Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 34. Chapters: Aleksei Pogorelov, Alexander Boichuk, Alexander Ostrowski, Alexandre Eremenko, Alexey Grigorevich Ivakhnenko, Anatolii Goldberg, Anatoliy Skorokhod, Anatoly Samoilenko, Ari Laptev, Boris Yakovlevich Bukreev, Chudnovsky brothers, David Milman, Dmitry Grave, G. V. Belyi, Georgii Yurii Pfeiffer, Igor Ohirko, Igor Rodnianski, Joseph Dzhun, Josif Shtokalo, Leonid Pastur, Leonid Plyushch, List of Ukrainian mathematicians, Litnarovich Ruslan Nicolaevich, Mark Krasnosel'skii, Mark Krein, Mikhail Kravchuk, Myhailo Yadrenko, Mykhailo Vaschenko-Zakharchenko, Naum Z. Shor, Nicolas Rashevsky, Nikolai Chebotaryov, Nikolay Bogolyubov, Nikolay Mitrofanovich Krylov, Oleksandr Mikolaiovich Sharkovsky, Rostislav Grigorchuk, Sergei Natanovich Bernstein, Suren Arakelov, Tatyana Afanasyeva, Vadim G. Vizing, Vadym Adamyan, Valentina Borok, Victor Lidskii, Vladimir Drinfeld, Vladimir Marchenko, Volodymyr Korolyuk, Volodymyr Petryshyn, Yurii Dmitrievich Sokolov, Yurii Mitropolskiy. Excerpt: Nikolay Nikolayevich Bogolyubov (Russian: ; 21 August 1909 - 13 February 1992), also transliterated as Bogoliubov, was a Soviet mathematician and theoretical physicist known for a significant contribution to quantum field theory, classical and quantum statistical mechanics, and to the theory of dynamical systems; a recipient of the Dirac Prize (1992). Nikolay Bogolyubov was born on 21 August 1909 in Nizhny Novgorod, Russian Empire to Russian Orthodox Church priest and seminary teacher of theology, psychology and philosophy Nikolay Mikhaylovich Bogolyubov, and Olga Nikolayevna Bogolyubova, a teacher of music. The Bogolyubovs relocated to the village of Velikaya Krucha in the Poltava Governorate (now in Poltava Oblast, Ukraine) in 1919, where the young Nikolay Bogolyubov began to study physics and mathematics. The family soon moved to Kiev in 1921, where they continued to live in poverty as the elder Nikolay Bogolyubov only found a position as a priest in 1923. He attended research seminars in Kiev University and soon started to work under the supervision of a famous mathematician Nikolay Krylov. In 1924, at the age of 13, Nikolay Bogolyubov wrote his first published scientific paper On the behavior of solutions of linear differential equations at infinity. In 1925 he entered Ph.D. program at the Academy of Sciences of the Ukrainian SSR and obtained the degree of Kandidat Nauk (Candidat of Sciences, equivalent to Ph.D.) in 1928, at the age of 19, with the Ph.D. thesis On direct methods of variational calculus. In 1930, at the age of 21, he obtained the degree of Doktor nauk (Doctor of Sciences, equivalent to Habilitation), the highest degree in the Soviet Union, which requires to make a significant independent contribution to the science after Ph.D. This early period of Bogolyubov's work in science was concerned with such mathematical problems as direct methods of the calculus of variations, the theory of almost periodic functions, methods of approximate solution of d
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