An exhaust gas cooler may include a plurality of stacked disc pairs. A first flow chamber for a coolant flow may be disposed between two discs of at least a first disc pair of the plurality of disc pairs. A second flow chamber for an exhaust gas flow may be disposed between two second disc pairs of the plurality of disc pairs arranged mutually adjacent with respect to one another. The plurality of stacked disc pairs may include at least one coolant inlet and at least one coolant outlet. The first disc pair may include a plurality of coolant inlets and a plurality of coolant outlets surrounding an edge of the first disc pair to facilitate peripheral edge cooling.