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Algebraic Programming and Differential Forms

Volume 2, Issue 1
Frank Zizza, Willamette University

This article describes a general method for linear algebra and exterior algebra computations. The utilities MakeLinearObject, MakeLinearMap, and MakeMultilinearMap implement the properties of linearity, enabling the programmer to enter definitions of transformations on basis elements. Linear maps, derivations and bilinear operations can be handled with the same ease. The article concludes with an application to exterior algebras and differential forms.

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