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Conflicts Between Generalization, Rigor, and Intuition - Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany (Hardcover, 2005 ed.)
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Conflicts Between Generalization, Rigor, and Intuition - Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany (Hardcover, 2005 ed.)
Series: Sources and Studies in the History of Mathematics and Physical Sciences
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This volume is, as may be readily apparent, the fruit of many
years' labor in archives and libraries, unearthing rare books,
researching Nachlasse, 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 Grassmann
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 Ecole 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
quantites 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."
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