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Vladimir Arnold
Sign in to saveAlso known as Vladimir Igorevich Arnol'd, V. I. Arnol'd, V. I. Arnold, V.I. Arnol'd, V.I. Arnold, Vladimir Igorevich Arnold
Russian mathematician who studied integrable systems and differential equations (1937–2010)
OverviewAI-generated
Vladimir Arnold (1937–2010) was a person recognized in the collections of the Royal Society and the American Academy Arts Sciences. His academic output includes the work *Singularities of Caustics and Wave Fronts*. He maintained an official website and had an Erdős number of 3.
Arnold’s name is referenced by 440 other encyclopedia articles. He is listed in the Open Library with one recorded work. His identity is also associated with a specific category on Commons and a kana name representation.
Synthesized by Vinony from 19 facts across 7 sources: Wikidata, Firecrawl, Crossref, MusicBrainz, Open Library, Vinony collections, Vinony graph. Generated from structured data (not the Wikipedia text) and checked against those facts — may still contain errors.
Person · Open Library
- Works
- 1
Top works
- Singularities of Caustics and Wave Fronts
via Open Library + Wikidata
Recent publications · Crossref
5 total works indexed
- Support-vector networks
· 1995 · cited 30,613x
- The Nature of Statistical Learning Theory
· 1995 · cited 17,984x
- A global reference for human genetic variation
· 2015 · cited 17,753x
- The MIQE Guidelines: Minimum Information for Publication of Quantitative Real-Time PCR Experiments
· 2009 · cited 14,203x
- Support-Vector Networks
· 1995 · cited 12,165x
via Crossref · CC0
Quotes
- “In the middle of the twentieth century it was attempted to divide physics and mathematics. The consequences turned out to be catastrophic. Whole generations of mathematicians grew up without knowing half of their science and, of course, in total ignorance of any other sciences. They first began teaching their ugly scholastic pseudo-mathematics to their students, then to schoolchildren (forgetting Hardy's warning that ugly mathematics has no permanent place under the Sun).”
- “It is almost impossible for me to read contemporary mathematicians who, instead of saying “Petya washed his hands,” write simply: “There is a t_1 such that the image of t_1 under the natural mapping t_1 \mapsto {\rm Petya}(t_1) belongs to the set of dirty hands, and a t_2, t_1, such that the image of t_2 under the above-mentioned mapping belongs to the complement of the set defined in the preceding sentence.””
- “A person, who had not mastered the art of the proofs in high school, is as a rule unable to distinguish correct reasoning from that which is misleading. Such people can be easily manipulated by the irresponsible politicians.”
- “In the last 30 years, the prestige of mathematics has declined in all countries. I think that mathematicians are partially to be blamed as well—foremost, Hilbert and Bourbaki—the ones who proclaimed that the goal of their science was investigation of all corollaries of arbitrary systems of axioms.”
- “All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like), hydrodynamics (supported by manufacturers of atomic submarines) and celestial mechanics (financed by military and by other institutions dealing with missiles, such as NASA.).”
- “Such axioms, together with other unmotivated definitions, serve mathematicians mainly by making it difficult for the uninitiated to master their subject, thereby elevating its authority.”
via Wikiquote · CC BY-SA
Official website
Arnold, Vladimir Igorevich
mi.ras.ru →Link to the official site · 4,180 chars · not written by Vinony
~25 min read
Encyclopedic overview
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) 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. In his later years he shifted his research interests, investigating discrete mathematics.
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), KAM theory (with Andrey Kolmogorov and Jürgen Moser) and symplectic topology.
Excerpted from Wikipedia’s “Vladimir Arnold” article, available under the CC BY-SA 4.0 licence.