Statistical Mechanics by Pathria. Problem 3.1
<(△nr)2>=<nr2>-<nr>2=(wrd/dwr)(wrd/dwr)lnΓ, for all wr=1
How to derive above equation from these equations?
<nr>=wrd/dwr(lnΓ), for all wr=1
<nr2>=(1/Γ)(wrd/dwr)(wrd/dwr)Γ, for all wr=1
Also, if you have the textbook,
How can I derive equations (3.2.39) and (3.2.40) from equations (3.2.37) and (3.2.38)
The Attempt at a Solution
It may look so easy for you guys, but I cannot even start solving these problems since I'm not good at calculus...