The heater incorporates at least one approximately undulating or grid-type pipe (2) or a plate-type hollow body with an inflow component and an outflow component or devices for filling and emptying. At least one basic block (5) has recesses (6) matched to the run of the pipe or to the shape of the hollow body. At least one ceramic cover (7) is provided for fixture to the basic component with accommodated pipe component or hollow body. At least one heat transmission component (8) is in heat contact with the pipe component or the hollow body and is arranged between the basic component and the cover component.