Postbellum
After the war, he subsequently became paymaster of the District of Omaha and paymaster of the Department of the Platte. He became Paymaster General of the Army in 1872 and served in that capacity until his retirement from active service in 1880. He was promoted to brigadier general in 1876.
Alvord wrote several books and essays on mathematics, and became nationally known as an expert in the field. His most famous mathematical writings were on the tangencies and intersections of circles and spheres. He also wrote on natural history, writing the first scientific description of the ability of the compass plant (Silphium laciniatum) to orient itself in a north-south direction, as well as writing about winter grazing in the Rocky Mountains.
He died in Washington, D.C. and is buried at Evergreen Cemetery in Rutland, Vermont.
Alvord Valley and the Alvord Desert in Oregon were named in his honor.
Read more about this topic: Benjamin Alvord (mathematician)