Jacob Bernoulli and the Origins of Mathematical Probability Theory

雅各布·伯努利和数学概率论的起源

• 批准号: 8911131
• 负责人: Edith Sylla
• 金额: $ 2.97万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8911131&HistoricalAwards=false
• 关键词: Jacob; Bernoulli; Origins; Mathematical; Probability

In his Art of Conjecturing, Jacob Bernoulli applied the theory of combinations and permutations and the theory of expectations in games of chance by analogy to political, moral and economic subjects in an attempt to rationalize decision making in those fields. In this way, he helped to create the modern mathematical theory of probability, tying together frequencies of physical events and the evaluation of evidence to provide rational methods of predicting future events or of acting wisely in conditions of uncertainty. Most histories of probability have been written by people with mathematical interests and have emphasized proofs of important mathematical theorems. In studying the early history of probability theory, Professor Sylla aims to redress the balance by paying attention not only to mathematical detail, but also to the social or real world problems that early probabilists such as Bernoulli were hoping to address. A product of this research will be an English translation of Bernoulli's Art of Conjecturing, on e of the classic works of early probability theory. Accompanying that translation will be an introduction, annotations, and mathematical commentary which put the work in its broadest social and scientific perspective.

在《猜想的艺术》一书中，雅各布·伯努利（Jacob Bernoulli）运用了 组合和排列以及期望理论 通过类比政治，道德和经济的机会游戏 试图使决策合理化， 领域的 这样，他帮助创建了现代数学 概率论，将物理频率联系在一起 事件和证据的评价提供合理的方法 预测未来的事件或明智地采取行动的条件 不确定性 大多数概率史都是由 有数学兴趣的人，并强调证明 重要的数学定理 在研究早期历史时 概率论，西拉教授旨在纠正 不仅要注意数学细节， 早期的概率论家认为， 比如伯努利希望解决的问题 这一产品 研究将是伯努利的艺术的英文翻译 早期概率论经典著作之一的猜想 理论 伴随着翻译将是一个介绍， 注释和数学注释， 最广泛的社会和科学视角。