In 1734, Euler introduced the constant popularly known as Euler's constant
or Euler-Mascheroni constant as the limiting di erence between harmonic
series and natural logarithm:
:= lim
x!1
X
n x
1
n
log x
...
Several constants play a dominant role in mathematics due to their appearance in a large number
of fundamental identities. Perhaps, some of the most famous examples are the constant which is
defined as the ratio of a ...