Blundell Thermal Physics · Problem 1.6

Introduction

Physics — Statistical Mechanics · stirlings-approximation

Problem

Show that eqn C.19 is equivalent to writing

n! \approx n^n e^{-n} \sqrt{2\pi n},\tag{1.21}

and

n! \approx \sqrt{2\pi}\, n^{n+\frac{1}{2}} e^{-n}.\tag{1.22}