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十九世纪自守函数理论的发展演化 被引量:1

The Development of Automorphic Function Theory in the 19th Century
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摘要 自守函数理论是多个数学分支交叉的产物,体现了数学的统一性.通过几位关键人物的工作,从分析学和微分方程两个重要数学分支阐述了自守函数理论的渊源和创立过程,以及自守函数理论的系统化. The theory of automorphic function is an intersection of many subjects,which manifests the unity of mathematics. This thesis analyzes the origin of automorphic function theory and the process of its systematization from two subjects analysis and differential equation, by analyzing the work of some main figures of the field.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2009年第5期572-577,581,共7页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671053)
关键词 自守函数 椭圆函数 微分方程 线性变换群 automorphic function elliptic function differential equation linear transformation group
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  • 1莫里斯·克莱因.古今数学思想:第3卷[M].上海:上海科学技术出版社,2002.
  • 2Hadamard J. The early scientific work of Henri Poincare.-Vol. IV [M]. The Rice Institute Pamphlet,1922:120.
  • 3彭加勒 李醒民译.科学的价值[M].北京:光明日报出版社,1988..
  • 4Krzysztof Maurin. The Riemann Legacy:Riemannian Ideas in Mathematics and Physics [M]. Kluwer Academic Publishers, 1997 : preface.
  • 5盛立人,肖箭.现代微分方程理论[M].上海:上海大学出版社,2002:111-118.
  • 6Jeremy J Gray, Scott A Walter. Introduction to Poincare's Three Supplements [M]. Berlin.. Akademie Verlag, 1997: 1-25.
  • 7Gray J J. Poincare and Klein-Groups and Geometries,I.ectures in Physics 1830 1930:A Century of Geometry [M]. Paris,1989:40.
  • 8Marrin Jay Greenberg. Euclidean and Non-Euclidean Geometries, Development and History [M]. W H FREEMAN AND COMPANY, 1980 : 190.
  • 9Bell E T. Men of Mathematics [M]. Simon & Schuster Adult Publishing Group,1986:598.
  • 10Gillespie,Charles Coulston Gillespie. Dictionary of Scientific Biography [M]. Charles Scribner's Sons, 1981:398-399.

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