An Introduction to Thermal Physics · Problem B.10

Systems of Interacting Particles — Daniel Schroeder

Physics — Statistical Mechanics · stirlings-approximation

Problem

Choose the limits on the integral in equation B.18 more carefully, to derive a more accurate approximation to

n!

. (Hint: It's the upper limit that is more critical. There's no obvious best choice for the lower limit, but do the best you can.)