Vladimir Arnold

Vladimir Arnold
Владимир Арнольд
Arnold in 2008
Born(1937-06-12)12 June 1937
Odesa, Ukrainian SSR, Soviet Union
Died3 June 2010(2010-06-03) (aged 72)
Paris, France
Nationality
  • Soviet
  • Russian
Alma materMoscow State University
Known forADE classification
Arnold's cat map
Arnold conjecture
Arnold diffusion
Arnold invariants (pt)
Arnold's Problems
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
AwardsShaw 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
FieldsMathematics
InstitutionsParis Dauphine University
Steklov Institute of Mathematics
Independent University of Moscow
Moscow State University
Doctoral advisorAndrey 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.

  1. ^ a b 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.
  2. ^ Cite error: The named reference mathgene was invoked but never defined (see the help page).
  3. ^ Mort d'un grand mathématicien russe, AFP (Le Figaro)
  4. ^ Cite error: The named reference obituary was invoked but never defined (see the help page).
  5. ^ O'Connor, John J.; Robertson, Edmund F., "Vladimir Arnold", MacTutor History of Mathematics Archive, University of St Andrews
  6. ^ 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.

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