We describe a new representation to treat flux-lattice melting in an e
xtreme type-II layered superconductor, generalizing an approach of Hu
and MacDonald. The Ginzburg-Landau free-energy functional is expanded
in eigenstates which are products of the lowest Landau levels in the x
y plane, and tight-binding Bloch states in the z direction. The variou
s correlation functions can be evaluated efficiently by Monte Carlo si
mulations. The melting temperature for a model of Bi2Sr2CaCu2O8+delta,
as estimated from the apparently simultaneous disappearance of Bragg
peaks in the density-density correlation function, and of long-range i
nterlayer correlations, is estimated to be about 30 K at a field of 1
T, in reasonable agreement with the experimental value of 26 K.