A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in
some way. In this work, the term "constant" is generally reserved for real nonintegral numbers of interest, while "number" is used to refer to interesting integers
(e.g., Brun's constant, but beast
number). However, in contexts such as linear
combination, the term "constant" is generally used to mean "scalar" or "real number,"
and need not exclude integer values.
Certain constants are known to many decimal digits and recur throughout many diverse areas of mathematics, often in unexpected and surprising
places (e.g., pi, e, and to some
extent, the Euler-Mascheroni constant). Other constants are more specialized and may
be known to only a few digits. S. Plouffe maintains
a site about the computation and identification of numerical constants. Plouffe's
site also contains a page giving the largest number of digits
computed for the most common constants. S. Finch maintains a delightful, more
expository site containing detailed essays and references on constants both common
and obscure.
The mathematician Glaisher remarked, "No doubt the desire to obtain the values of these quantities to a great many figures is also partly due to the fact that most
of them are interesting in themselves; for ,,,, and many other numerical quantities
occupy a curious, and some of them almost a mysterious, place in mathematics, so
that there is a natural tendency to do all that can be done towards their precise
determination" (Glaisher 1915, p. 79).
The following table lists some common constants, their symbols, and approximate values.