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A Vector Tensor Calculus Description of a Euclidean Space
Journal article   Open access

A Vector Tensor Calculus Description of a Euclidean Space

Pavel Grinfeld
Journal of applied mathematics and physics, v 11(3), pp 705-720
Mar 2023
url
https://doi.org/10.4236/jamp.2023.113047View
Published, Version of Record (VoR)CC BY V4.0 Open

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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