We all know that Leibniz introduced the differential notation $dx, dy$, and that in developing his calculus for infinitesimal differences he was inspired by his previous work on finite diffences. Today we usually denote such finite differences $\Delta x, \Delta y$. But did Leibniz use this notation? If not, who originated it?
2026-03-26 02:52:57.1774493577
Who introduced the finite difference notation using $\Delta$?
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According to Florian Cajori, A history of mathematical notations (1928 - Dover reprint) :
L.Euler introduced the symbolism for finite differences in Institutiones calculi differentialis (Petersburgh, 1755), p.3-7 (see Cajori, page 265).