Nicolas Bourbaki - Article Index

Encyclopedia - Nicolas Bourbaki: Encyclopedia - Nicolas Bourbaki
Nicolas Bourbaki is the collective allonym under which a group of mainly French 20th-century mathematicians wrote a series of books prese...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - Books By Bourbaki
Aiming at a completely self-contained treatment of most of modern mathematics based on set theory, the group produced the following volum...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Early Work
From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variable...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Early Work
From a very young age he was an outstanding figure in the school of Henri Cartan, working on algebraic topology, several complex variable...   » Read the article

Encyclopedia - Collaborative Writing: Encyclopedia Ii - Collaborative Writing - Practical Approach
In a true collaborative environment, each contributor has an equal ability to add, edit, and remove text. The writing process becomes a r...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Other Work
From 1959 onwards his interests turned towards number theory, in particular class field theory and the theory of complex multiplication. ...   » Read the article

Encyclopedia - Blackboard Bold: Encyclopedia - Blackboard Bold
Blackboard bold is a style of typeface often used for certain symbols in mathematics and physics texts, in which certain lines of the sym...   » Read the article

Encyclopedia - Collaborative Writing: Encyclopedia - Collaborative Writing
The terms collaborative writing and peer collaboration refer to projects where written works are created by multiple people together (col...   » Read the article

Encyclopedia - 20th Century: Encyclopedia - 20th Century
The 20th century lasted from 1901 to 2000 in the Gregorian calendar. Common usage sometimes regards it as lasting from 1900 to 1999. The ...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Foundational Work In Algebraic Geometry And The Weil Conjectures
In the 1950s and 1960s, a fruitful collaboration between Serre and the two years younger Alexander Grothendieck led to important foundati...   » Read the article

Encyclopedia - École Normale Supérieure: Encyclopedia - École Normale Supérieure
The École Normale Supérieure (also known as Normale Sup', Normale, ENS, ENS-Paris, ENS-Ulm or Ulm), written École normale supérieure ...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Other Work
From 1959 onwards his interests turned towards number theory, in particular class field theory and the theory of complex multiplication. ...   » Read the article

Encyclopedia - Jean-pierre Serre: Encyclopedia Ii - Jean-pierre Serre - Foundational Work In Algebraic Geometry And The Weil Conjectures
In the 1950s and 1960s, a fruitful collaboration between Serre and the two years younger Alexander Grothendieck led to important foundati...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia - Uniform Space
In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with addi...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia - Pseudonym
A pseudonym (Greek: false name) is a fictitious name used by an individual as an alternative to his or her legal name. A pseudonym is dis...   » Read the article

Encyclopedia - École Normale Supérieure: Encyclopedia Ii - École Normale Supérieure - Overview
Originally meant to train high school teachers through the agrégation, it is now an elite institution training researchers, university p...   » Read the article

Encyclopedia - New Math: Encyclopedia Ii - New Math - The New Mathematical Pedagogy
New Math emphasized more abstract concepts like set theory and number bases other than 10, rather than strictly being concerned with math...   » Read the article

Encyclopedia - Pen Name: Encyclopedia Ii - Pen Name - Japan
Japanese poets who write haiku often use a haiga or penname. The famous haiku poet Matsuo Basho had used fifteen different haiga before h...   » Read the article

Encyclopedia - 20th Century: Encyclopedia Ii - 20th Century - Significant People
20th century - World leaders. Africa Gnassingbe Eyadema, Togo Félix Houphouët-Boigny, Côte d'Ivoire Kenneth Kaunda, Zambia Jomo Ke...   » Read the article

Encyclopedia - New Math: Encyclopedia Ii - New Math - The New Mathematical Pedagogy
New Math emphasized mathematical structure through abstract concepts like set theory and number bases other than 10, rather than strictly...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Definition
Uniform space - Entourage definition. A uniform space (X,Φ) is a set X equipped with a nonempty family of subsets of the Cartesian pro...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Pseudonyms In Print
When used by an author, a pseudonym is also called a pen name (or in French nom de plume.) Some authors use pseudonyms for a variety of r...   » Read the article

Encyclopedia - 20th Century: Encyclopedia Ii - 20th Century - Important Developments, Events And Achievements
20th century - Science and technology. The assembly line and mass production of motor vehicles and other goods allowed manufacturers t...   » Read the article

Encyclopedia - Collaborative Writing: Encyclopedia Ii - Collaborative Writing - Examples
Collaborative writing projects include: H2G2 Everything2 OOoAuthors The International Writing Exchange The Linux documentation project I...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Nom De Guerre
Pseudonyms are adopted by resistance fighters, terrorists and guerrillas often to make enquiries more difficult, to create and maintain a...   » Read the article

Encyclopedia - New Math: Encyclopedia Ii - New Math - Popular Culture
Tom Lehrer wrote a satirical song named New Math, making fun of the more absurd aspects of the subject. Summing up his opinion of New Mat...   » Read the article

Encyclopedia - New Math: Encyclopedia Ii - New Math - Across The Developed World
In the broader context, reform of school mathematics curricula was also pursued in European countries such as the UK (particularly by the...   » Read the article

Encyclopedia - École Normale Supérieure: Encyclopedia Ii - École Normale Supérieure - Notable Alumni
(Non-exhaustive list.) Scientists Medicine and biology Louis Pasteur (1843) Nobel Prize holders Claude Cohen-Tannoudji Pierre-Gille...   » Read the article

Encyclopedia - École Normale Supérieure: Encyclopedia Ii - École Normale Supérieure - Notable Alumni
(Non-exhaustive list.) Scientists Medicine and biology Louis Pasteur (1843) Nobel Prize holders Claude Cohen-Tannoudji Pierre-Gille...   » Read the article

Encyclopedia - 20th Century: Encyclopedia Ii - 20th Century - Overview
The twentieth century saw a remarkable shift in the way that vast numbers of people lived, as a result of technological, medical, social,...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Other Pseudonyms
Others in public life have adopted pseudonyms for many reasons. In the late eighteenth to early nineteenth centuries, it was established ...   » Read the article

Encyclopedia - École Normale Supérieure: Encyclopedia Ii - École Normale Supérieure - Notable Alumni
(Non-exhaustive list.) Scientists Medicine and biology Louis Pasteur (1843) Nobel Prize holders Claude Cohen-Tannoudji Pierre-Gille...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Completeness
Analogous to the notion of complete metric space, one can also consider completeness in a uniform space. Instead of working with Cauchy s...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - The Origin Of Nom De Guerre
The assigning and adopting of noms de guerre was a long standing tradition in the French army, it certainly existed before 1651. In 1716 ...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Regnal Name
In many monarchies, the prince starting his reign chooses his official name (regnal name) to be used hence, which may differ from his (bi...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Nom De Guerre
Pseudonyms are adopted by resistance fighters, terrorists and guerrillas often to make enquiries more difficult, to seek and create an au...   » Read the article

Encyclopedia - Pseudonym: Encyclopedia Ii - Pseudonym - Pseudonyms In Entertainment
When used by an actor, performer, or model, a pseudonym is a stage name or screen name. Actors — and others in show business ...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Topology Of Uniform Spaces
Every uniform space X becomes a topological space by defining a subset O of X to be open if and only if for every x in O there exists an ...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Examples
Every metric space (M, d) can be considered as a uniform space by defining a subset V of M × M to be an entourage if and only if there e...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Uniformly Continuous Functions
Similar to continuous functions between topological spaces, which preserve topological properties, are the uniform continuous functions b...   » Read the article

Encyclopedia - 20th Century: Encyclopedia Ii - 20th Century - Important Developments Events And Achievements
20th century - Science and technology. The assembly line and mass production of motor vehicles and other goods allowed manufacturers t...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Intuition
In metric spaces, continuity and uniformity are usually defined in terms of δ’s and ε’s specifying numeric values of closeness. Int...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - Dieudonné As Speaker For Bourbaki
Public discussion of, and justification for, Bourbaki's thoughts has in general been through Jean Dieudonné, who initially was the 'scri...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - The Group
Accounts of the early days vary, but original documents have now come to light. The founding members were all connected to the Ecole Norm...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - The Bourbaki Perspective And Its Limitations
The underlying drive, in Weil and Chevalley at least, was the perceived need for French mathematics to absorb the best ideas of the Gött...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - Influence On Mathematics In General
The emphasis on rigour may be seen as a reaction to the work of Jules-Henri Poincaré, who stressed the importance of free-flowing mathem...   » Read the article

Encyclopedia - Nicolas Bourbaki: Encyclopedia Ii - Nicolas Bourbaki - The Bourbaki Perspective, And Its Limitations
The underlying drive, in Weil and Chevalley at least, was the perceived need for French mathematics to absorb the best ideas of the Gött...   » Read the article