Conflicts between generalization, rigor, and intuition : number concepts underlying the development of analysis in 17th-19th century France and Germany / Gert Schubring
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
Summary
Deals with the development of the terms of analysis in the 18th and 19th centuries, the two main concepts being negative numbers and infinitesimals. Looking at German and French textbooks, this work reveals the history and throws light on major figures, such as Cauchy
Bibliography
Includes bibliographical references (pages 631-670) and index
