English

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

Classical Analysis and ODEs 2007-05-23 v1 Mathematical Physics Category Theory math.MP

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.

Keywords

Cite

@article{arxiv.math/9906079,
  title  = {On an ambiguity in the concept of partial and total derivatives in classical analysis},
  author = {Andrew E. Chubykalo and Rolando A. Flores and Juan A. Pérez},
  journal= {arXiv preprint arXiv:math/9906079},
  year   = {2007}
}

Comments

ReVTeX file, 15pp