ALGÄU, or Allgäu, the name now given to a comparatively small district forming the south-western corner of Bavaria, and belonging to the province of Swabia and Neuburg, but formerly applied to a much larger territory, which extended as far as the Danube on the N., the Inn on the S. and the Lech on the W. The Algäu Alps contain several lofty peaks, the highest of which is Mädelegabel (8681 ft.). The district is celebrated for its cattle, milk, butter and cheese.