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David Hilbert est l'un des mathématiciens les plus influents du XXe siècle. Né le 23 janvier 1862 à Königsberg, en Prusse, il a montré dès son plus jeune âge un intérêt extraordinaire pour les mathématiques. Ses parents, Otto et Maria Hilbert, étaient eux-mêmes passionnés de sciences et ont encouragé leur fils à poursuivre ses études dans ce domaine. Hilbert a commencé ses études à l'Université de Königsberg en 1880, où il a rapidement attiré l'attention de ses professeurs grâce à son intelligence singulière. Obtenant son diplôme en 1884, il a ensuite poursuivi son doctorat à l'université de Berlin sous la direction de Leopold Kronecker et Karl Weierstrass. En 1888, Hilbert a été nommé professeur à l'université de Königsberg, où il a commencé à développer ses idées novatrices en mathématiques. Son travail s'est concentré sur l'analyse mathématique, la géométrie et les fondements des mathématiques. Il a notamment formulé les bases de l'arithmétique des quantités transfinies et a introduit l'axiomatique moderne. Hilbert a publié un certain nombre de textes influents au cours de sa carrière, dont les plus célèbres sont ses "Fondements de la géométrie", qui ont établi les bases pour les études ultérieures dans ce domaine. Il a également proposé ses célèbres "problèmes de Hilbert" en 1900. Ces 23 problèmes ont joué un rôle essentiel dans le développement des mathématiques au XXe siècle. En tant que professeur et mentor, Hilbert a joué un rôle clé dans la formation de nombreux grands mathématiciens, tels que Emmy Noether, Hermann Weyl et Richard Courant. Il a également fondé Mizar, un cercle de mathématiques où les étudiants pouvaient approfondir et discuter de sujets mathématiques avancés. Après avoir enseigné à l'université de Königsberg pendant plus de 30 ans, Hilbert a été contraint de quitter son poste en raison de la montée du nazisme en Allemagne. En 1933, il s'est exilé aux États-Unis avec sa femme et ses deux enfants. Il a ensuite occupé des postes d'enseignement à l'université de Göttingen et à l'université de Princeton. David Hilbert est mort le 14 février 1943 à l'âge de 81 ans, laissant derrière lui un héritage mathématique majeur. Son travail a eu une influence profonde sur de nombreux domaines des mathématiques, de la physique théorique à l'informatique théorique. Sa vision des mathématiques comme une discipline axée sur la beauté et la rigueur continue d'inspirer les générations futures de mathématiciens.

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