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Blundell Thermal Physics
· Problem 1.5
Introduction
Physics — Statistical Mechanics · stirlings-approximation
Problem
What fractional error do you make when using Stirling's approximation (in the form
ln
n
!
≈
n
ln
n
−
n
\ln n! \approx n \ln n - n
ln
n
!
≈
n
ln
n
−
n
) to evaluate ((a))
ln
10
!
\ln 10!
ln
10
!
, ((b))
ln
100
!
\ln 100!
ln
100
!
, and ((c))
ln
1000
!
\ln 1000!
ln
1000
!
?
Related theory
Approximation Algorithms And The Approximation Ratio
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