The mAh value simply indicates the maximum amperage the battery can (theoretically) continuously supply for one hour. This value is oftena measurement of a battery's capacity calculated from the average number of amps discharged multiplied by discharging the battery for periodsnumber of time other thanhours it took to fully discharge. It represents the amount of current the battery could theoretically discharge in one hour. For example, a battery that can discharge 500 mA for four hours has a capacity of 2000 mAh.
The battery will only supply as much amperage as the device requires, so a higher mAh rating is not a problem (and indicates longer battery life). What matters here is that the voltage of the battery matches that of the computer.