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Introduction to Adaptive Methods for Differential Equations
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
1995 (English)In: Acta Numerica, ISSN 0962-4929, E-ISSN 1474-0508, Vol. 4, 105-158 p.Article in journal (Refereed) Published
Abstract [en]

Knowing thus the Algorithm of this calculus, which I call Differential Calculus, all differential equations can be solved by a common method (Gottfried Wilhelm von Leibniz, 1646–1719).

When, several years ago, I saw for the first time an instrument which, when carried, automatically records the number of steps taken by a pedestrian, it occurred to me at once that the entire arithmetic could be subjected to a similar kind of machinery so that not only addition and subtraction, but also multiplication and division, could be accomplished by a suitably arranged machine easily, promptly and with sure results…. For it is unworthy of excellent men to lose hours like slaves in the labour of calculations, which could safely be left to anyone else if the machine was used…. And now that we may give final praise to the machine, we may say that it will be desirable to all who are engaged in computations which, as is well known, are the managers of financial affairs, the administrators of others estates, merchants, surveyors, navigators, astronomers, and those connected with any of the crafts that use mathematics (Leibniz).

Place, publisher, year, edition, pages
Cambridge University Press , 1995. Vol. 4, 105-158 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-16086DOI: 10.1017/S0962492900002531OAI: oai:DiVA.org:hj-16086DiVA: diva2:441694
Available from: 2011-09-19 Created: 2011-09-19 Last updated: 2012-02-07Bibliographically approved

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