El método de máximos y mínimos de Fermat
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Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
Corporación Universitaria Lasallista
Abstract
Introduction: In the XVII Century, Fermat d/eveloped
the first general method to determine the minimums
and maximums, in the memory Methodus ad
disquirendam maximan et miniman et de
tangentibus linearum curvarum, being a purely
algorithmic procedure with no demonstrative
foundation at all, and in which Fermat introduces
the adequality technique, previously used by
Diofantus in the Alexandria School. The vague and
laconic way in which Fermat showed the Methodus
has generated some interpretations under
infinitesimal calculus terms, and one of them says
that in the Methodus sub lies the calculation of a
derivation that equals zero. Objective: To make a
detailed study of the way Fermat explains his
maximums and minimums method in the Methodus
and discusses the anachronism interpretations
given by some experts about his method. Methods:
Based on the texts mentioned in the bibliography
we make a historical scrutiny with the main objective
of studying and analyzing the method showed by
Fermat. Results: The detailed study is made, the
method is applied to obtain a minimum in the
problem of the segment division and the
interpretations given by some experts are analyzed
under the current standards. These interpretations
must be seen carefully, because they force the
method showed by Fermat.
Description
Keywords
Cálculo Infinetisimal, Adigualdad, Pierre de Fermat, Corporación Universitaria Lasallista, Método de máximos y mínimos