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Pseudonym of a group of mathematicians
Nicolas Bourbaki (French: [nikola buʁbaki]) is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale
Nicolas_Bourbaki
Mathematical seminars held in Paris since 1948
The Séminaire Nicolas Bourbaki (from French: Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has
Séminaire_Nicolas_Bourbaki
Typological symbol representing difficulty
bend or caution symbol ☡ (U+2621 ☡ CAUTION SIGN) was created by the Nicolas Bourbaki group of mathematicians and appears in the margins of mathematics books
Bourbaki dangerous bend symbol
Bourbaki_dangerous_bend_symbol
Series of mathematics books by Nicolas Bourbaki
of mathematics books written by the pseudonymous French collective Nicolas Bourbaki. Begun in 1939, the series has been published in several volumes, and
Éléments_de_mathématique
Topics referred to by the same term
military Nicolas Bourbaki, the collective pseudonym of a group of French mathematicians Séminaire Nicolas Bourbaki and its follow-ups Séminaire Nicolas Bourbaki
Bourbaki
Fixed-point theorem
In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed-point theorem for partially ordered
Bourbaki–Witt_theorem
French soldier and officer (1816–1897)
Charles Denis Sauter Bourbaki (22 April 1816 – 22 September 1897) was a French general. Bourbaki was born at Pau in extreme southwestern France, the son
Charles-Denis_Bourbaki
Continuation of the Séminaire Nicolas Bourbaki programme, for the 1960s. Adrien Douady, Plongements de sphères, d'après Mazur et Brown (embeddings of spheres)
Séminaire Nicolas Bourbaki (1960–1969)
Séminaire_Nicolas_Bourbaki_(1960–1969)
Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. Armand Borel, Sous-groupes compacts maximaux des groupes de Lie, d'après Cartan
Séminaire Nicolas Bourbaki (1950–1959)
Séminaire_Nicolas_Bourbaki_(1950–1959)
Theorem used to extend Galois theory to field extensions that need not be separable
to unpublished work by Nicolas Bourbaki. The extension of Galois theory to normal extensions is called the Jacobson–Bourbaki correspondence, which replaces
Jacobson–Bourbaki_theorem
simplifications of Hermite's proof are due to Mary Cartwright, Ivan Niven, and Nicolas Bourbaki (pseudonym of a group of mathematicians). Another proof, which is a
Proof_that_pi_is_irrational
French mathematician
[tɛsje]; born 1945) is a French mathematician and a member of the Nicolas Bourbaki group. He has made major contributions to algebraic geometry and commutative
Bernard_Teissier
Mathematical function such that every output has at least one input
surjective and the related terms injective and bijective were introduced by Nicolas Bourbaki, a group of mainly French 20th-century mathematicians who, under this
Surjective_function
Academic journal
monographs, conference reports, and the annual report of the Séminaire Nicolas Bourbaki. Official website Astérisque – AMS Bookstore – American Mathematical
Astérisque
Special subset of a partially ordered set
mathematical logic. Filters on sets were introduced by Henri Cartan in 1937. Nicolas Bourbaki, in their book Topologie Générale, popularized filters as an alternative
Filter_(mathematics)
French mathematician (born 1954)
He is a member of Bourbaki. Joseph Oesterlé at the Mathematics Genealogy Project Oesterlé „Travaux de Wiles II“, Seminar Bourbaki 1994/5 Archived 2016-03-03
Joseph_Oesterlé
Additional mathematical object
differential structures. In 1939, the French group with the pseudonym "Nicolas Bourbaki" saw structures as the root of mathematics. They first mentioned them
Mathematical_structure
Mathematical function
ISBN 0-521-26564-9. Bourbaki, Nicolas (1968). Elements of Mathematics: Theory of Sets. Hermann. ISBN 0-201-00634-0. John Harrison, "The Bourbaki View" eprint
Choice_function
Theory of software design
Worse Is Better Is Worse under the pseudonym Nickieben Bourbaki (an allusion to Nicolas Bourbaki), while also writing Is Worse Really Better?, applying
Worse_is_better
Book by Giuseppe Peano
published in 1894. The fifth and last edition was published in 1908. Nicolas Bourbaki described Peano's notation in the Formulario as "following current
Formulario_mathematico
Stack Exchange mathematician
develop their own problem-solving approaches. 15 (software engineer) Nicolas Bourbaki Satoshi Nakamoto Cunningham's Law Gerasimov, Mikhail (20 February 2025)
Cleo_(mathematician)
Branch of mathematics
algebra and tensors as important mathematical tools in physics. In 1958, Nicolas Bourbaki included a chapter on multilinear algebra titled "Algèbre Multilinéaire"
Multilinear_algebra
Family of subsets representing "large" sets
context of general topological spaces and were subsequently developed by Nicolas Bourbaki in their book Topologie Générale (first edition in 1940) as an alternative
Filter_on_a_set
French mathematician (1906-1998)
space in general topology, as a by-product of his collaboration with Nicolas Bourbaki (of which he was a Founding Father). His work on sheaf theory hardly
André_Weil
French mathematician (born 1952)
planning. He was a member of Bourbaki. L'instanton gordien, d'après P. B. Kronheimer et T. S. Mrowka, Séminaire Bourbaki Nr. 770, 1992/93, numdam Monopôles
Daniel_Bennequin
American mathematician
Hyman Bass (/ˈhaɪmən bæs/; born October 5, 1932) is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998
Hyman_Bass
equivalent characterisations. Regulated functions were introduced by Nicolas Bourbaki in 1949, in their book "Livre IV: Fonctions d'une variable réelle"
Regulated_function
Definition of integral for regulated functions
regulated integral instead of the Riemann integral has been advocated by Nicolas Bourbaki and Jean Dieudonné. Let [a, b] be a fixed closed, bounded interval
Regulated_integral
French mathematician
the École Normale Supérieure with Adrien Douady. Verdier was a member of Bourbaki. In 1984 he was the president of the Société Mathématique de France. In
Jean-Louis_Verdier
Name used by many different people to protect anonymity
criticised.[citation needed] One of the first modern multiple-use names was Nicolas Bourbaki, used by a group of French mathematicians associated with the École
Multiple-use_name
French mathematician (1909–1984)
theory and the theory of algebraic groups. He was a founding member of the Bourbaki group. His father, Abel Chevalley, was a French diplomat who, jointly with
Claude_Chevalley
2018 studio album by Twenty One Pilots
is Nicolas Bourbaki. — Tyler Joseph, speaking to Music Feeds Trench's city, Dema, is ruled by nine "bishops", whose names are Nico (full name Nicolas Bourbaki
Trench_(album)
French mathematician (1921–2009)
Nathan Jacobson and Pierre Cartier, another outstanding member of the Bourbaki group. Nicholas Katz related this to the concept of p-curvature of a connection
Pierre_Samuel
Belgian mathematician (1930–2021)
renounced his Belgian citizenship. Tits was an "honorary" member of the Nicolas Bourbaki group; as such, he helped popularize H.S.M. Coxeter's work, introducing
Jacques_Tits
Age versus math ability
the topologist Joan Birman. A Mathematician's Apology Fields Medal Nicolas Bourbaki Sociology of science Creativity and intelligence Fluid and crystallized
Age and mathematical productivity
Age_and_mathematical_productivity
German mathematician (1862–1943)
from the later "foundationalist" Russell–Whitehead or "encyclopedist" Nicolas Bourbaki, and from his contemporary Giuseppe Peano. The mathematical community
David_Hilbert
Grothendieck. In 2015, Denis-Charles Cisinski gave a talk at the Séminaire Nicolas Bourbaki summarizing the current state of research titled Catégories supérieures
Denis-Charles_Cisinski
Number in {..., –2, –1, 0, 1, 2, ...}
notation in a textbook occurs in Algèbre written by the collective Nicolas Bourbaki, dating to 1947. The notation was not adopted immediately. For example
Integer
French mathematician
Gilles Lebeau is a French mathematician born on 17 November 1954, professor at the University of Nice Sophia-Antipolis (since 2001), member of the Institut
Gilles_Lebeau
Method of mathematical integration
integral of its indicator function. This is the approach taken by Nicolas Bourbaki and a certain number of other authors. For details see Radon measures
Lebesgue_integral
French mathematician (1928–2014)
Algébrique (FGA), which gathers together talks given in the Séminaire Bourbaki, also contains important material. Grothendieck's work includes the invention
Alexander_Grothendieck
French mathematician (1905–1979)
differential topology and category theory. He was an early member of the Bourbaki group, and is known for his work on the differential geometry of smooth
Charles_Ehresmann
2012 book by Andy Greenberg
and the people involved. It talks about WikiLeaks being modeled on Nicolas Bourbaki, and how it could be infiltrated by informers, harassed or spied on
This_Machine_Kills_Secrets
French publisher
the pseudonymous collective Nicolas Bourbaki. Publication of the series began in the 1930s, the decade when the Bourbaki group was founded; at that time
Éditions_Hermann
British-American mathematician (born 1962)
locale pour GLn: travaux de Harris–Taylor et Henniart", Séminaire Nicolas Bourbaki (in French): 191–243 Taylor's staff page at Stanford. SAVILIAN PROFESSORSHIP
Richard Taylor (mathematician)
Richard_Taylor_(mathematician)
School of Mathematics Law of Continuity Lwów School of Mathematics Nicolas Bourbaki Non-Euclidean geometry Scottish Café Seven bridges of Königsberg Spectral
List of mathematics history topics
List_of_mathematics_history_topics
Locally convex topological vector space that is also a complete metric space
an "F-space"). The local convexity requirement was added later by Nicolas Bourbaki. A sizable number of authors (e.g. Schaefer) use "F-space" to mean
Fréchet_space
Greek and French mathematician (born 1955)
Mathematicians in Kyoto (Operator Algebras and Duality). He was a member of Bourbaki. with Joachim Cuntz, Boris Tsygan: Cyclic homology in non-commutative geometry
Georges_Skandalis
French-American mathematician
He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group. As an activist, Lang campaigned against the Vietnam War, and also
Serge_Lang
Names that authors use instead of real names
Republic and using it implied a positive intention. In pure mathematics, Nicolas Bourbaki is the pseudonym of a group of mostly French-connected mathematicians
Pen_name
French mathematician (1906–1992)
geometry, and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the Éléments de géométrie algébrique project
Jean_Dieudonné
Subset whose closure is the whole space
} Nicolas Bourbaki (1989) [1971]. General Topology, Chapters 1–4. Elements of Mathematics. Springer-Verlag. ISBN 3-540-64241-2. Bourbaki, Nicolas (1989)
Dense_set
Number used for counting
many mathematicians such as George A. Wentworth, Bertrand Russell, Nicolas Bourbaki, Paul Halmos, Stephen Cole Kleene, and John Horton Conway included
Natural_number
Pseudonym used by a group of French differential geometers
differential geometers, led by Marcel Berger, following the model of Nicolas Bourbaki. A number of monographs have appeared under the name. Besse, Arthur
Arthur_Besse
American mathematician (1925–2019)
d'isogénie des variétés abéliennes sur un corps fini (d' après T. Honda)", Sem. Bourbaki Exp. 352, Lect. notes in math., 179, Springer (1971) "John Torrence Tate
John_Tate_(mathematician)
French mathematician
and discovering the Koszul complex. He was a second generation member of Bourbaki. Koszul was educated at the Lycée Fustel-de-Coulanges [fr] in Strasbourg
Jean-Louis_Koszul
Julia focussed on yearly themes and impulsed the Bourbaki movement. The Séminaire Nicolas Bourbaki is the most famous, but is atypical in a number of
French_mathematical_seminars
Russian linguist and historian
Trubetzkoy's death. In his biography of the mathematical collective Nicolas Bourbaki, Amir Aczel described Trubetzkoy as a pioneer in structuralism, an
Nikolai_Trubetzkoy
In the present form of f: X → Y. ∅ empty set sign 1939 André Weil (Nicolas Bourbaki) C {\displaystyle \mathbb {C} } Blackboard bold capital C (for complex
Table of mathematical symbols by introduction date
Table_of_mathematical_symbols_by_introduction_date
Topological space with a notion of uniform properties
uniform concepts, like completeness, were discussed using metric spaces. Nicolas Bourbaki provided the definition of uniform structure in terms of entourages
Uniform_space
British mathematicians' collective pseudonym
mathematical personage) on the day of his wedding to Betti Bourbaki (daughter of Nicolas Bourbaki, yet another fictitious mathematical personage). Descartes
Blanche_Descartes
French mathematician (1935–2006)
a professor at the Paris-Sud 11 University, Orsay. He was a member of Bourbaki and an invited speaker at the International Congress of Mathematicians
Adrien_Douady
Number property of being positive or negative
be both positive and negative following the convention set forth by Nicolas Bourbaki. In some contexts, such as floating-point representations of real numbers
Sign_(mathematics)
French mathematician (1915–2002)
distribution Schwartz kernel theorem Schwartz space Schwartz–Bruhat function Nicolas Bourbaki "Laurent Schwartz (1915–2002)" (PDF). Notices of the American Mathematical
Laurent_Schwartz
Algebra with a graded anticommutativity property on multiplication
Exterior algebra Graded-symmetric algebra Supercommutative algebra Nicolas Bourbaki (1998). Algebra I. Springer Science+Business Media. p. 482. v t e
Alternating_algebra
Fundamental trigonometric functions
ISBN 978-1-4020-0260-1. "trigonometry". Encyclopedia Britannica. 17 June 2024. Nicolas Bourbaki (1994). Elements of the History of Mathematics. Springer. ISBN 9783540647676
Sine_and_cosine
French mathematician (1921–2016)
He was an active member of the Bourbaki group in the early 1950s, and subsequently gave a number of significant Bourbaki seminars. He also took part in
Roger_Godement
Number, approximately 3.14
ISBN 978-0-9502734-2-6. MR 0217026. Bourbaki, Nicolas (1981). Topologie generale. Springer. §VIII.2. Bourbaki, Nicolas (1979). Fonctions d'une variable réelle
Pi
Swiss mathematician (1923–2003)
Armand Borel (21 May 1923 – 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced
Armand_Borel
French mathematician (born 1947)
study of noncommutative differential geometry. He was a member of Nicolas Bourbaki. Over many years, he collaborated extensively with Henri Moscovici
Alain_Connes
French mathematician (1932–2024)
1932 – 17 August 2024) was a French mathematician. An associate of the Bourbaki group and at one time a colleague of Alexander Grothendieck, his interests
Pierre Cartier (mathematician)
Pierre_Cartier_(mathematician)
Association of one output to each input
(9 November 2020). "Inside the Secret Math Society Known Simply as Nicolas Bourbaki". Quanta Magazine. Retrieved 2024-06-05. Gödel 1940, p. 16; Jech 2003
Function_(mathematics)
a graded module associated to the filtration. The concept is named after Felix Hausdorff. Linear topology Nicolas Bourbaki, Commutative algebra v t e
Hausdorff_completion
French mathematician
background for a member of Bourbaki: the École Normale Supérieure, agrégation, and then study in Germany. He left Bourbaki at an early stage: there was
René_de_Possel
Operation in calculus
Daniell for the case of real-valued functions on a set X, generalized by Nicolas Bourbaki to functions with values in a locally compact topological vector space
Integral
Fictitious name used for a particular purpose
such as Carolyn Keene, Erin Hunter, Ellery Queen, H. Bustos Domecq, Nicolas Bourbaki, or James S. A. Corey. Publius was a collective pseudonym used by James
Pseudonym
French mathematician (1904–2008)
algebraic topology and homological algebra. He was a founding member of the Bourbaki group in 1934 and one of its most active participants. After 1945 he started
Henri_Cartan
On the dimension of vector space duals
Topological Vector Spaces I. Germany: Springer Berlin Heidelberg. p. 75. Nicolas Bourbaki (1974). Hermann (ed.). Elements of mathematics: Algebra I, Chapters
Erdős–Kaplansky_theorem
Injective homomorphism
terms monomorphism and epimorphism were originally introduced by Nicolas Bourbaki; Bourbaki uses monomorphism as shorthand for an injective function. Early
Monomorphism
French mathematician
Pierre Samuel, Dixmier became a member of Bourbaki, in which he made essential contributions to the Bourbaki volume on Lie algebras. After retiring as
Jacques_Dixmier
French mathematician (born 1957)
elected member of the International Statistics Institute. He was a member of Bourbaki. His doctoral students include Antonio Auffinger, Raphaël Cerf, Ivan Corwin
Gérard_Ben_Arous
Or rowing, an argument
391–394."Decorum in Debate" Armand Borel (1998), Twenty-Five Years with Nicolas Bourbaki, 1949–1973 (PDF), American Mathematical Society RM Grant, General Electric:
Shouting_match
In mathematics, vector space of linear forms
Bourbaki, Nicolas (1989). Algebra I. Elements of Mathematics (1974 translation ed.). Berlin, Heidelberg: Springer. ISBN 978-3-540-64243-5. Bourbaki,
Dual_space
French mathematician (born 1926)
List of things named after Jean-Pierre Serre Multiplicity (mathematics) Bourbaki group — Serre joined it in the late 1940s Groupes Algébriques et Corps
Jean-Pierre_Serre
French mathematician (1903–1968)
functions and generalised shift operators. He was one of the founders of the Bourbaki group. He was an invited speaker at the International Congress of Mathematicians
Jean_Delsarte
Ring element that can be multiplied by a nonzero element to equal 0
Concepts in Abstract Algebra, American Mathematical Soc., p. 342 Nicolas Bourbaki (1998). Algebra I. Springer Science+Business Media. p. 15. "Non zero-divisors
Zero_divisor
French mathematician
France in 1997, where he remained until his death. He was a member of Bourbaki. Yoccoz won the Salem Prize in 1988. He was an invited speaker at the International
Jean-Christophe_Yoccoz
French mathematician (1920–1993)
Enseignement Mathématique. 2 (3): 107–125. 1957. Séminaire Nicolas Bourbaki Séminaire Nicolas Bourbaki (1950–1959) "Georges Reeb (1920 - 1993)". MacTutor History
Georges_Reeb
Israeli-born American lecturer (1950–2015)
ISBN 0-7679-2033-3 The Artist and the Mathematician: The Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed, 2007. High Stakes Publishing
Amir_Aczel
Commune in Auvergne-Rhône-Alpes, France
France. The river Rhue has its source in the commune. Arthur Besse Nicolas Bourbaki Communes of the Puy-de-Dôme department "Décret 2014-210 du 21 février
Besse-et-Saint-Anastaise
Subfield of mathematics
group of prominent mathematicians collaborated under the pseudonym Nicolas Bourbaki to publish Éléments de mathématique, a series of encyclopedic mathematics
Mathematical_logic
foundations Aristotelian realist philosophy of mathematics Precursors Nicolas Bourbaki Not to be confused with abstractionist Platonism. The specifically
Structuralism (philosophy of mathematics)
Structuralism_(philosophy_of_mathematics)
French mathematician (born 1953)
Représentations du groupe de Weil d’un corps local. He was a member of Nicolas Bourbaki. Henniart was an invited speaker at the International Congress of Mathematicians
Guy_Henniart
Polish-French mathematician (1899–1983)
University of Clermont-Ferrand. In December 1934 Mandelbrojt co-founded the Nicolas Bourbaki group of mathematicians, of which he was a member until World War II
Szolem_Mandelbrojt
Mathematical work by Isaac Newton
Intelligence Springer, 2008 Retrieved 27 January 2012 ISBN 3-540-88635-4 Nicolas Bourbaki (Henri Cartan, Claude Chevalley, Jean Dieudonné, André Weil et al)
De analysi per aequationes numero terminorum infinitas
De_analysi_per_aequationes_numero_terminorum_infinitas
French mathematician (1930–1972)
theory of Sato's hyperfunctions and gave lectures on this topic in the Bourbaki Seminar during 1960–1961. According to Pierre Cartier, Martineau played
André_Martineau
Function which is integrable on its domain
linear functional on a topological vector space, developed by the Nicolas Bourbaki school. It is also the one adopted by Strichartz (2003) and by Maz'ya
Locally_integrable_function
Local theory of several complex variables
American Mathematical Society{{citation}}: CS1 maint: location (link) Nicolas Bourbaki (1972), Commutative algebra, chapter VII, §3, no. 9, Proposition 6:
Weierstrass preparation theorem
Weierstrass_preparation_theorem
1969 result in deformation theory
CT–London: Yale University Press. MR 0407012. Raynaud, Michel (1971), "Travaux récents de M. Artin", Séminaire Nicolas Bourbaki, 11 (363): 279–295, MR 3077132
Artin_approximation_theorem
Equivalence class of objects sharing local properties at a point in a topological space
(2007). An Introduction to Manifolds. New York: Springer. p. 11. Nicolas Bourbaki (1989). General Topology. Chapters 1-4 (paperback ed.). Springer-Verlag
Germ_(mathematics)
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