re model derivations and effect of ro.

I was going through the Boyelstad book and i have some problems. Like for the CE Emitter bais circuit how the formula of Zb, Zi, Zo, Av, Ai are derived (by considering the effect of ro) Plz i need a detailed derivation. Plz help me out or say me the links from where i can get the derivation. I am attaching the figure and the formulas(whose derivations are needed) so that it may help u. but Plz i need how these formulas are derived.