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

By Gert Schubring

Book Overview

This volume is, as may be readily apparent, the fruit of many years' labor in archives and libraries, unearthing rare books, researching Nachl sse, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Gra mann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the cole polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811--precipitating the change back to the synthetic method and replacing the limit method by the method of the quantit s infiniment petites--significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

• Format: Paperback
• Language: English
• ISBN: 1441919872
• ISBN13: 9781441919878
• Release Date: December 2010
• Publisher: Springer
• Length: 678 Pages
• Weight: 2.11 lbs.
• Dimensions: 1.4" x 6.1" x 9.2"