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Jean Dieudonné

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Nationality
  
French

Role
  
Mathematician


Name
  
Jean Dieudonne

Doctoral advisor
  
Fields
  
Mathematics

Jean Dieudonne TOP 6 QUOTES BY JEAN DIEUDONNE AZ Quotes

Born
  
1 July 1906Lille, France (
1906-07-01
)

Institutions
  
Institut des Hautes Etudes ScientifiquesUniversity of NiceUniversity of Sao PauloUniversity of NancyUniversity of MichiganNorthwestern University

Alma mater
  
Ecole Normale Superieure

Doctoral students
  
Edmond FedidaAlexander GrothendieckKishore MarathePaulo Ribenboim

Known for
  
Cartan–Dieudonne theorem

Died
  
November 29, 1992, Paris, France

Notable awards
  
Books
  
Elements de geometri, Foundations of Modern Analysis, Treatise on Analysis, History of Functional Analysis, Mathematics‑‑ the music of reason

Similar People
  
Alexander Grothendieck, Henri Cartan, Andre Weil, Laurent Schwartz, Claude Chevalley

Education
  
Ecole Normale Superieure

Prof. Jean Dieudonné: "The Historical Development of Algebraic Geometry"


jEAN dIEUDONNE


Jean Alexandre Eugène Dieudonné ([djødɔne]; 1 July 1906 – 29 November 1992) was a French mathematician, notable for research in abstract algebra, algebraic geometry, and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the Éléments de géométrie algébrique project of Alexander Grothendieck, and as a historian of mathematics, particularly in the fields of functional analysis and algebraic topology. His work on the classical groups (the book La Géométrie des groupes classiques was published in 1955), and on formal groups, introducing what now are called Dieudonné modules, had a major effect on those fields.

Contents

Jean Dieudonné Dieudonne Portraits

He was born and brought up in Lille, with a formative stay in England where he was introduced to algebra. In 1924 he was admitted to the École Normale Supérieure, where André Weil was a classmate. He began working, conventionally enough, in complex analysis. In 1934 he was one of the group of normaliens convened by Weil, which would become 'Bourbaki'.

Jean Dieudonné Dieudonne Portraits

Education and teaching

Jean Dieudonné Jean Dieudonn Interview June 12 1987 YouTube

He served in the French Army during World War II, and then taught in Clermont-Ferrand until the liberation of France. After holding professorships at the University of São Paulo (1946–47), the University of Nancy (1948–1952) and the University of Michigan (1952–53), he joined the Department of Mathematics at Northwestern University in 1953, before returning to France as a founding member of the Institut des Hautes Études Scientifiques. He moved to the University of Nice to found the Department of Mathematics in 1964, and retired in 1970. He was elected as a member of the Académie des Sciences in 1968.

Career

Jean Dieudonné Jean Dieudonn Wikipedia

Dieudonné drafted much of the Bourbaki series of texts, the many volumes of the EGA algebraic geometry series, and nine volumes of his own Éléments d'Analyse. The first volume of the Traité is a French version of the book Foundations of Modern Analysis (1960), which had become a graduate textbook on functional analysis.

Jean Dieudonné Biographie de Jean Dieudonn

He also wrote individual monographs on Infinitesimal Calculus, Linear Algebra and Elementary Geometry, invariant theory, commutative algebra, algebraic geometry, and formal groups.

Jean Dieudonné Jean Alexandre Eugne Dieudonn

With Laurent Schwartz he supervised the early research of Alexander Grothendieck; later from 1959 to 1964 he was at IHÉS alongside Grothendieck, and collaborating on the expository work needed to support the project of refounding algebraic geometry on the new basis of schemes.

Selected works

Jean Dieudonné Dieudonn

  • Sur les groupes classiques. Paris: Hermann. 1948. 
  • Dieudonné, Jean (1955), La géométrie des groupes classiques, Ergebnisse der Mathematik und ihrer Grenzgebiete (N.F.), Heft 5, Berlin, New York: Springer-Verlag, ISBN 978-0-387-05391-2, MR 0072144 
  • 9 volumes of Éléments d'analyse (1960-1982), éd. Gauthier-Villars
  • Foundations of Modern Analysis. Academic Press. 1960. 
  • Algèbre linéaire et géométrie élémentaire. Hermann. 1964. ; Eng. trans: Linear algebra and geometry. 1969. 
  • "The work of Nicolas Bourbaki". Amer. Math. Monthly. 77: 134–145. 1970. 
  • Dieudonné, Jean A.; Carrell, James B. (1971), "Invariant theory, old and new", Advances in Mathematics, Boston, MA: Academic Press, 4: 1–80, doi:10.1016/0001-8708(70)90015-0, ISBN 978-0-12-215540-6, MR 0279102  (a reprint of Dieudonné, Jean A.; Carrell, James B. (1970), "Invariant theory, old and new", Advances in Mathematics, 4: 1–80, doi:10.1016/0001-8708(70)90015-0, ISSN 0001-8708, MR 0255525 )
  • Historical development of algebraic geometry (PDF). American Mathematical Monthly. 79. Oct 1972. pp. 827–866. doi:10.2307/2317664. 
  • Introduction to the theory of formal groups. Dekker. 1973. 
  • Cours de géométrie algébrique I. P.U.F. 1974. ; Eng. trans: History of Algebraic Geometry. Wadsworth Inc. 1985. 
  • Cours de géométrie algébrique II. P.U.F. 1974. 
  • Dieudonné, Jean Alexandre (1982), A panorama of pure mathematics, Pure and Applied Mathematics, 97, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-215560-4, MR 0478177 
  • Dieudonné, Jean (1981), Choix d'œuvres mathématiques. Tome I (in French), Paris: Hermann, ISBN 978-2-7056-5922-6, MR 611149 
  • Dieudonné, Jean (1981), Choix d'œuvres mathématiques. Tome II (in French), Paris: Hermann, ISBN 978-2-7056-5923-3, MR 611150 
  • History of functional analysis. North-Holland. 1981. 
  • Pour l'honneur de l'esprit humain: les mathématiques aujourd'hui. Hachette. 1987. 
  • A History of Algebraic and Differential Topology 1900-1960. Birkhäuser Boston. 1988. 
  • Mathematics - the music of reason. Springer. 1992. 

  • References

    Jean Dieudonné Wikipedia