Abstract
In this paper we develop with considerable details a theory of multivector functions of ap-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., theA-directional derivative (whereA is ap-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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Bibliography
Fernández, V. V. Moya, A. M., and Rodrigues, W. A. Jr., Extensors (paper II of a series of seven), this issue ofAACA 11(S3), (2001).
Fernández, V. V., Moya, A. M., and Rodrigues, W. A. Jr., Multivector Functions of a Real Variable (paper V of a series of seven),AACA 11(S3), (2001)
Hestenes, D. and Sobczyk, G., “Clifford Algebra to Geometric Calculus”, Reidel Publ. Co., Dordrecht, 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Moya, A.M., Fernández, V.V. & Rodrigues, W.A. Multivector functions of a multivector variable. AACA 11 (Suppl 3), 79–91 (2001). https://doi.org/10.1007/BF03219149
Issue Date:
DOI: https://doi.org/10.1007/BF03219149