数学机械化与数学道理化

张鸿庆; 梅建琴

doi:10.21656/1000-0887.370115

数学机械化与数学道理化

doi: 10.21656/1000-0887.370115

大连理工大学数学科学学院, 辽宁大连 116024

基金项目: 国家自然科学基金（11201048）；中央高校基础研究基金(DUT16LK19)

详细信息

作者简介:
张鸿庆(1936—)，男，教授，博士生导师(通讯作者. E-mail: zhanghq@dlut.edu.cn);梅建琴(1979—)，女，副教授，博士(E-mail: meijq@dlut.edu.cn).

中图分类号: O119
计量
- 文章访问数: 1542
- HTML全文浏览量: 115
- PDF下载量: 1346
- 被引次数: 0
出版历程
- 收稿日期: 2016-04-14
- 修回日期: 2016-05-27
- 刊出日期: 2016-07-15

Mathematics Mechanization and Tao of Mathematics

School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China（11201048）

摘要

摘要: 以中国传统文化为底蕴、机械化和道理化为特色的中国传统数学，曾经取得光辉的成就.将这些思想用于计算机科学、孤子理论和量子场论，不仅可以系统地产生已有结果，还可以开辟新的研究方向，取得重大突破.
- 数学机械化 /
- 数学道理化 /
- 计算机科学 /
- 孤子理论 /
- 量子场论
Abstract: The Chinese traditional mathematics, with the Chinese traditional culture as the background and characterized by mechanization and Tao (principle and law) of mathematics, once made glorious achievements. These ideas, used in the fields such as the computer science, the soliton theory and the quantum field theory, can not only yield the existent results systematically, but also open up some new research areas and breed major breakthroughs.
- mathematics mechanization /
- Tao of mathematics /
- computer science /
- soliton theory /
- quantum field theory

HTML全文

参考文献(15)

[1]	吴文俊. 吴文俊论数学机械化[M]. 济南: 山东教育出版社, 1996.(WU Wen-jun. .WU Wenjun’s Review on Mathematical Mechanization.[M]. Jinan: Shandong Education Press, 1996.(in Chinese))
[2]	张鸿庆. 为复兴中华数学开未来[C]//姜伯驹, 李绑河, 高小山, 李文林, 编. 吴文俊与中国数学. 新加坡: 八方文化创作室, 2010: 185-197.(ZHANG Hong-qing. To revive the Chinese mathematics in the future[C]//JIANG Bo-ju, LI Bang-he, GAO Xiao-shan, LI Wen-lin, ed. .WU Wenjun and Chinese Mathematics.Singapore: Global Publisher, 2010: 185-197.(in Chinese))
[3]	张鸿庆. 数学机械化中的.AC=BD.模式[J]. 系统科学与数学, 2008,28(8): 1030-1039.(ZHANG Hong-qing. The model .AC=BD. for mathematics mechanization[J]. .Journal of Systems Science and Mathematical Sciences,2008,28(8): 1030-1039.(in Chinese))
[4]	张鸿庆, 梅建琴. 非线性学习方法与非线性科学[J]. 力学与实践, 2015,37(3): 431-435.(ZHANG Hong-qing, MEI Jian-qin. Nonlinear learning method and nonlinear sciences[J]. .Mechanics in Engineering,2015,37(3): 431-435.(in Chinese))
[5]	広田良吾. 孤子理论中的直接方法[M]. 王红艳, 李春霞, 赵俊霄, 虞国富, 译. 北京: 清华大学出版社, 2008.(Hirota R. .The Direct Method in Soliton Theory.[M]. WANG Hong-yan, LI Chun-xia, ZHAO Jun-xiao, YU Guo-fu, transl. Beijing: Tsinghua University Press, 2008.(Chinese version))
[6]	Miwa T, Jimbo M, Date E. .Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras.[M]. London: Cambridge University Press, 2000.
[7]	马中骐. 物理学中的群论[M]. 北京: 科学出版社, 1998.(MA Zhong-qi. .Theory in Physics.[M]. Beijing: Science Press, 1998.(in Chinese))
[8]	唐敖庆. 理论化学中的群论方法[M]. 长春: 吉林大学出版社, 2003.(TANG Ao-qing. .Group Method in Theoretical Chemistry.[M]. Changchun: Jilin University Press, 2003.(in Chinese))
[9]	张鸿庆. 流形上的微积分[M]. 大连: 大连理工大学出版社, 2007.(ZHANG Hong-qing. .Calculus on Manifolds.[M]. Dalian: Dalian University of Technology Press, 2007.(in Chinese))
[10]	章乃森. 粒子物理学[M]. 北京: 科技出版社, 1994.(ZHANG Nai-sen. .Particle Physics.[M]. Beijing: Science and Technology Press, 1994.(in Chinese))
[11]	马天. 从数学观点看物理世界: 基本粒子与统一场理论[M]. 北京: 科学出版社, 2014.(MA Tian. .The Physical World From the Point of View of Mathematics: the Basic Particle and the Unified Field Theory.[M]. Beijing: Science Press, 2014.(in Chinese))
[12]	张鸿庆. 泛函分析[M]. 大连: 大连理工大学出版社, 2007.(ZHANG Hong-qing. .Functional Analysis.[M]. Dalian: Dalian University of Technology Press, 2007.(in Chinese))
[13]	钟万勰. 力、功、能量与辛数学[M]. 大连: 大连理工大学出版社, 2009.(ZHONG Wan-xie. .Force, Work, Energy and Symplectic Mathematics.[M]. Dalian: Dalian University of Technology Press, 2009.(in Chinese))
[14]	吴锋, 钟万勰. 浅水问题的约束Hamilton变分原理及祖冲之类保辛算法[J]. 应用数学和力学, 2016,37(1): 1-13.(WU Feng, ZHONG Wan-xie. The constrained Hamilton variational principle for shallow water problems and the Zu-type symplectic algorithm[J]. .Applied Mathematics and Mechanics,2016,37(1): 1-13.(in Chinese))
[15]	张鸿庆. 大乘数学三境界[J]. 高等数学研究, 2012,15(4): 117-120.(ZHANG Hong-qing. The three state of great mathematic[J]. .Studies in College Mathematics,2012,15(4): 117-120.(in Chinese))