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A Unipodal Algebra Package for Mathematica

In: Clifford Algebras with Numeric and Symbolic Computations

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  • Garret Sobczyk

    (Universidad de las Americas, Departamento de Fisico-Matematicas)

Abstract

This article discusses unipodal numbers, a kind of hyperbolic version of the complex plane, where the imaginary unit is replaced by a unipotent u 2 = 1, u ≠ ±1. A function theory for unipodal numbers is sketched, the values of functions are evaluated using minimal polynomials, and a related computer package for MATHEMATICA is described. Unipodal numbers offer a nice first step for teachers of Clifford algebra.

Suggested Citation

  • Garret Sobczyk, 1996. "A Unipodal Algebra Package for Mathematica," Springer Books, in: Rafał Abłamowicz & Josep M. Parra & Pertti Lounesto (ed.), Clifford Algebras with Numeric and Symbolic Computations, pages 189-199, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-8157-4_12
    DOI: 10.1007/978-1-4615-8157-4_12
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