General Mathematics

    

Operations, Analysis and Fractals Without Complex Numbers

Authors: Jaime Vladimir Torres-Heredia Julca

This paper is a continuation of viXra:2508.0176, in which we saw that we can avoid theconcepts of negative number and complex number thanks to the study of the underlying vectornature of some arithmetic and polynomial problems. With the solutions of the polynomialequations which were actually geometrical, in the Euclidean vector space, we will constructseveral operations which are analogous to what we have seen until now with "complex numbers".We will show also the representations of functions whose arguments are vectors. We will see thebasic elements needed in order to rebuild all what has been constructed in complex analysis.We will show also that we can construct the Mandelbrot set in the Euclidean vector space.

Comments: 16 pages, 6 figures

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Submission history

[v1] 2025-10-31 18:33:29

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