Research topic:Nicolas Bourbaki

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Nicolas Bourbaki

The Columbia Encyclopedia, Sixth Edition

Nicolas Bourbaki pseudonym under which a group of 20th cent. mathematicians has written a series of treatises on pure mathematics. The mathematicians have all been associated with the Ecole Normale Supérieure in Paris at some point in their careers; among them are the French scholars Claude Chevalley, André Weil, Henri Cartan, and Jean Dieudonné along with the American Samuel Eilenberg. The pseudonym was jokingly adopted from Gen. Charles Bourbaki , becuase of his disastrous defeat in the Franco-Prussian War.

The principal aim of the Bourbaki group ( L'Association des Collaborateurs de Nicolas Bourbaki ) is to provide a solid foundation for the whole body of modern mathematics. The method of exposition is axiomatic and abstract, logically coherent and rigorous, proceeding normally from the general to the particular, a style found to be not altogether congenial to many readers. The ongoing series of books began with Éléments de Mathématiques in 1939, and other books on algebra, set theory, topology, and other topics have followed. Many books in the series have become standard references, though some mathematicians are critical of their austerely abstract point of view.

Author not available, BOURBAKI, NICOLAS., The Columbia Encyclopedia, Sixth Edition 2008


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The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press

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Related entries from encyclopedias, dictionaries, and thesauruses

Bourbaki, Nicolas
Bourbaki, Nicolas a pseudonym of a group of mathematicians, mainly French, attempting to give a complete account of the foundations of pure mathematics... Read more
Benoit B. Mandelbrot
...maverick in the field of mathematics, he is uncomfortable with the rigorously pure logical analysis prescribed by Nicolas Bourbaki and relies instead on his talent for visualizing natural phenomena. A pioneer of chaos theory , he conceived, developed... Read more
Élie Joseph Cartan
...in 1931. His son, Henri Cartan, 1904-, is also a mathematician and one of the founding members of the Bourbaki group (see Bourbaki, Nicolas ). Author not available, CARTAN, ÉLIE JOSEPH. , The Columbia Encyclopedia, Sixth Edition 2008 Read more

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