The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Goldstein, Catherine (Editor ), Schappacher, Norbert (Editor ), Schwermer, Joachim (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Temas:
Number theory.
Algebra.
Mathematics.
History.
Number Theory.
History of Mathematical Sciences.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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  • The Unpublished Section Eight: On the Way to Function Fields over a Finite Field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.

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