The invention relates to an apparatus and a method for heating a workpiece of an inductively heatable material, for example a turbine blade. Such a turbine blade consists of a massive blade base and a low-mass blade leaf. To enable the blade base and blade leaf to be heated in a manner appropriate to each an induction coil is provided, which surrounds the blade base and the blade leaf. By suitable choice of the alternating currents which flow through the induction coil and/or through the interposition of a susceptor between turbine blade and induction coil, the blade base and blade leaf can be heated in an appropriate manner.