George Arthur Mathews (June 4, 1852 – April 19, 1941) was an American lawyer of Brookings, South Dakota.

[1] He served from March 4, 1889 until November 2, 1889, when North and South Dakota were admitted into the Union.

[1] Because terms started in March, but congressional sessions began in November or December, Mathews did not travel to Washington, D.C.[9] According to Francis Case, who eulogized Mathews in the U.S. House, because a change in presidential administrations occurred while Mathews was Dakota's delegate, he was flooded with applications for the territory's numerous federal patronage positions, including U.S.

[9] In 1890, Mathews' political supporters proposed him as a candidate for one of the new state's U.S. Senate seats, but he declined to run.

[1] He died in Los Angeles on April 19, 1941 and was buried at Greenwood Cemetery in Brookings.