Vladimir Arnold | |
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Владимир Арнольд | |
Born | Odesa, Ukrainian SSR, Soviet Union | 12 June 1937
Died | 3 June 2010 Paris, France | (aged 72)
Nationality |
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Alma mater | Moscow State University |
Known for | ADE classification Arnold's cat map Arnold conjecture Arnold diffusion Arnold's rouble problem Arnold's spectral sequence Arnold tongue ABC flow Arnold–Givental conjecture Gömböc Gudkov's conjecture Hilbert–Arnold problem (ru) Hilbert's thirteenth problem KAM theorem Kolmogorov–Arnold theorem Liouville–Arnold theorem Topological Galois theory Mathematical Methods of Classical Mechanics |
Awards | Shaw Prize (2008) State Prize of the Russian Federation (2007) Wolf Prize (2001) Dannie Heineman Prize for Mathematical Physics (2001) Harvey Prize (1994) RAS Lobachevsky Prize (1992) Crafoord Prize (1982) Lenin Prize (1965) |
Scientific career | |
Fields | Mathematics |
Institutions | Paris Dauphine University Steklov Institute of Mathematics Independent University of Moscow Moscow State University |
Doctoral advisor | Andrey Kolmogorov |
Doctoral students |
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010)[1][3][4] 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.
His first main result was the solution of Hilbert's thirteenth problem in 1957 at the age of 19. He co-founded three new branches of mathematics: topological Galois theory (with his student Askold Khovanskii), symplectic topology and KAM theory.
Arnold was also known as a popularizer of mathematics. Through his lectures, seminars, and as the author of several textbooks (such as Mathematical Methods of Classical Mechanics) and popular mathematics books, he influenced many mathematicians and physicists.[5][6] Many of his books were translated into English. His views on education were particularly opposed to those of Bourbaki.
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