a constant used in numerical analysis, approximately equal to 0.577216. It represents the limit of the series 1 + 1/ 2 + 1/ 3 + 1/ 4 ... 1/ n − ln n as n tends to infinity. It is not known whether this is a rational number or not.
Origin:
mid 19th century: named after L. Euler (see Euler, Leonhard)
Euler's constant in other Oxford dictionaries
Definition of Euler's constant in the US English dictionary