The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae : with 36 figures
In 1998, the editors convinced themselves that it was the right time to take stock of recent research concerning the modern history of number theory, and to evaluate in its light our comprehension of the development of this discipline as a whole. One issue at stake was to bring together historiograp...
Guardat en:
| Autor principal: | |
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| Altres autors: | , |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2007.
Cham : Springer Nature |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The shaping of arithmetic, after C.F. Gauss's Disquisitiones Arithmeticae, with 36 figures, Catherine Goldstein, Norbert Schappacher, Joachim Schwermer Editors, 2007, Berlin, Springer, 1 vol. (XI-578 p.), 978-3-540-20441-1 • The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, Texte imprimé, 9783540800408 • The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, Texte imprimé, 9783642058028 |
Taula de continguts:
- A Book s History
- A Book in Search of a Discipline (1801 1860)
- Several Disciplines and a Book (1860 1901)
- Algebraic Equations, Quadratic Forms, Higher Congruences: Key Mathematical Techniques of the Disquisitiones Arithmeticae
- The Disquisitiones Arithmeticae and the Theory of Equations
- Composition of Binary Quadratic Forms and the Foundations of Mathematics
- Composition of Quadratic Forms: An Algebraic Perspective
- The Unpublished Section Eight: On the Way to Function Fields over a Finite Field
- The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas
- A Network of Scientific Philanthropy: Humboldt s Relations with Number Theorists
- O ??ò? A??????í???: The Rise of Pure Mathematics as Arithmetic with Gauss
- Complex Numbers and Complex Functions in Arithmetic
- From Reciprocity Laws to Ideal Numbers: An (Un)Known Manuscript by E.E. Kummer
- Elliptic Functions and Arithmetic
- Numbers as Model Objects of Mathematics
- The Concept of Number from Gauss to Kronecker
- On Arithmetization
- Number Theory and the Disquisitiones in France after 1850
- The Hermitian Form of Reading the Disquisitiones
- Number Theory at the Association française pour l avancement des sciences
- Spotlighting Some Later Reactions
- An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae
- Zolotarev s Theory of Algebraic Numbers
- Gauss Goes West: The Reception of the Disquisitiones Arithmeticae in the USA
- Gauss s Theorems in the Long Run: Three Case Studies
- Reduction Theory of Quadratic Forms: Towards Räumliche Anschauung in Minkowski s Early Work
- Gauss Sums
- The Development of the Principal Genus Theorem.