USE OF INDETERMINATE FACTORS IN THE STUDY OF MAXIMA AND MINIMA

Dennis M. Cates ()

Chapter Chapter 11 in Cauchy's Calcul Infinitésimal, 2019, pp 53-57 from Springer

Abstract: Abstract To deduce the maxima and the minima of the function u from the method that we have indicated, we should begin by eliminating from this function m different variables with the help of the formulas in (2). After this elimination, the variables which remain, to number $$n-m, \, $$ should be considered as independent; and, the systems of values of these variables should be sought which render the function u or the function du discontinuous, as well as those which satisfy, whatever the differentials of these same variables, the equation.

Date: 2019
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DOI: 10.1007/978-3-030-11036-9_11

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