Multivector Functions of a Real Variable

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

2002-12-17

arxiv.org/abs/math/0212222v1

Advances in Applied Clifford Algebras 11(S3), 69-77 (2001)

Mathematics

General Mathematics

Scientific paper

This paper is an introduction to the theory of multivector functions of a real variable. The notions of limit, continuity and derivative for these objects are given. The theory of multivector functions of a real variable, even being similar to the usual theory of vector functions of a real variable, has some subtle issues which make its presentation worhtwhile.We refer in particular to the derivative rules involving exterior and Clifford products, and also to the rule for derivation of a composition of an ordinary scalar function with a multivector function of a real variable.

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