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Item Details
Title:
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CONFLICTS BETWEEN GENERALIZATION, RIGOR AND INTUITION
NUMBER CONCEPTS UNDERLYING THE DEVELOPMENT OF ANALYSIS IN 17TH-19TH CENTURY FRANCE AND GERMANY |
By: |
Gert Schubring |
Format: |
Hardback |
List price:
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£149.99 |
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ISBN 10: |
0387228365 |
ISBN 13: |
9780387228365 |
Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
Pub. date: |
1 June, 2005 |
Edition: |
2005 ed. |
Series: |
Sources and Studies in the History of Mathematics and Physical Sciences |
Pages: |
678 |
Description: |
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. |
Synopsis: |
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. |
Illustrations: |
22 black & white illustrations, biography |
Publication: |
US |
Imprint: |
Springer-Verlag New York Inc. |
Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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