Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian: ?????´??? ?´??????? ????´???, 12 June 1937 – 3 June 2010) 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, algebra, catastrophe theory, topology, algebraic geometry, symplectic geometry, differential equations, classical mechanics, hydrodynamics and singularity theory, including posing the ADE classification problem, since his first main result—the solution of Hilbert's thirteenth problem in 1957 at the age of 19.
He co-founded two new branches of mathematics—KAM theory, and topological Galois theory (this, with his student Askold Khovanskii).
Arnold was also known as a popularizer of mathematics.
Through his lectures, seminars, and as the author of several textbooks (such as the famous Mathematical Methods of Classical Mechanics, and Lectures on Partial Differential Equations) and popular mathematics books, he influenced many mathematicians and physicists.
Many of his books were translated into English.
His views on education were particularly anti-Bourbaki.