Abstract
In this chapter we give a short introduction to the mathematics of pseudo-complex variables and functions. For now, we provide a rather informal presentation of the necessary mathematical tools, such that the reader is familiarized with the notation and concepts and is prepared to follow the construction of the new theory of pseudo-complex General Relativity in the next chapters.
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References
F. Antonuccio, Semi-Complex Analysis and Mathematical Physics (1993), http://arxiv.org/abs/gr-qc/9311032v2
P.M. Gadea, J. Grifone, J. Muñoz, Masqué. Manifolds modelled over free modules over the double numbers. Acta Math. Hungar 100, 187 (2003)
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© 2016 Springer International Publishing Switzerland
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Hess, P.O., Schäfer, M., Greiner, W. (2016). Mathematics of Pseudo-complex General Relativity. In: Pseudo-Complex General Relativity. FIAS Interdisciplinary Science Series. Springer, Cham. https://doi.org/10.1007/978-3-319-25061-8_1
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DOI: https://doi.org/10.1007/978-3-319-25061-8_1
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