WorldCat Identities

Bourbaki, Nicolas

Overview
Works: 2,024 works in 5,061 publications in 8 languages and 34,410 library holdings
Genres: History  Conference proceedings 
Roles: Author, Editor, Dedicatee
Classifications: QA251.3, 512.55
Publication Timeline
Key
Publications about  Nicolas Bourbaki Publications about Nicolas Bourbaki
Publications by  Nicolas Bourbaki Publications by Nicolas Bourbaki
Most widely held works about Nicolas Bourbaki
 
moreShow More Titles
fewerShow Fewer Titles
Most widely held works by Nicolas Bourbaki
Théorie des ensembles by Nicolas Bourbaki ( Book )
330 editions published between 1939 and 2014 in 6 languages and held by 2,333 WorldCat member libraries worldwide
This book is an English translation of the last French edition of Bourbaki?s Fonctions d'une Variable R?elle. The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to the study of the Gamma function on the real line as well as on the complex plane. Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc
Algèbre by Nicolas Bourbaki ( )
107 editions published between 1970 and 2012 in 3 languages and held by 1,765 WorldCat member libraries worldwide
This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Algèbre'. It gives a thorough exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, especially with respect to the tensor product and duality constructions. The third chapter investigates algebras, in particular tensor algebras. Determinants, norms, traces and derivations are also studie
Theory of sets by Nicolas Bourbaki ( Book )
82 editions published between 1968 and 2013 in English and held by 1,551 WorldCat member libraries worldwide
This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Thorie des Ensembles (1970)
Groupes et algèbres de Lie by Nicolas Bourbaki ( )
70 editions published between 1972 and 2007 in 4 languages and held by 1,484 WorldCat member libraries worldwide
Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxième volume du Livre sur les Groupes et algèbres de Lie, neuvième Livre du traité, comprend les chapitres: 2. Algèbres de Lie libres; 3. Groupes de Lie. Le chapitre 2 poursuit la présentation des notions fondamentales des algèbres de Lie avec l'introduction des algèbres de Lie libres et de la série de Hausdorff. Le chapitre 3 est consacré aux concepts de base pour les groupes de Lies sur un corps archimédien ou ultramétrique. Ce volume contient également de notes historiques pour les chapitres 1 à 3. Ce volume est une réimpression de l'édition de 1972
Algèbre commutative by Nicolas Bourbaki ( )
76 editions published between 1961 and 2007 in 4 languages and held by 1,398 WorldCat member libraries worldwide
Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxià ̈me volume du Livre d Algà ̈bre commutative, septià ̈me Livre du traité, introduit deux notions fondamentales en algà ̈bre commutative, celle d entier algébrique et celle de valuation, qui ont de nombreuses applications en théorie des nombres et en géometrie algébrique. It traite également des anneaux de Krull ou de Dedekind. Il comprend les chapitres: 1. Entiers; 2. Valuations; 3. Diviseurs. Il contient égale
Éléments d'histoire des mathématiques by Nicolas Bourbaki ( Book )
52 editions published between 1960 and 2007 in French and English and held by 1,216 WorldCat member libraries worldwide
Ce volume rassemble les notes historiques parues dans les différents livres des éléments de mathématique de l'auteur. Elles concernent donc l'ensemble des matières abordées dans ce traité: théorie des ensembles, algèbre, topologie, fonctions d'une variable réelle, espaces vectoriels topologiques, intégration, algèbre commutative, groupes et algèbres de Lie
General topology by Nicolas Bourbaki ( Book )
19 editions published between 1966 and 1989 in English and held by 1,014 WorldCat member libraries worldwide
Intégration by Nicolas Bourbaki ( )
44 editions published between 1969 and 2007 in French and English and held by 835 WorldCat member libraries worldwide
Intégration, Chapitre 9 Intégration sur les espaces topologiques séparés Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce neuvième chapitre du Livre d'Intégration, sixième Livre des éléments de mathématique, est consacré a l'intégration dans les espaces topologiques séparés non nécessairement localement compacts, ce qui permet d'étendre la théorie de la transformation de Fourier aux espaces vectoriels localement convexes. Ce chapitre introduit également la mesure de Wiener qui intervient dans le cadre de l'étude du movement brownian. Il contient une note historique. Ce volume a été publié en 1969
Éléments de mathématique by Nicolas Bourbaki ( Book )
205 editions published between 1939 and 2006 in 3 languages and held by 825 WorldCat member libraries worldwide
Espaces vectoriels topologiques by Nicolas Bourbaki ( Book )
108 editions published between 1953 and 2007 in 4 languages and held by 804 WorldCat member libraries worldwide
Intégration by Nicolas Bourbaki ( Book )
73 editions published between 1952 and 2007 in 4 languages and held by 750 WorldCat member libraries worldwide
Elements of the history of mathematics by Nicolas Bourbaki ( Book )
29 editions published between 1963 and 2002 in 4 languages and held by 672 WorldCat member libraries worldwide
Nicolas Bourbaki's multi-volume treatise "The Elements of Mathematics" contains, in each volume, a section or chapter devoted to the history of the subject. This book collects together these historical segments, without any claim to establishing a complete or chronological history of mathematics, but with an emphasis on the emergence, development and interaction of the leading ideas of the mathematical theories presented in the "Elements". In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century
Fonctions d'une variable réelle théorie élémentaire by Nicolas Bourbaki ( Book )
59 editions published between 1949 and 2007 in 4 languages and held by 664 WorldCat member libraries worldwide
Présentation rigoureuse et systématique des mathématiques depuis leurs fondements Ne suppose pas de connaissance mathématique particulière, seulement une certaine habitude du raisonnement mathématique et un certain pouvoir d'abstraction. Ce livre, 4e partie du traité, est consacré aux bases de l'analyse réelle
Lie groups and Lie algebras by Nicolas Bourbaki ( Book )
40 editions published between 1973 and 1998 in English and French and held by 642 WorldCat member libraries worldwide
Commutative algebra by Oscar Zariski ( Book )
34 editions published between 1964 and 1988 in 4 languages and held by 611 WorldCat member libraries worldwide
Topologie générale by Nicolas Bourbaki ( )
34 editions published between 1966 and 2007 in 3 languages and held by 474 WorldCat member libraries worldwide
Topologie générale, Chapitres 5 à 10 Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxième volume du Livre de Topologie générale, troisième Livre du traité, décrit de nombreux outils fondamentaux en topologie et en analyse, tels que le théorème d'Urysohn, le théorème de Baire ou les espaces polonais. Il comprend les chapitres : Groupes à un paramètre ; Espaces numériques et espaces projectifs ; Les groupes additifs Rn ; Nombres complexes ; Utilisation des nombres réels en topologie générale ; Espaces fonctionnels. Il contient également des notes historiques. Ce volume a été publié en 1974
Algèbre by Nicolas Bourbaki ( Book )
74 editions published between 1942 and 2007 in 5 languages and held by 428 WorldCat member libraries worldwide
Topologie générale by Nicolas Bourbaki ( )
16 editions published between 1971 and 2007 in French and held by 419 WorldCat member libraries worldwide
Théories spectrales, chapitres 1 et 2 by Nicolas Bourbaki ( )
17 editions published between 1967 and 2007 in 3 languages and held by 392 WorldCat member libraries worldwide
Éléments de mathématique by Nicolas Bourbaki ( )
11 editions published between 1982 and 2007 in French and held by 371 WorldCat member libraries worldwide
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.68 (from 0.21 for The story ... to 0.95 for Séminaire ...)
Alternative Names
Bass, Hyman ca. 20. Jh.-
Beauville, Arnaud ca. 20. Jh.-
Borel, Armand ca. 20. Jh.-
Bourbaki, N.
Bourbaki, N. ca. 20. Jh.-
Bourbaki, N. (Nicolas)
Bourbaki, Nicolas
Bourbaki, Nicolas pseud
Bourbaki, Nicolas pseud. coll
Bourbaki, Nicolaus ca. 20. Jh.-
Bruhat, François ca. 20. Jh.-
Burbaki, N.
Burbaki, N ca. 20. Jh.-
Cartan, Henri ca. 20. Jh.-
Cartier, Pierre ca. 20. Jh.-
Chabauty, Claude ca. 20. Jh.-
Chevalley, C.
Chevalley, Claude ca. 20. Jh.-
Connes, Alain ca. 20. Jh.-
Debreu, Gérard ca. 20. Jh.-
Deligne, Pierre ca. 20. Jh.-
Delsarte, Jean ca. 20. Jh.-
Demazure, Michel ca. 20. Jh.-
Dieudonné, Jean Alexandre ca. 20. Jh.-
Dixmier, Jacques ca. 20. Jh.-
Douady, Adrien ca. 20. Jh.-
Dubreil, Paul ca. 20. Jh.-
Ehresmann, Charles ca. 20. Jh.-
Eilenberg, Samuel ca. 20. Jh.-
Godement, Roger ca. 20. Jh.-
Groep jonge Franse mathematici
Grothendieck, Alexander ca. 20. Jh.-
Henniart, Guy ca. 20. Jh.-
Koszul, Jean-Louis ca. 20. Jh.-
Lang, Serge
Lang, Serge ca. 20. Jh.-
Leray, Jean ca. 20. Jh.-
Mandelbrojt, Szolem ca. 20. Jh.-
Nicolas Bourbaki ca. 20. Jh.-
Oesterlé, Joseph ca. 20. Jh.-
Pisot, Charles ca. 20. Jh.-
Possel, René de ca. 20. Jh.-
Raynaud, Michel ca. 20. Jh.-
Samuel, Pierre
Samuel, Pierre ca. 20. Jh.-
Schwartz, Laurent ca. 20. Jh.-
Serre, Jean-Pierre ca. 20. Jh.-
Tate, John T. ca. 20. Jh.-
Teissier, Bernard ca. 20. Jh.-
Verdier, Jean-Louis
Verdier, Jean-Louis ca. 20. Jh.-
Weil, André ca. 20. Jh.-
Бурбаки, Н.
Бурбаки, Николас
ブルバキ
ブルバキ, ニコラ
Languages
French (1,147)
English (285)
Russian (30)
Italian (15)
Spanish (8)
Japanese (6)
German (2)
Chinese (1)
Covers