Stirling's approximation to n! and other estimates are developed using elementary arguments. The aim is to shed light on why these approximations work so well. An elementary and useful representation of all the corrections to Stirling's approximation is given, with which even many experts are unacquainted.
%0 Journal Article %A Mermin, N. David %D May 18, 1983 %T Stirling's formula! %J Am. J. Phys. %V 52 %N 4 %P 362-365 %8 May 18, 1983 %U http://dx.doi.org/10.1119/1.13670
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