Multivector Functions of a Multivector Variable ∗

نویسندگان

  • A. M. Moya
  • V. V. Fernández
  • W. A. Rodrigues
چکیده

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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تاریخ انتشار 2001