Russian mathematician who studied integrable systems and differential equations (1937–2010)
Vladimir Arnold was a Russian mathematician who made major contributions to the study of integrable systems and differential equations during the 20th century. His work fundamentally shaped how scientists understand complex mathematical systems that can be solved exactly, influencing research across mathematics and physics.
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· 1995 · cited 30,236x
· 1995 · cited 17,880x
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem. In his later years he shifted his research interests, investigating discrete mathematics.
His first main result was the solution of Hilbert's thirteenth problem in 1957 when he was 19. He co-founded three new branches of mathematics: topological Galois theory (with his student Askold Khovanskii), KAM theory (with Andrey Kolmogorov and Jürgen Moser) and symplectic topology.
· 2015 · cited 17,392x
· 2009 · cited 13,909x
· 1995 · cited 11,361x
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