Fa\`a di Bruno's note on eponymous formula, trilingual version
Julyan Arbel (Inria Grenoble Rh\^one-Alpes)
TL;DR
This paper presents the original historical notes by Faà di Bruno on his eponymous formula, providing translations and context for a significant mathematical contribution from the 19th century.
Contribution
It reproduces and translates Faà di Bruno's original notes, offering historical insight into the development of the derivative composition formula.
Findings
Original notes by Faà di Bruno are preserved and translated.
Historical context enhances understanding of the formula's development.
Provides accessible versions in Italian, French, and English.
Abstract
About 160 years ago, the Italian mathematician Fa\`a di Bruno published two notes dealing about the now eponymous formula giving the derivative of any order of a composition of two functions. We reproduce here the two original notes, Fa\`a di Bruno (1855, 1857), written respectively in Italian and in French, and propose a translation in English.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Mathematical and Theoretical Analysis