My Mother made her banana pudding (ok, it's really vanilla pudding poured over sliced bananas) in the top of a double boiler on the stove. It was always topped with meringue and baked, then served warm. This is more of a modern version, made quickly in the microwave for convenience. Although this is served cold and topped with whipped topping, you can still reserve the egg whites, beat them with sugar, spread over the top of the pudding and bake until brown to serve it for Southern style warm banana pudding. Cooking time does not include cooling.