This article is dedicated to John von Neumann, one of the most outstanding scholars of the 20th century. His life was short but bright, and his contribution to almost all branches of mathematics, as well as to physics, economics, biology, and astronomy was enormous. He constructed some of the first computers and he was among the key persons in the American atomic project. Development of his ideas will continue to play a vital part in various areas of pure and applied mathematics.

PACS: 01.65.+g, 02.30.Tb, 03.65.−w (all) DOI: 10.1070/PU2004v047n12ABEH001896 URL: https://ufn.ru/en/articles/2004/12/g/ 000228406500007 2004PhyU...47.1271M Citation: Monastyrskii M I "John von Neumann" Phys. Usp. 47 1271–1280 (2004) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Оригинал: Монастырский М И «Джон фон Нейман» УФН 174 1371–1380 (2004); DOI: 10.3367/UFNr.0174.200412h.1371