Johnson, Warren P. The curious history of Faà di Bruno’s formula. (English) Zbl 1024.01010 Am. Math. Mon. 109, No. 3, 217-234 (2002). Faà di Bruno published his formula concerning the \(m\)-th derivative of a composite function \(g(f(t))\) in December 1855. In the present paper it is pointed out that several other mathematicians found different expressions of the \(m\)-th derivative of \(g(f(t))\) in the 19th century. These are all independent of Faà di Bruno’s work and a few of them predate it. Faà di Bruno was neither the first to state the formula that bears his name, nor the first to prove it. Reviewer: W.H.Schmidt (Greifswald) Cited in 3 ReviewsCited in 225 Documents MSC: 01A55 History of mathematics in the 19th century 26-03 History of real functions 26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems 05A18 Partitions of sets Keywords:composite function; Riordan’s formula; Taylor’s theorem; U. H. Meyer; Schlömilch; Hoppe; Scott; Tiburce Abadie; \(m\)-th derivative; bibliography; determinant formula PDFBibTeX XMLCite \textit{W. P. Johnson}, Am. Math. Mon. 109, No. 3, 217--234 (2002; Zbl 1024.01010) Full Text: DOI