We perform a momentum-space calculation of the reaction pp --> pp pi(0
) near threshold. Direct production and pion rescattering are taken in
to account. For the latter a T-matrix obtained from a microscopic mode
l of the pi N interaction is employed. The effects of some approximati
ons commonly used in studies of pp --> pp pi(0) are discussed. We find
that those approximations overestimate the cross section and also mod
ify its energy dependence. We obtain a significant contribution from r
escattering, but not nearly enough to describe the data.