The Reasonable Effectiveness of Computational Mathematics

Johan Hoffman (), Claes Johnson () and Anders Logg ()
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Johan Hoffman: New York University, Courant Institute of Mathematical Sciences
Claes Johnson: Chalmers University of Technology, Department of Computational Mathematics
Anders Logg: Chalmers University of Technology, Department of Computational Mathematics

Chapter 11 in Dreams of Calculus, 2004, pp 59-65 from Springer

Abstract: Abstract 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 labor 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 mangers of financial affairs, the administrators of others estates, merchants, surveyors, navigators, astronomers, and those connected with any of the crafts that use mathematics. (Leibniz)

Keywords: Solar System; Stokes Equation; Genetic Code; Human Genome Project; Computational Solution (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-18586-1_11

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