Vladimir Arnold
Vladimir Arnold | |
|---|---|
Владимир Арнольд | |
Arnold in 2008 | |
| Born | 12 June 1937 Odessa, Ukrainian SSR, Soviet Union |
| Died | 3 June 2010 (aged 72) Paris, France |
| Citizenship |
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| Alma mater | Moscow State University |
| Known for | List ADE classification Arnold's cat map Arnold conjecture Arnold diffusion Arnold invariants Arnold's Problems Arnold's rouble problem Arnold's spectral sequence Arnold tongue ABC flow Arnold–Givental conjecture Euler–Arnold equation Gömböc Gudkov's conjecture Hilbert–Arnold problem Hilbert's thirteenth problem KAM theorem Kolmogorov–Arnold theorem Liouville–Arnold theorem Topological Galois theory Mathematical Methods of Classical Mechanics Nearby Lagrangian conjecture Ordinary Differential Equations |
| 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 |
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Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010)[1][2][3] 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 when he was 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 a populariser of mathematics. Through his lectures, seminars, and as the author of several textbooks (such as Mathematical Methods of Classical Mechanics and Ordinary Differential Equations) and popular mathematics books, he influenced many mathematicians and physicists.[4][5] Many of his books were translated into English. His views on education were opposed to those of Bourbaki.
A controversial and often quoted dictum of his is "Mathematics is the part of physics where experiments are cheap".[3][6][7]
Arnold received the inaugural Crafoord Prize in 1982, the Wolf Prize in 2001 and the Shaw Prize in 2008.
- ^ Khesin, Boris; Tabachnikov, Sergei (2018). "Vladimir Igorevich Arnold. 12 June 1937 – 3 June 2010". Biographical Memoirs of Fellows of the Royal Society. 64: 7–26. doi:10.1098/rsbm.2017.0016. ISSN 0080-4606.
- ^ Mort d'un grand mathématicien russe, AFP (Le Figaro)
- ^ a b Cite error: The named reference
obituarywas invoked but never defined (see the help page). - ^ O'Connor, John J.; Robertson, Edmund F., "Vladimir Arnold", MacTutor History of Mathematics Archive, University of St Andrews
- ^ Bartocci, Claudio; Betti, Renato; Guerraggio, Angelo; Lucchetti, Roberto; Williams, Kim (2010). Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles. Springer. p. 211. ISBN 9783642136061.
- ^ Euler M. (2004). "The role of experiments in the teaching and learning of physics" [JB]. Proceedings of the International School of Physics (Research on Physics Education), pp. 175–221. https://doi.org/10.3254/978-1-61499-012-3-175
- ^ Note: This phrase generated controversy and even parodies. He wrote his defense at (1999). "Mathematics and physics: mother and daughter or sisters?". Physics-Uspekhi. 42 (12): 1205–1217. Bibcode:1999PhyU...42.1205A. doi:10.1070/pu1999v042n12abeh000673. S2CID 250835608..