The potential flow transformation first introduced by Boussinesq is used to transform the generalized Oseen boundary value problem for the heat or mass transfer on a semi−infinite or finite arbitrary symmetric body to an equivalent classical Oseen heat and mass transfer problem for the flow past a semi−infinite or finite flat plate. New and available solutions to this simplified boundary value problem are then used to obtain new heat and mass transfer results for more general boundary shapes. The general formulation is given and new analytic solutions presented for semi−infinite bodies which include the upstream influence of acute angle wedges and blunt half−bodies at uniform surface temperature. Finally a treatment is given of semi−infinite bodies with more varied thermal boundary conditions.