Day 178 · Jun 26

De Prony and Human Computing

In 1791, Gaspard de Prony organised the computation of logarithm and trigonometric tables to 14–25 decimal places — a project employing 80 people as 'computers.' Following Adam Smith's principles of division of labour, de Prony split the work: top mathematicians designed the formulas, middle-tier workers set up the differences, and low-skill workers (including former hairdressers, unemployed after the fashion for wigs ended with the Revolution) did the arithmetic. This inspired Babbage to design the Difference Engine — to replace human computers with machine precision.

De Prony used the method of finite differences to allow unskilled workers to compute function values using only addition. How does computing the differences of differences eventually reduce to constant values for polynomials?

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