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A History of the Central Limit Theorem : From Classical to Modern Probability Theory. 2011 ed..
・ISBN 978-1-4614-2701-8 paper EUR 169.99
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| 著者・編者 | Fischer, Hans, |
|---|---|
| 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 | 2012 |
| ページ数 | 402 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-18674＞ |
解説
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications.
Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.