The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae
Editor
- Catherine Goldstein(Institut de mathématiques de Jussieu, Histoire des sciences mathématiques)Norbert Schappacher(UFR de mathématique et d’informatique / IRMA)Joachim Schwermer(Universität Wien, Fakultät für Mathematik)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), 2007. "The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae," Springer Books, Springer, number 978-3-540-34720-0, March.
Handle: RePEc:spr:sprbok:978-3-540-34720-0
DOI: 10.1007/978-3-540-34720-0
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Book Chapters
The following chapters of this book are listed in IDEAS- Catherine Goldstein & Norbert Schappacher, 2007. "A Book in Search of a Discipline (1801–1860)," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 2-65, Springer.
- Catherine Goldstein & Norbert Schappacher, 2007. "Several Disciplines and a Book (1860–1901)," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 66-103, Springer.
- Olaf Neumann, 2007. "The Disquisitiones Arithmeticae and the Theory of Equations," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 107-127, Springer.
- Harold M. Edwards, 2007. "Composition of Binary Quadratic Forms and the Foundations of Mathematics," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 129-144, Springer.
- Della D. Fenster & Joachim Schwermer, 2007. "Composition of Quadratic Forms: An Algebraic Perspective," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 145-158, Springer.
- Günther Frei, 2007. "The Unpublished Section Eight: On the Way to Function Fields over a Finite Field," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 159-198, Springer.
- Herbert Pieper, 2007. "A Network of Scientific Philanthropy: Humboldt’s Relations with Number Theorists," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 201-233, Springer.
- José Ferreirós, 2007. "‘O Θɛòζ’ Aριθμηίíξɛι: The Rise of Pure Mathematics as Arithmetic with Gauss," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 234-268, Springer.
- Reinhard Bölling, 2007. "From Reciprocity Laws to Ideal Numbers: An (Un)Known Manuscript by E.E. Kummer," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 270-290, Springer.
- Christian Houzel, 2007. "Elliptic Functions and Arithmetic," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 291-312, Springer.
- Jacqueline Boniface, 2007. "The Concept of Number from Gauss to Kronecker," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 314-342, Springer.
- Birgit Petri & Norbert Schappacher, 2007. "On Arithmetization," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 343-374, Springer.
- Catherine Goldstein, 2007. "The Hermitian Form of Reading the Disquisitiones," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 376-410, Springer.
- Anne-Marie Décaillot, 2007. "Number Theory at the Association française pour l’avancement des sciences," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 411-427, Springer.
- Aldo Brigaglia, 2007. "An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 431-452, Springer.
- Paola Piazza, 2007. "Zolotarev’s Theory of Algebraic Numbers," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 453-462, Springer.
- Della Fenster, 2007. "Gauss Goes West: The Reception of the Disquisitiones Arithmeticae in the USA," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 463-479, Springer.
- Joachim Schwermer, 2007. "Reduction Theory of Quadratic Forms: Towards Räumliche Anschauung in Minkowski’s Early Work," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 483-504, Springer.
- Samuel James Patterson, 2007. "Gauss Sums," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 505-528, Springer.
- Franz Lemmermeyer, 2007. "The Development of the Principal Genus Theorem," Springer Books, in: Catherine Goldstein & Norbert Schappacher & Joachim Schwermer (ed.), The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, chapter 0, pages 529-561, Springer.
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