ALGAU or ALLGAU, a small district in south-west Ba varia, belonging to the province of Suabia and Neuburg. The name formerly applied to a much larger territory, extending to the Danube on the north, the Inn on the south and the Lech on the west. The Algau Alps contain several lofty peaks, e.g., Madele gabel (8,681 ft.). The district is celebrated for cattle, milk, butter and cheese.