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Abstract
We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors which leads to greater geometric insight and a higher degree of organization in analytical expressions. We demonstrate the effectiveness of the approach by proving a number of integral identities with vector integrands. The presented approach may be aptly described as absolute vector calculus or as vector tensor calculus.
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Details
Title
A Vector Tensor Calculus Description of a Euclidean Space
Creators
Pavel Grinfeld - Drexel University
Publication Details
Journal of applied mathematics and physics, v 11(3), pp 705-720