Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian:
Влади́мир И́горевич Арно́льд, 12 June 1937
– 3 June 2010)[3][4][1] was a Soviet and Russian mathematician.
While he is best known for the Kolmogorov–Arnold–Moser theorem
regarding the stability of integrable systems, he made important
contributions in several areas including dynamical systems theory,
catastrophe theory, topology, algebraic geometry, symplectic geometry,
differential equations, classical mechanics, hydrodynamics and
singularity theory, including posing the
Contents 1 Biography 1.1 Death 2 Popular mathematical writings 3 Work 3.1 Dynamical systems 3.2 Singularity theory 3.3 Fluid dynamics 3.4 Real algebraic geometry 3.5 Symplectic geometry 3.6 Topology 3.7 Other 4 Honours and awards 4.1
5 Selected bibliography 5.1 Collected works 6 See also 7 References 8 Further reading 9 External links Biography[edit]
Vladimir Igorevich Arnold was born on 12 June 1937 in Odessa, Soviet
Union. His father was Igor Vladimirovich Arnold (1900–1948), a
mathematician. His mother was Nina Alexandrovna Arnold (1909–1986,
née Isakovich), an art historian.[4] When Arnold was thirteen, an
uncle who was an engineer told him about calculus and how it could be
used to understand some physical phenomena, this contributed to spark
his interest for mathematics, and he started to study by himself the
mathematical books his father had left to him, which included some
works of
“There is a general principle that a stupid man can ask such questions to which one hundred wise men would not be able to answer. In accordance with this principle I shall formulate some problems.”[13] Death[edit]
Arnold died of acute pancreatitis[14] on 3 June 2010 in Paris, nine
days before his 73rd birthday.[15] His students include Alexander
Givental, Victor Goryunov, Sabir Gusein-Zade, Emil Horozov, Boris
Khesin, Askold Khovanskii, Nikolay Nekhoroshev, Boris Shapiro,
Alexander Varchenko,
“The death of Vladimir Arnold, one of the greatest mathematicians of
our time, is an irretrievable loss for world science. It is difficult
to overestimate the contribution made by academician Arnold to modern
mathematics and the prestige of Russian science.
Teaching had a special place in Vladimir Arnold's life and he had
great influence as an enlightened mentor who taught several
generations of talented scientists.
The memory of
Popular mathematical writings[edit]
Arnold is well known for his lucid writing style, combining
mathematical rigour with physical intuition, and an easy
conversational style of teaching and education. 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. The
standard criticism about Arnold's pedagogy is that his books "are
beautiful treatments of their subjects that are appreciated by
experts, but too many details are omitted for students to learn the
mathematics required to prove the statements that he so effortlessly
justifies." His defense is that his books are meant to teach the
subject to "those who truly wish to understand it" (Chicone,
2007).[18]
Arnold was an outspoken critic of the trend towards high levels of
abstraction in mathematics during the middle of the last century. He
had very strong opinions on how this approach—which was most
popularly implemented by the Bourbaki school in France—initially had
a negative impact on French mathematical education, and then later on
that of other countries as well.[19][20] Arnold was very interested in
the history of mathematics.[21] In an interview,[20] he said he had
learned much of what he knew about mathematics through the study of
Felix Klein's book Development of
This section needs expansion. You can help by adding to it. (February 2015) See also: Hilbert's thirteenth problem, Arnold conjecture, and
Stability of the Solar System
Arnold worked on dynamical systems theory, catastrophe theory,
topology, algebraic geometry, symplectic geometry, differential
equations, classical mechanics, hydrodynamics and singularity
theory.[5]
Dynamical systems[edit]
See also:
Other[edit] Arnold conjectured the existence of the gömböc.[42] Honours and awards[edit]
The minor planet
1966: "Sur la géométrie différentielle des groupes de Lie de
dimension infine et ses applications a l'hydrodynamique des fluides
parfaits"
Collected works[edit] 2009: A. B. Givental; B. A. Khesin; J. E. Marsden; A. N. Varchenko; V.
A. Vassilev; O. Ya. Viro; V. M. Zakalyukin (editors). Collected Works,
Volume I: Representations of Functions, Celestial Mechanics, and KAM
Theory (1957–1965). Springer
2013: A. B. Givental; B. A. Khesin; A. N. Varchenko; V. A. Vassilev;
O. Ya. Viro; (editors). Collected Works, Volume II: Hydrodynamics,
Bifurcation Theory, and Algebraic
See also[edit]
List of things named after Vladimir Arnold
Gömböc
Independent University of Moscow
References[edit] ^ a b c Khesin, Boris; Tabachnikov, Sergei (2017). "Vladimir Igorevich
Arnold. 12 June 1937 — 3 June 2010". Biographical Memoirs of Fellows
of the Royal Society. doi:10.1098/rsbm.2017.0016.
ISSN 0080-4606.
^ a b
Further reading[edit] Khesin, Boris; Tabachnikov, Serge (Coordinating Editors). "Tribute to Vladimir Arnold", Notices of the American Mathematical Society, March 2012, Volume 59, Number 3, pp. 378–399. Khesin, Boris; Tabachnikov, Serge (Coordinating Editors). "Memories of Vladimir Arnold", Notices of the American Mathematical Society, April 2012, Volume 59, Number 4, pp. 482–502. Boris A. Khesin; Serge L. Tabachnikov (2014). Arnold: Swimming Against the Tide. American Mathematical Society. ISBN 978-1-4704-1699-7. Leonid Polterovich; Inna Scherbak (7 September 2011). "V.I. Arnold (1937–2010)". Jahresbericht der Deutschen Mathematiker-Vereinigung. 113 (4): 185–219. doi:10.1365/s13291-011-0027-6. "Features: "Knotted Vortex Lines and Vortex Tubes in Stationary Fluid Flows"; "On Delusive Nodal Sets of Free Oscillations"" (PDF). EMS Newsletter (96): 26–48. June 2015. ISSN 1027-488X. External links[edit] Wikimedia Commons has media related to Vladimir Arnold. Wikiquote has quotations related to: Vladimir Arnold 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
Problems from 5 to 15, a text by Arnold for school students, available
at the IMAGINARY platform
v t e Laureates of the
1970s
1980s
1990s
2000s
2010s
Agriculture Arts Chemistry Mathematics Medicine Physics v t e
Astronomy
Life science and medicine Stanley Norman Cohen, Herbert Boyer, Kan Yuet-wai and Richard Doll
(2004)
Mathematical science
Authority control WorldCat Identities VIAF: 49221000 LCCN: n81037438 ISNI: 0000 0001 0898 3070 GND: 119540878 SELIBR: 307292 SUDOC: 026691434 BNF: cb11889174b (data) BIBSYS: 90091657 MGP: 17493 NDL: 00431737 CiNii: DA00346 |