Conflicts between Generalization, Rigor, and Intuition : Number Concepts Underlying the Development of Analysis in 17 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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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2005. |
| Серии: | Sources and Studies in the History of Mathematics and Physical Sciences
|
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conflicts between generalization, rigor, and intuition, number concepts underlying the development of analysis in 17th-19th century France and Germany, Gert Schubring, 2005, New York, Springer, 1 vol. (XIV- 678 p.), Sources and studies in the history of mathematics and physical sciences, 0-387-22836-5 • Conflicts Between Generalization, Rigor, and Intuition, Texte imprimé, 9780387501956 • Conflicts between generalization, rigor, and intuition, number concepts underlying the development of analysis in 17th-19th century France and Germany, Gert Schubring, 2005, New York, Springer, 1 vol. (XIV- 678 p.), Sources and studies in the history of mathematics and physical sciences, 0-387-22836-5 |
Оглавление:
- 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