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.
- ‘He investigated the series and calculated Euler's constant to 15 decimal places.’
- ‘In Adnotationes ad calculum integrale Euleri Mascheroni calculated Euler's constant to 32 decimal places.’
- ‘For example he computed Euler's constant to 1271 decimal places and published the result in 1962.’
- ‘It's been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base.’
- ‘This is Euler's constant, named after the famous Swiss mathematician Leonard Euler.’
Mid 19th century named after L. Euler (see Euler, Leonhard).