The behavior of a finite number of bosons trapped in a bounded harmonic pot
ential is investigated. The eigenvalue spectrum is worked out numerically f
or three different sizes of the trap. The condensate fraction is determined
and is found to increase suddenly below a certain temperature which is a c
haracteristic signature of BEG. The specific; shifting to lower values heat
-temperature curve also shows a peak, with the maximum and occurring at hig
her temperatures, as the size of the assembly is reduced.