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Dieudonné was one of the two main contributors to the Bourbaki series of texts. He began his mathematical career working on the analysis of polynomials. He worked in a wide variety of mathematical areas including general topology, topological vector spaces, algebraic geometry, invariant theory and the classical groups.
His best known books are La Géométrie des groupes classiques (1955), Foundations of Modern Analysis (1960), and Algèbre linéaire et géométrie élémentaire (1964).
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