Article ID: CBB977640957

Une controverse entre Émile Picard et Leopold Kronecker (2020)

unapi

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
Brechenmacher, Frédéric
Boniface, Jacqueline
Enrico Rogora
Giovanni Capobianco
Ursula Martin
Lorenat, Jemma
Concepts
Mathematics
Controversies and disputes
Arithmetic
Geometry
Algebra
Philosophy
Time Periods
19th century
20th century, early
18th century
20th century
Places
United States
Italy
France
Europe
Institutions
Société Mathématique de France
University of Chicago
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