Article ID: CBB977640957

Une controverse entre Émile Picard et Leopold Kronecker (2020)


Leopold Kronecker constructs in two articles published in 1869 and 1878, a theory which has its roots in Sturm’s work on the determination of the number of real solutions of an equation. The presentation of this theory of characteristics by Émile Picard will give rise to a controversy between the two mathematicians, who claimed the fame for a formula giving the number of solutions of certain systems of several equations. In this article, after an overview of the theory of characteristics, we will show how, through this dispute, it is actually the way these two mathematicians approach mathematics that is at stake.

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Authors & Contributors
Gispert, Hélène
Boniface, Jacqueline
Brechenmacher, Frédéric
Bkouche, Rudolf
Gilain, Christian
Houzel, Christian
Revue d'Histoire des Mathématiques
Archive for History of Exact Sciences
Historia Mathematica
Physics in Perspective
Rutherford Journal: The New Zealand Journal for the History and Philosophy of Science and Technology
Foundations of Chemistry
Société Française d'Histoire des Sciences et des Techniques, Société Mathématique de France
Kluwer Academic
American Mathematical Society
Controversies and disputes
Philosophy of mathematics
Kronecker, Leopold
Hilbert, David
Poincaré, Jules Henri
Babbage, Charles
Dedekind, Richard
Jordan, Camille
19th century
20th century, early
18th century
20th century
Société Mathématique de France
University of Chicago
Académie Royale des Sciences (France)

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