Uspekhi Matematicheskikh Nauk was founded in 1936, with Lazar Lyusternik as its editor-in-chief.

Initially, it appeared irregularly, with issues devoted to specific topics within mathematics together with non-research articles about the work of different mathematical institutes in Russia and abroad.

After a hiatus for World War II, the journal began publishing on a regular schedule in 1946.

[2] Archives of the Russian originals are available online through the All-Russian Mathematical Portal.

[3] Uspekhi Matematicheskikh Nauk successfully overcame the economic difficulties of the 90s and today it is an active publication - one of the leading mathematical journals in the world.