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Differentials*
Published online by Cambridge University Press: 03 November 2016
Extract
In the teaching of the Theory of Differentials the really difficult and important problem is not “how shall we teach a given theory?” but “which theory shall we teach?” There are, in fact, a number of rival theories, none of which has met with any general measure of acceptance. In these circumstances, the critical problem of considering the rival merits of these theories is much more urgent than the pedagogical problem of presenting them to students.
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- Research Article
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- Copyright © The Mathematical Association 1934
Footnotes
*
A discussion at the Annual Meeting, 5th January, 1934.
References
page 68 note * A discussion at the Annual Meeting, 5th January, 1934.
page 68 note † The second condition is more general than the first, for it applies even when η has no reciprocal, as in Case I below.
page 68 note ‡ “There are zeros and zeros !” (O.Heaviside).
page 71 note * Vol. XV., p. 401.
page 71 note † Vol. XVI., p. 7.
page 72 note * J. H. Newman, Apologia pro vita sua (1908), p. 311.
page 72 note † de la Vallée Poussin, Cours d'Analyse Infinitésimal, I, (1923), p. 51, or E. G. Phillips, Math. Gazette, XV, (1931), p. 402.
page 74 note * Durell and Robson, Elementary Calculus, I. (1933), p. 30.