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One of the world’s greatest and most influential mathematicians, Vladimir Arnold, passed away today in Paris, France. He made major contributions, inter alia, to the fields of dynamical systems (the famous KAM (Kolmogorov-Arnold-Moser) theory) and topology (he is one of the founding fathers of symplectic topology). I hope that the prominent mathematicians like Terence Tao or Timothy Gowers will say more on their blogs about Arnold’s scientific legacy as they did for Israel Gelfand (update: Terence Tao has a recent post on the Euler–Arnold equation).
In addition to leaving a great legacy of mathematical theories, results and open problems, he authored a number of graduate and undergraduate textbooks (the best known perhaps being Mathematical Methods of Classical Mechanics) which were a major influence.