Collective magnetism of itinerant valence electrons in thin films is i
nvestigated within the framework of the strongly correlated Hubbard mo
del. A standard moment method (SDA) that has recently been generalized
for systems with reduced translational symmetry is used for a self-co
nsistent calculation of the temperature-dependent magnetizations of la
yers parallel to the film surfaces. Results are presented for bcc film
s with (110) surface consisting of d = 1 up to d = 20 layers. The surf
ace-layer magnetization m(s) is found to be lower than the mean film m
agnetization m. m(s) and m slowly converge for thickness d --> infinit
y. We discuss the magnetization curves m(i)(T) and the thickness-depen
dent Curie temperature T-C(d). The Curie temperature of the d = 3 laye
r film is found to be already quite close to the bulk value.