On an ambiguity in the concept of partial and total derivatives in classical analysis

1999/06/12 by Andrew E. Chubykalo, Rolando A. Flores, Juan A. Pérez
Mathematics · Physics and Astronomy · #math.CA #math-ph #math.CT #math.MP

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published as Proceedings of the International Workshop "Lorentz Group, CPT and Neutrinos" Zacatecas, Mexico, June 23-26, 1999 (World Scientific, 2000, eds. A. E. Chubykalo, V. V. Dvoeglazov, D. J. Ernst, V. G. Kadyshevsky and Y. S. Kim), pp. 384-396 · ReVTeX file, 15pp

arxiv created 1999/06/12 · arxiv updated 2009/11/30

Abstract

Ambiguity is shown in the context of the differential calculus of several variables and with the help of the language of category theory, a way to solve it in its most general form is offered. It is also shown that this new definition is related to other well-known definitions in the literature.

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