Samuel Carthorne Rivers (September 25, 1923 – December 26, 2011) was an American jazz musician and composer. He performed on soprano and tenor saxophones, bass clarinet, flute, harmonica and piano.

Active in jazz since the early 1950s, he earned wider attention during the mid-1960s spread of free jazz. With a thorough command of music theory, orchestration and composition, Rivers was an influential and prominent artist in jazz music.

Rivers was born in El Reno, Oklahoma. His father was a gospel musician who had sung with the Fisk Jubilee Singers and the Silverstone Quartet, exposing Rivers to music from an early age. His grandfather was Marshall W. Taylor, a religious leader from Kentucky. Rivers was stationed in California in the 1940s during a stint in the Navy. Here he performed semi-regularly with blues singer Jimmy Witherspoon. Rivers moved to Boston, Massachusetts in 1947, where he studied at the Boston Conservatory with Alan Hovhaness. He performed with Quincy Jones, Herb Pomeroy, Tadd Dameron and others. In 1959 Rivers began performing with 13-year-old drummer Tony Williams. Rivers was briefly a member of the Miles Davis Quintet in 1964, partly on Williams’s recommendation. This edition of the quintet released a single live album, Miles in Tokyo, from a show recorded on July 14 at Kohseinenkin Hall. Rivers’ tenure with the quintet was brief: he had engagements in Boston, and his playing style was too avant-garde for Davis during this period; he was replaced by Wayne Shorter shortly thereafter.