Vladimir Igorevich Arnold (Russian: Влади́мир И́горевич Арно́льд, born June 12, 1937 in Odessa, USSR) is one of the world's most prolific mathematicians. While he is best known for the Kolmogorov-Arnold-Moser theorem regarding the stability of integrable Hamiltonian systems, he has made important contributions in a number of areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory in a career spanning over 45 years after his first main result - the solution of Hilbert's thirteenth problem in 1957. is the 163rd day of the year (164th in leap years) in the Gregorian calendar. ... 1937 (MCMXXXVII) was a common year starting on Friday (link will take you to calendar). ... ODESSA (German: Organisation der ehemaligen SS-Angehörigen, Organization of Former SS Members) is the name commonly given to an international Nazi network alleged to have been set up towards the end of World War II by a group of SS officers. ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... The Kolmogorov-Arnold-Moser theorem is a theorem in non-linear dynamics that solves the small-divisor problem in classical perturbation theory. ... Look up stability in Wiktionary, the free dictionary. ... Integrability is a mathematical concept used in different areas. ... Hamiltonian mechanics is a re-formulation of classical mechanics that was invented in 1833 by William Rowan Hamilton. ... In physics, dynamics is the branch of classical mechanics that is concerned with the effects of forces on the motion of objects. ... In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry. ... A Möbius strip, an object with only one surface and one edge; such shapes are an object of study in topology. ... Algebraic geometry is a branch of mathematics which, as the name suggests, combines techniques of abstract algebra, especially commutative algebra, with the language and the problematics of geometry. ... Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies. ... For non-mathematical singularity theories, see singularity. ... 21. ...

Biography

While a student of Andrey Kolmogorov at Moscow State University and still a teenager, Arnold showed in 1957 that any continuous function of several variables can be constructed with a finite number of two-variable functions, thereby solving Hilbert's thirteenth problem. Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров) (April 25, 1903 - October 20, 1987) was a Soviet mathematician who made major advances in different academic fields (among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity). ... Moscow State University M.V. Lomonosov Moscow State University (Russian: Московский государственный университет имени М.В.Ломоносова, often abbreviated МГУ, MSU, MGU) is the largest and the oldest university in Russia, founded in 1755. ...

After graduating from Moscow State University in 1959, he worked there until 1986 (a professor since 1965), and has been working at Steklov Mathematical Institute since then. He became an academician of the USSR Academy of Sciences (Russian Academy of Science since 1991) in 1990^[1] Arnold can be said to have initiated the theory of symplectic topology as a distinct discipline. The Arnold conjecture on the number of fixed points of Hamiltonian symplectomorphisms and Lagrangian intersections were also a major motivation in the development of Floer homology. Steklov Institute of Mathematics or Steklov Mathematical Institute (Russian: Математический институт имени В.А.Стеклова) is a research institute... Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ... Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ... In mathematics, a symplectic manifold is a smooth manifold equipped with a closed, nondegenerate 2-form. ... In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. ... In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. ... In mathematics, Floer homology refers to a family of homology theories which share similar characteristics and are believed by experts to be closely related. ...

Arnold is well known for his lucid writing style, combining mathematical rigour with physical intuition, and an easy conversational style of teaching. His writings present a fresh, often geometric approach to traditional mathematical topics like ordinary differential equations, and his many textbooks have proved influential in the development of new areas of mathematics. Geometry (from the Greek words Ge = earth and metro = measure) is the branch of mathematics first introduced by Theaetetus dealing with spatial relationships. ... In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of its derivatives with respect to that variable. ...

Arnold is an outspoken critic of the trend of high levels of abstraction in mathematics during the middle of last century. He has very strong opinions on how this approach - which was most popularly implemented by the Bourbaki school in France - initially had negative impact on French, and then later other countries', mathematical education (see [1] and other essays in [2]). Nicolas Bourbaki is the pseudonym under which a group of mainly French 20th-century mathematicians wrote a series of books of exposition of modern advanced mathematics, beginning in 1935. ...

Arnold has been the recipient of many awards, such as the Lenin Prize (1965, with Andrey Kolmogorov), the Crafoord Prize (1982, with Louis Nirenberg), the Harvey prize (1994), Dannie Heineman Prize for Mathematical Physics (2001) and the Wolf Prize in Mathematics (2001). Lenin Prize (Russian: Ле́нинская пре́мия) was one of the highest awards in the Soviet Union. ... Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров) (April 25, 1903 - October 20, 1987) was a Soviet mathematician who made major advances in different academic fields (among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity). ... The Crafoord Prize was established in 1980 by Holger Crafoord, the inventor of the artificial kidney, and his wife Anna-Greta Crafoord. ... Louis Nirenberg (born 28 February 1925) is a Canadian-born mathematician, known for his work on partial differential equations. ... Dannie Heineman Prize for Mathematical Physics is an award given each year since 1959 jointly by American Physical Society and American Institute of Physics. ... Past winners of the Wolf Prize in Mathematics: 1978 Israel M. Gelfand, Carl L. Siegel 1979 Jean Leray, André Weil 1980 Henri Cartan, Andrei Kolmogorov 1981 Lars Ahlfors, Oscar Zariski 1982 Hassler Whitney, Mark Grigoryevich Krein 1983/4 Shiing S. Chern, Paul ErdÅ‘s 1984/5 Kunihiko Kodaira, Hans...

Arnold presently works at the Steklov Mathematical Institute in Moscow and at the University of Paris IX. As of 2006 he was reported to have the highest citation index among Russian scientists, [3] and h-index of 40[4]. Position of Moscow in Europe Coordinates: , Country District Subdivision Russia Central Federal District Federal City Government  - Mayor Yuriy Luzhkov Area  - City 1,081 km²  (417. ... The Sorbonne, Paris, in a 17th century engraving The historic University of Paris (French: ) first appeared in the second half of the 12th century, but was in 1970 reorganised as 13 autonomous universities (University of Paris I–XIII). ... 2006 is a common year starting on Sunday of the Gregorian calendar. ... A citation index is an index of citations between publications, allowing the user to easily establish which later documents cite which earlier documents. ... In economics, the Herfindahl index is a measure of the size of firms in relationship to the industry and an indicator of the amount of competition among them. ...

The minor planet 10031 Vladarnolda was named after him in 1981 by Lyudmila Georgievna Karachkina. Minor planets, or asteroids or planetoids, are minor celestial bodies of the Solar system orbiting the Sun (mostly Small solar system bodies) that are smaller than major planets, but larger than meteoroids (commonly defined as being 10 meters across or less[1]), and that are not comets. ... Lyudmila Georgievna Karachkina (Людмила Георгиевна Карачкина) is a Russian or Ukrainian astronomer. ...

Selected bibliography

• V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag (1989), ISBN 0-387-96890-3
• V. I. Arnold, Geometrical Methods In The Theory Of Ordinary Differential Equations, Springer-Verlag (1988), ISBN 0-387-96649-8
• V. I. Arnold, Ordinary Differential Equations, The MIT Press (1978), ISBN 0-262-51018-9
• V. I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics, Addison-Wesley (1989), ISBN 0-201-09406-1
• V. I. Arnold, Teoriya Katastrof (Catastrophe Theory, in Russian), 4th ed. Moscow, Editorial-URSS (2004), ISBN 5-354-00674-0
• V. I. Arnold, Yesterday and Long Ago, Springer (2007), ISBN 978-3-540-28734-6.

Editorial URSS is a Russian scientific literature publishing house (textbooks, monographs, journals, proceedings of Russian institutes and universities, etc. ...

See also

• Arnold's cat map
• Arnold conjecture
• Kolmogorov–Arnold–Moser theorem

From order to the chaos and return. ... In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. ... The Kolmogorov–Arnold–Moser theorem is a result in dynamical systems about the persistence of quasi-periodic motions under small perturbations. ...

References

1. ^ Great Russian Encyclopedia (2005), Moscow: Bol'shaya Rossiyskaya Enciklopediya Publisher, vol. 2

The Great Russian Encyclopedia (Russian: ; tr. ... Position of Moscow in Europe Coordinates: , Country District Subdivision Russia Central Federal District Federal City Government  - Mayor Yuriy Luzhkov Area  - City 1,081 km²  (417. ...

External links

• V.I. Arnold's web page
• Personal web page
• V.I.Arnold lecturing on Continued Fractions
• A short curriculum vitae
• On Teaching Mathematics, text of a talk espousing Arnold's opinions on mathematical instruction
• Vladimir Arnold at the Mathematics Genealogy Project