Abstract
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.
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References
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Acknowledgments
The authors would like to thank the members of Transmathematica for many helpful discussions. The first author’s research was financially supported, in part, by the Federal Institute of Education, Science and Technology of Rio de Janeiro, campus Volta Redonda and by the Program of History of Science, Technique and Epistemology, Federal University of Rio de Janeiro. The second author’s research was financially supported, in part, by the School of Systems Engineering at the University of Reading and by a Research Travel Grant from the University of Reading Research Endowment Trust Fund (RETF).
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dos Reis, T.S., Anderson, J.A.D.W. (2015). Transreal Limits and Elementary Functions. In: Kim, H., Amouzegar, M., Ao, Sl. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7236-5_15
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DOI: https://doi.org/10.1007/978-94-017-7236-5_15
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