I just started Physics III yesterday, and I talked to my professor about doing research for the class. He recommended that I write a paper on how Maxwell came up with the equation $\displaystyle dP=\frac{dU}{c}$, where P is momentum, U is energy (forget which one at the moment) and c is the speed of light. After this, he wants me to do the following:

$\displaystyle dP=\frac{dU}{c} \implies E=mc^2$

He wants me to derive Einstein's Famous equation from Maxwell's. Can anyone give suggestions on how to start, or even suggestions on books that I can take a look at?

Thanks in Advance!

--Chris