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''Éléments de mathématique'' is a treatise on mathematics by the collective Nicolas Bourbaki, composed of ten books (each divided into one or more chapters). The first volumes were published by Éditions Hermann from 1940 initially in the form of booklets and then as bound volumes. Following a disagreement with the editor, the publication was resumed in the 1970s by the CCLS, and then in the 1980s by Editions Masson. Since 2006, Springer Verlag has republished all the fascicles. The strange singular "mathématique" in the title is deliberate, to convey the authors' belief that the material is a unity, contrary to what conventional form of the title might suggest.〔Mashaal (2006) p. 55〕 Conversely, the title ''Éléments d'histoire des mathématiques'' by the same authors employs the plural to indicate that before Bourbaki, mathematics was a set of scattered disciplines, and that the modern notion of structure has allowed their unification.〔Mashaal (2006) p. 56〕 The first six volumes follow a logical sequence. The subsequent volumes are dependent on the first six, but not on each other.〔 == Volumes in the series == The series is divided into books and each book into chapters. Below is the list of books in the series.〔(Ouvrages de N. Bourbaki ) at the Bourbaki site〕 〔(Eléments de Mathématique ) series in Springer〕 〔(Elements of Mathematics ) series in Springer〕 1. Set theory :''French edition'' * Théorie des ensembles, chapitres 1 à 4, 352 p., 1970 (reprint in 1998) :''English edition'' * Theory of Sets, 2004 2. Algebra :''French edition'' * Algèbre, chapitres 1 à 3, 654 p., 1970 * Algèbre, chapitres 4 à 7, 432 p., 1981 * Algèbre, chapitres 8, 489 p., 2012 * Algèbre, chapitre 9, 212 p., 1959 (new edition in 1973) * Algèbre, chapitre 10, 224 p., 1980 :''English edition'' * Algebra I, chapters 1-3, 1973 (Addison-Wesley), 1989 * Algebra II, chapters 4-7, 1990 3. Topology :''French edition'' * Topologie Générale, chapitres 1 à 4, 376 p., 1971 (reprint in 1990) * Topologie Générale, chapitres 5 à 10, 334 p., 1974 :''English edition'' * General Topology, chapters 1-4, 1989 * General Topology, chapters 5-10, 1989 4. Functions of a Real Variable :''French edition'' * Fonctions d'une Variable Réelle, chapitres 1 à 7, 336 p., 1976 :''English edition'' * Functions of a Real Variable, 2004 5. Topological vector spaces :''French edition'' * Espaces Vectoriels Topologiques, chapitres 1 à 5, 400 p., 1981 :''English edition'' * Topological Vector Spaces, chapters 1-5, 1987 6. Integration :''French edition'' * Intégration, chapitres 1 à 4, 284 p., 1965 (new edition in 1973) * Intégration, chapitre 5, 154 p., 1967 * Intégration, chapitre 6, 106 p., 1959 * Intégration, chapitres 7 et 8, 222 p., 1963 * Intégration, chapitre 9, 134 p., 1969 :''English edition'' * Integration I, Chapters 1-6, 2004 * Integration II, Chapters 7-9, 2004 7. Commutative algebra :''French edition'' * Algèbre commutative, chapitres 1 à 4, 364 p., 1968 et 1969 (reprint in 1985) * Algèbre commutative, chapitre 5 à 7, 352 p., 1964et 1965 (reprint in 1985) * Algèbre commutative, chapitres 8 et 9, 208 p., 1983 * Algèbre commutative, chapitre 10, 187 p., 1998 :''English edition'' * Commutative algebra, chapters 1-7, 1989 8. Differential manifolds (summary of results) :''French edition'' * Variétés différentielles et analytiques (fascicule de résultats), 198 p., 1971 (reprint in 1998) 9. Lie groups and algebras :''French edition'' * Groupes et algèbres de Lie, chapitre 1, 146 p., 1971 * Groupes et algèbres de Lie, chapitres 2 et 3, 320 p., 1972 * Groupes et algèbres de Lie, chapitres 4 à 6, 288 p., 1968 (reprint in 1981) * Groupes et algèbres de Lie, chapitres 7 et 8, 272 p., 1975 (reprint in 1998) * Groupes et algèbres de Lie, chapitre 9, 144 p., 1982 :''English edition'' * Lie groups and Lie algebras, chapters 1-3, 1989 * Lie groups and Lie algebras, chapters 4-6, 2002 * Lie groups and Lie algebras, chapters 7-9, 2005 10. Spectral theory :''French edition'' * Théories spectrales, chapitres 1 et 2, 168 p., 1967 11. History of mathematics :''French edition'' * Éléments d'histoire des mathématiques, 376 p., 1974 (reprint in 1984) :''English edition'' * Elements of the history of mathematics, 1994 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Éléments de mathématique」の詳細全文を読む スポンサード リンク
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