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A Vector Algebra and Calculus Package for REDUCE

A Vector Algebra and Calculus Package forREDUCED avid HarperAstronomy UnitQueen Mary and Westfield CollegeUniversity of LondonMile End RoadLondon E1 4 NSEnglandElectronic IntroductionThis package1is written in RLISP (the LISP meta-language) and is intendedfor use with REDUCE It provides REDUCE with the ability to performvector Algebra using the same notation as scalar Algebra . The basic algebraicoperations are supported, as are differentiation and integration of vectorswith respect to scalar variables, cross product and dot product, componentmanipulation and application of scalar functions ( ) to a Vector toyield a Vector set of Vector Calculus operators are provided for use with any orthogonalcurvilinear coordinate system.

4 VECTOR CALCULUS 4 4 Vector calculus The vector calculus operators div, grad and curl are recognised. The Lapla-cian operator is also available and may be applied to scalar and vector

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