期刊文献+

数学技术与概率论的发展 被引量:5

Mathematical Techniques and The Development of Probability Theory
在线阅读 下载PDF
导出
摘要 概率论是研究随机现象规律的数学理论,现已有300余年的历史。从数学技术视角,把概率论的发展历史划分为三个阶段,并分析各个时期的特征,认为数学技术是概率论发展的保证,数学技术的发展是推动概率论理论发展的主要因素之一;探究数学技术和概率论间的辩证关系有助于理解和认识概率论的本质。 The probability theory is a mathematical discipline studying the regularities of random or stochastic events,whose history is over three hundreds years. This paper divides the history of probability theory into three stages as viewed from mathematical tools, and try to analysis its characters in each stage. It points out that the development of mathematical techniques is one of main factors promoting the evolution of probability. The paper attempts to explore the dialectic relationship between probability and mathematical technique.
作者 杨静 徐传胜
出处 《太原理工大学学报(社会科学版)》 2008年第1期49-54,共6页 Journal of Taiyuan University of Technology(Social Science Edition)
基金 国家自然科学基金(10671053)
关键词 数学技术 古典概率论 分析概率论 测度概率论 mathematical techniques the classical probability the analytical probability the measurable probability
  • 相关文献

参考文献9

  • 1[1]L E.Maistrov.Probability theory:a historical sketch[M].New York:Academic Press,1974.
  • 2斯科特.数学史[M].桂林:广西师范大学出版社,2002..
  • 3[4]E Seneta,K H.Parshall and F.Jongmans.Nineteenth-century developments in geometric probability:J.J.Sylvester,M.W.Crofton,J-E Barbier and J.Bertrand[J].Archives for history of exact science,2001,6(55):501-524.
  • 4[5]A N.Kolmogorov,A.P.Yushkevich.Mathematics of the 19th Century:Mathematical Logic Algebra Number Theory Probability Theory[M].Basel:Birkhuser Verlag,1992.231-232.
  • 5[6]Hans Fischer.Dirichlet's contributions to mathematical probability theory[J].Historia Mathematica,1994,1(21):39-63.
  • 6[7]O.B.Sheynin.On V.Ya.Buniakovsky's work in the theory of probability[J].Archives for history of the exact science,1991,3(43):199-223.
  • 7[8]O.B.Sheynin.Chebyshev's lectures on the theory of probability[J].Archives for history of the exact science,1994,46(4):321-340.
  • 8[9]O.B.Sheynin.A.A.Markov's work on probability[J].Archives for history of the exact science,1989,39(4):337-377.
  • 9[10]Ronald Calinger.Classics of Mathematics[M].New Jersey:Prentice-Hall,Inc,1995.708.

共引文献3

同被引文献26

引证文献5

二级引证文献18

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部