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Sulla nozione di errore in matematica e nelle sue applicazioni alla fisica
Journal Title: DiPAV - QUADERNI 
Author/s: Antonio Moretto 
Year:  2007 Issue: 19 Language: Italian 
Pages:  30 Pg. 83-112 FullText PDF:  265 KB

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, in "DiPAV - QUADERNI" 19/2007, pp. 83-112, DOI:

   

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