Multivector Functions of a Multivector Variable
General Mathematics
2016-08-16 v2
Abstract
In this paper we develop with considerable details a theory of multivector functions of a -vector variable. The concepts of limit, continuity and differentiability are rigorously studied. Several important types of derivatives for these multivector functions are introduced, as e.g., the % -directional derivative (where is a -vector) and the generalized concepts of curl, divergence and gradient. The derivation rules for different types of products of multivector functions and for compositon of multivector functions are proved.
Keywords
Cite
@article{arxiv.math/0212223,
title = {Multivector Functions of a Multivector Variable},
author = {A. M. Moya and V. V. Fernández and W. A. Rodrigues},
journal= {arXiv preprint arXiv:math/0212223},
year = {2016}
}
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