The Right Setting of the Quaternion Calculus
Palabras clave:
Quaternion and other division algebras, exterior differential systems, harmonic functions.Resumen
Quaternionic analysis, it is usual to persist in pointing out to their distinguishedcharacteristics. It is our aim in this paper, by contrast, to set forth a
natural (i.e. canonical) and rather comprehensive account of the quaternion
calculus. Accordingly, we show that a proper notion of quaternionic derivative
leads to the fundamental integral theorem which generalizes straightforwardly
the better-known complex and real cases.
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