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
Bartha, Paul
Bussotti, Paolo
Gray, Jeremy
Parshall, Karen V. Hunger
Journals
Archive for History of Exact Sciences
Revue d'Histoire des Mathématiques
British Journal for the Philosophy of Science
Physis: Rivista Internazionale di Storia della Scienza
Studies in History and Philosophy of Science
Historia Mathematica
Publishers
E. Rauner Verlag
American Mathematical Society
Springer
New School University
Librarie Philosophique J. Vrin
Concepts
Mathematics
Number theory; number concept
Algebra
Philosophy of mathematics
Arithmetic
Geometry
People
Gauss, Carl Friedrich
Gregory, Duncan Farquharson
Cauchy, Augustin Louis
Fermat, Pierre de
Kronecker, Leopold
Minkowski, Hermann
Time Periods
19th century
18th century
20th century, early
20th century
17th century
Ancient
Places
Italy
United States
France
Great Britain
Greece
Rome
Institutions
University of Chicago
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