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Cauchy's Cours d'analyse : An Annotated Translation. 2009 ed..
・ISBN 978-1-4419-0548-2 hard EUR 179.99
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| 著者・編者 | Bradley, Robert E. / Sandifer, C. Edward, |
|---|---|
| シリーズ | Sources and Studies in the History of Mathematics and Physical Sciences |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2009 |
| ページ数 | 412 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-18654＞ |
解説
In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d'analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d'analyse.
For this translation, the authors have also added commentary, notes, references, and an index.