Mathematical Physics

    

Differentials as Tensors and the Taylor Series

Authors: Anamitra Palit

The article considers tensor transformations of the differential elements pertaining to the coordinates to derive that the nth order differential behaves as a tensor. This stands in contradiction to accepted notions. It also derives by considering the Taylor series, a significant and an unexpectedly conflicting result that the nth order partial derivatives of scalar functions with respect to the coordinates behave like rank ‘n‘covariant tensors.

Comments: 7 Pages.

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Submission history

[v1] 2020-11-13 23:14:49

Unique-IP document downloads: 421 times

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