George Arthur Mathews (June 4, 1852 - April 19, 1941) was a Delegate to the United States House of Representatives from Dakota Territory. He was born in Potsdam, St. Lawrence County, New York, and studied law at Upper Iowa University, Fayette, Iowa and the University of Iowa at Iowa City. He was admitted to the bar in 1878 and commenced practice in Corning, Iowa.

Mathews moved to Brookings, Dakota Territory (now South Dakota) in 1879. He became prosecuting attorney of the fifth judicial circuit for the Territory of Dakota and a member of the Territorial council (serving as its president). He was elected as a Republican to the House, serving from March 4, 1889 to November 2, 1889, when the Territory was admitted into the Union.

He was mayor of the city of Brookings from 1897 -1903. In 1910 he moved to Los Angeles, California, where he died. He was cremated and his ashes deposited in Greenwood Cemetery, Brookings.