Electric surface heating apparatus for interior and/or exterior use, in particular underfloor heating, having - a heat conductor device with -- at least one cold connection region with an electrically conducting, insulated connection line and -- a heat conducting region with at least one heating element with an electrically conducting, insulated heat conductor which outputs a largely fixed heating power when voltage is applied, - a switching device (50, 52) for switching on and switching off the voltage applied to the heat conductor, - a control device for operating the heat conductor device for achieving a desired set ambient temperature and - a connection device for the heat conductor device for connection to a voltage source, - the heating element has at least two or more heat conductors (14.1, 14.2, 14.3, 14.4) which run within the heating element, - wherein a management system is present which turns on and/or turns off individual heat conductors (14.1, 14.2, 14.3, 14.4) depending on the respective target allocations and voltage can be applied separately to each heat conductor (14.1, 14.2, 14.3, 14.4) within the heating element, with the result that voltage can be applied to the heat conductors (14.1, 14.2, 14.3, 14.4) individually or in a combinable manner in a prespecified number or together at the same time during a prespecified time interval, - characterized in that - the connection of the cold connection regions to the heat conducting regions of the heat conductor device is formed by means of connectors, in particular using shrink-fit technology or screw technology, for example dry connectors or potted connectors, or using connector-free technology, that is to say directly conductive connection by means of soldering, welding or adhesive bonding, - the heat conductors (14.1, 14.2), possibly the return conductor, are surrounded by an electrically insulating insulation sheath and the heat conductors (14.1, 14.2, 14.3, 14.4), the return conductor and a protective conductor which may be present are embedded altogether into an electrically insulating core insulation, - the switching device (50, 52) is formed such that it can be actuated by means of a remote control arrangement or data line, as a result of which the surface heating apparatus can be actuated directly by the power-generating company in order to take into account undercapacities or overcapacities due to individual heat conductors (14.1, 14.2, 14.3, 14.4) being turned on or turned off. - a heat conductor device with -- at least one cold connection region with an electrically conducting, insulated connection line and -- a heat conducting region with at least one heating element with an electrically conducting, insulated heat conductor which outputs a largely fixed heating power when voltage is applied, -- at least one cold connection region with an electrically conducting, insulated connection line and -- a heat conducting region with at least one heating element with an electrically conducting, insulated heat conductor which outputs a largely fixed heating power when voltage is applied, - a switching device (50, 52) for switching on and switching off the voltage applied to the heat conductor, - a control device for operating the heat conductor device for achieving a desired set ambient temperature and - a connection device for the heat conductor device for connection to a voltage source, - the heating element has at least two or more heat conductors (14.1, 14.2, 14.3, 14.4) which run within the heating element, - wherein a management system is present which turns on and/or turns off individual heat conductors (14.1, 14.2, 14.3, 14.4) depending on the respective target allocations and voltage can be applied separately to each heat conductor (14.1, 14.2, 14.3, 14.4) within the heating element, with the result that voltage can be applied to the heat conductors (14.1, 14.2, 14.3, 14.4) individually or in a combinable manner in a prespecified number or together at the same time during a prespecified time interval, - characterized in that - the connection of the cold connection regions to the heat conducting regions of the heat conductor device is formed by means of connectors, in particular using shrink-fit technology or screw technology, for example dry connectors or potted connectors, or using connector-free technology, that is to say directly conductive connection by means of soldering, welding or adhesive bonding, - the heat conductors (14.1, 14.2), possibly the return conductor, are surrounded by an electrically insulating insulation sheath and the heat conductors (14.1, 14.2, 14.3, 14.4), the return conductor and a protective conductor which may be present are embedded altogether into an electrically insulating core insulation, - the switching device (50, 52) is formed such that it can be actuated by means of a remote control arrangement or data line, as a result of which the surface heating apparatus can be actuated directly by the power-generating company in order to take into account undercapacities or overcapacities due to individual heat conductors (14.1, 14.2, 14.3, 14.4) being turned on or turned off.