English

Elements of Mathematics

Nicolas Bourbaki ( French: [nikɔla buʁbaki] ) is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale supérieure (ENS). Founded in 1934–1935, the Bourbaki group originally intended to prepare a new textbook in analysis . Over time the project became much more ambitious, growing into a large series of textbooks published under the Bourbaki name, meant to treat modern pure mathematics . The series is known collectively as the Éléments de mathématique ( Elements of Mathematics ), the group's central work. Topics treated in the series include set theory , abstract algebra , topology , analysis, Lie groups and Lie algebras . Bourbaki was founded in response to the effects of the First World War which caused the death of a generation of French mathematicians; as a result, young university instructors were forced to use dated texts. While teaching at the University of Strasbourg , Henri Cartan complained to his colleague André Weil of the inadequacy of available course material, which prompted Weil to propose a meeting with others in Paris to collectively write a modern analysis textbook. The group's core founders were Cartan, Claude Chev

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