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Foundations of Transcomplex Numbers
Foundations of Transcomplex Numbers
Date: 23 May 2011, 02:43

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This book is about a generalization of the 2-dimension complex number system to a generalized 4-dimension system of complex numbers here called the Transcomplex Number System. As a consequence, it is also about an extension of the Cartesian coordinate system to a new hyperspace, the Transcomplex Space S4, to represent transcomplex functions and variables. I am convinced that the graphs of complex functions are not adequately represented on the complex Cartesian coordinates. When complex functions are plotted using this coordinate system the resulting graph tells very little about the true function behavior.

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