Heating apparatus and methods for thermally processing a part including improved control of temperature. A thermal management system is coupled to a back surface of a table thermally coupled to an inductive heating circuit. The thermal management system includes a chamber defining an interior space, at least one cooling fin disposed within the chamber, an inlet extending through the chamber and fluidly communicating with the interior space, and an outlet extending through the chamber and fluidly communicating with the interior space. In some applications, an air source fluidly communicates with the inlet and is selectively operable to generate an air flow through the chamber, so that the thermal management system may be selectively operated in an insulator mode and a cooling mode.