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Multivector functions of a real variable

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Abstract

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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Bibliography

  1. Fernández, V. V., Moya, A. M., and Rodrigues, W. A. Jr., Euclidean Clifford Algebra (paper I of a series of seven), this issue ofAACA 11 (S3) (2001).

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Authors and Affiliations

  1. Institute of Mathematics, Statistics and Scientific Computation, IMECC-UNICAMP, CP 6065, 13083-970, Campinas, SP, Brazil

    A. M. Moya & V. V. Fernández

  2. Department of Mathematical Sciences, University of Liverpool, L69 3BX, Liverpool, UK

    W. A. Rodrigues

Authors
  1. A. M. Moya
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  2. V. V. Fernández
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  3. W. A. Rodrigues
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Moya, A.M., Fernández, V.V. & Rodrigues, W.A. Multivector functions of a real variable. AACA 11 (Suppl 3), 69–77 (2001). https://doi.org/10.1007/BF03219148

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  • DOI: https://doi.org/10.1007/BF03219148

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