Conflicts between generalization, rigor, and intuition : number concepts underlying the development of analysis in 17th-19th century France and Germany / Gert Schubring.
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Published: |
New York :
Springer,
c2005.
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Main Author: | |
Series: | Sources and studies in the history of mathematics and physical sciences
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Subjects: | |
Format: | Book |
Table of Contents:
- I. Question and method
- II. Paths toward algebraization - development to the eighteenth century, the number field
- III. Paths toward algebraization - the field of limits : the development of infinitely small quantities
- IV. Culmination of algebraization and Retour du Refoule
- V. Le Retour du Refoule : from the perspective of mathematical concepts
- VI. Cauchy's compromise concept
- VII. Development of pure mathematics in Prussia/Germany
- VIII. Conflicts between confinement to geometry and algebraization in France.