.1007/978-94-017-7236-5

Abstract/Summary

We extend all elementary functions from the real to the transreal domain so that they are defined on division by zero. Our method applies to a much wider class of functions so may be of general interest.

Item Type:Book or Report Section
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
ID Code:39693
Uncontrolled Keywords:transreal continuity, transreal elementary functions, transreal limits, transreal numbers, transreal sequences, transreal series.
Publisher:Springer Netherlands

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