  We present a theoretical study of condensation of bosons in tight binding
bands corresponding to simple cubic, body centered cubic, and face centered
cubic lattices. We have analyzed non-interacting bosons, weakly interacting
bosons using Bogoliubov method, and strongly interacting bosons through a
renormalized Hamiltonian approach valid for number of bosons per site less than
or equal to unity. In all the cases studied, we find that bosons in a body
centered cubic lattice has the highest Bose condensation temperature. The
growth of condensate fraction of non-interacting bosons is found to be very
close to that of free bosons. The interaction partially depletes the condensate
at zero temperature and close to it, while enhancing it beyond this range below
the Bose-Einstein condensation temperature. Strong interaction enhances the
boson effective mass as the band-filling is increased and eventually localizes
them to form a Bose-Mott-Hubbard insulator for integer filling.
