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

Mathematics – Classical Analysis and ODEs

Scientific paper

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ReVTeX file, 15pp

Scientific paper

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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