Multivector Functions of a Multivector Variable

Details Multivector Functions of a Multivector Variable Multivector Functions of a Multivector Variable

2002-12-17

arxiv.org/abs/math/0212223v2

Advances in Applied Clifford Algebras 11(S3), 79-91 (2001)

Mathematics

General Mathematics

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Scientific paper

In this paper we develop with considerable details a theory of multivector functions of a $p$-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 $A$% -directional derivative (where $A$ is a $p$-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.

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