| 雅各布·伯努利的《猜度术》研究 |
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| 引用本文： | 徐传胜.雅各布·伯努利的《猜度术》研究[J].数学研究及应用,2007,27(1):212-218. |
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| 作者姓名： | 徐传胜 |
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| 作者单位： | 西北大学数学与科学史研究中心,陕西,西安,710062;临沂师范学院数学系,山东,临沂,276001 |
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| 基金项目： | 国家自然科学基金;吴文俊丝绸之路天元基金 |
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| 摘 要： | 《猜度术》是概率论的第一部奠基性著作,其出版是概率论成为独立数学分支的标志．本文详细分析了雅各布·伯努利的概率新思想,尤其对伯努利数及伯努利大数定律进行了较为深刻地探讨．另外,还澄清了长期以来对《猜度术》整理出版者的—个误传．
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| 关 键 词： | 猜度术 大数定律 概率 期望 |
| 文章编号： | 1000-341X(2007)01-0212-07 |
| 收稿时间： | 2004/8/13 0:00:00 |
| 修稿时间： | 08 13 2004 12:00AM |
Study on Jacob Bernoulli's Art of Conjecturing |
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| XU Chuan-sheng.Study on Jacob Bernoulli''s Art of Conjecturing[J].Journal of Mathematical Research with Applications,2007,27(1):212-218. |
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| Authors: | XU Chuan-sheng |
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| Institution: | Centre for the History of Mathematics and Sciences, Northwest University, Shaanxi 710069, China; Department of Mathematics, Linyi Normal University, Shandong 276001, China |
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| Abstract: | Art of Conjecturing is the first foundational work on the theory of probability. Its publication symbolizes the independence of the theory of probability as a branch of mathematics. This paper analyses Jacob Bernoulli's new thoughts about probability, such as Bernoulli's law of large numbers and Bernoulli's number. Besides, we clear up the problem about the arranger and publisher of Art of Conjecturing. |
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| Keywords: | art of conjecturing law of large numbers probability expectation |
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