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## Homework Statement

Statistical Mechanics by Pathria. Problem 3.1

## Homework Equations

(1)

<(△n

_{r})

^{2}>=<n

_{r}

^{2}>-<n

_{r}>

^{2}=(w

_{r}d/dw

_{r})(w

_{r}d/dw

_{r})lnΓ, for all w

_{r}=1

How to derive above equation from these equations?

<n

_{r}>=w

_{r}d/dw

_{r}(lnΓ), for all w

_{r}=1

<n

_{r}

^{2}>=(1/Γ)(w

_{r}d/dw

_{r})(w

_{r}d/dw

_{r})Γ, for all w

_{r}=1

(2)

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...