Jean Dieudonné
Jean Dieudonné | |
|---|---|
École Normale Supérieure | |
| Known for | Cartan–Dieudonné theorem Dieudonné complete space Dieudonné determinant Dieudonné plank Dieudonné module Dieudonné's theorem Paracompact space |
| Awards | Lester R. Ford Award (1973) Leroy P. Steele Prize (1971) Prix Francoeur (1938) Peccot Lecture (1933) |
| Scientific career | |
| Fields | Mathematics |
| Institutions |
|
| Doctoral advisor | Paul Montel |
| Doctoral students | Alexander Grothendieck Paulo Ribenboim |
Jean Alexandre Eugène Dieudonné (French: formal groups, introducing what now are called Dieudonné modules, had a major effect on those fields.
He was born and brought up in
École Normale Supérieure, where André Weil was a classmate.[1] He began working in complex analysis. In 1934 he was one of the group of normaliens convened by Weil, which would become 'Bourbaki
'.
Education and teaching
He served in the
Académie des Sciences
in 1968.
Career
Dieudonné drafted much of the Bourbaki series of texts, the many volumes of the
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.
He also wrote individual monographs on Infinitesimal Calculus, Linear Algebra and Elementary Geometry, invariant theory, commutative algebra, algebraic geometry, and formal groups.
With Laurent Schwartz he supervised the early research of Alexander Grothendieck. Later from 1959 to 1964 he was at the Institut des Hautes Études Scientifiques 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
- Sur les groupes classiques. Paris: Hermann. 1948.[2]
- Dieudonné, Jean (1955), La géométrie des groupes classiques, Ergebnisse der Mathematik und ihrer Grenzgebiete (N.F.), Heft 5, Berlin, New York:
- 9 volumes of Éléments d'analyse (1960-1982), éd. Gauthier-Villars[4]
- Foundations of Modern Analysis. Academic Press. 1960.[5]
- Algèbre linéaire et géométrie élémentaire. Hermann. 1964.; Eng. trans: Linear algebra and geometry. 1969.
- Dieudonné, Jean A. (1970). "The work of Nicolas Bourbaki". JSTOR 2317325.
- Dieudonné, Jean A.; MR 0255525)
- Dieudonne, J. (Oct 1972). "Historical development of algebraic geometry" (PDF). JSTOR 2317664.
- Introduction to the theory of formal groups. Dekker. 1973.
- Cours de géométrie algébrique I. P.U.F. 1974.;ISBN 9780534037239.
- Cours de géométrie algébrique II. P.U.F. 1974.[6]
- Dieudonné, Jean Alexandre (1982), A panorama of pure mathematics, Pure and Applied Mathematics, vol. 97, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers],
- Dieudonné, Jean (1981), Choix d'œuvres mathématiques. Tome I (in French), Paris: Hermann, MR 0611149
- Dieudonné, Jean (1981), Choix d'œuvres mathématiques. Tome II (in French), Paris: Hermann, MR 0611150
- History of functional analysis. North-Holland. 1981. ISBN 9780080871608.[8]
- 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. ISBN 9780817649074.
- Mathematics - the music of reason. Springer. 1992. ISBN 9783540533467.
References
- ^ Weil, André (1992). The apprenticeship of a mathematician. Springer.
- .
- .
- .
- .
- ^ .
- .
- .
- Dugac, Pierre (1995), Jean Dieudonné: Mathématicien complet (Plus de lumiere) (in French), Editions Jacques Gabay, ISBN 978-2-87647-156-6
- O'Connor, John J.; Robertson, Edmund F., "Jean Dieudonné", MacTutor History of Mathematics Archive, University of St Andrews
- Jean Dieudonné at the Mathematics Genealogy Project
External links
Media related to Jean Dieudonné at Wikimedia Commons
Wikiquote has quotations related to Jean Dieudonné.
- A talk on the history of Algebraic Geometry given by Jean Dieudonné at the Department of Mathematics of the University of Wisconsin-Milwaukee in 1972 has been recently restored and is available here
- Dieudonné appears in the Horizon BBC documentary A Mathematical Mystery Tour
| International | |
|---|---|
| National | |
| Academics | |
| People | |
| Other | |
