Article ID: CBB947622345

«Découvrir des principes en classant» : la classification des formes quadratiques selon Charles Hermite (2016)

unapi

During the nineteenth century, the classification of algebraic forms plays a key role in the fields of algebra and number theory in particular. It often borrows its vocabulary (class, genus, types) from the natural sciences. Focussing on Carl Friedrich Gauss’s Disquisitiones arithmeticae and on the work of Charles Hermite, this article analyses two distinct classificatory practices. It shows how each of them transfers the characters of natural objets to forms and other associated mathematical concepts and how it deals with innovation, in particular the creation of new mathematical objects.

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Authors & Contributors
Boucard, Jenny
Bullynck, Maarten
Bussotti, Paolo
Dawson, John W., Jr.
Dedekind, Richard
Feferman, Solomon
Journals
Archive for History of Exact Sciences
Revue d'Histoire des Mathématiques
Bollettino di Storia delle Scienze Matematiche
Historia Mathematica
Intellectual History Review
Isis: International Review Devoted to the History of Science and Its Cultural Influences
Publishers
American Mathematical Society
E. Rauner Verlag
Oxford University Press
Springer
New School University
Librarie Philosophique J. Vrin
Concepts
Mathematics
Number theory; number concept
Algebra
Philosophy of mathematics
Arithmetic
Geometry
People
Gauss, Carl Friedrich
Cauchy, Augustin Louis
Gregory, Duncan Farquharson
Albert, Adrian
Babbage, Charles
Dedekind, Richard
Time Periods
19th century
18th century
20th century
20th century, early
17th century
Ancient
Places
Italy
Great Britain
Rome (Italy)
France
Greece
United States
Institutions
University of Chicago
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