Sulla nozione di errore in matematica e nelle sue applicazioni alla fisica

Journal title DiPAV - QUADERNI
Author/s Antonio Moretto
Publishing Year 2007 Issue 2007/19 Language Italian
Pages 30 P. 83-112 File size 265 KB
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This paper focuses on some aspects of error and approximation notions in pure and applied mathematics. After examining the error made by a human computer, the paper analyses the approximation theory in real analysis. The relations between real numbers and classes of rational numbers defining them (Dedekind-cuts), the theory of series (numerical and of functions), and their utilization in approximated evaluations testify to the importance of the error-theory in mathematical analysis. In physics these notions are applied to the measure of a quantity and to the determination of the function representing the law of a phenomenon.

Antonio Moretto, Sulla nozione di errore in matematica e nelle sue applicazioni alla fisica in "DiPAV - QUADERNI" 19/2007, pp 83-112, DOI: