Conflicts Between Generalization, Rigor, and Intuition Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany /

Conflicts Between Generalization, Rigor, and Intuition undertakes a historical analysis of the development of two mathematical concepts -negative numbers and infinitely small quantities, mainly in France and Germany, but also in Britain, and the different paths taken there. This book not only discus...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schubring, Gert (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Sources and Studies in the History of Mathematics and Physical Sciences,
Temas:
Mathematics.
History.
Mathematical analysis.
History of Mathematical Sciences.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Question and Method
  • Paths Toward Algebraization - Development to the Eighteenth Century. The Number Field
  • Paths toward Algebraization - The Field of Limits: The Development of Infinitely Small Quantities
  • Culmination of Algebraization and Retour du Refoulé
  • Le Retour du Refoulé: From the Perspective of Mathematical Concepts
  • Cauchy's Compromise Concept
  • Development of Pure Mathematics in Prussia/Germany
  • Conflicts Between Confinement to Geometry and Algebraization in France
  • Summary and Outlook.

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