| 李善兰考数根四法 |
| |
| 引用本文： | 张必胜. 李善兰考数根四法[J]. 高师理科学刊, 2011, 31(3): 8-12. DOI: 10.3969/j.issn.1007-9831.2011.03.003 |
| |
| 作者姓名： | 张必胜 |
| |
| 作者单位： | 西北大学,数学系,陕西,西安,710127;西北大学,数学与科学史研究中心,陕西,西安,710127 |
| |
| 基金项目： | 国家自然科学基金资助项目(10771169); 国家社会科学基金资助项目(07XXW004) |
| |
| 摘 要： | 整理与解读了李善兰(1811-1882)考数根法原始文献,可以看出,李善兰的素数判定有屡乘求一、天元求一、小数回环、准根分级4种,得到了相当于费马小定理的结论,还指出逆命题不真.将原始的古典文献表述为现代数学符号语言,并且加以分析.获得了李善兰关于素数判定的理论依据以及我国素数理论在当时的发展与传播情况.
|
| 关 键 词： | 考数根法 李善兰(1811-1882) 素数 费马小定理 |
Four kao shugen laws of LI Shan-lan |
| |
| ZHANG Bi-sheng. Four kao shugen laws of LI Shan-lan[J]. Journal of Science of Teachers＇College and University, 2011, 31(3): 8-12. DOI: 10.3969/j.issn.1007-9831.2011.03.003 |
| |
| Authors: | ZHANG Bi-sheng |
| |
| Affiliation: | ZHANG Bi-sheng1,2 |
| |
| Abstract: | Researched the original documents about the kao shugen laws of LI Shan-lan,from the original documents we can know that the matical judgement methods of prime numbers was classified as lü-cheng find one method,tian-yuan find one method,xiao-shu loopback method,quasi-root classification method,ultimately gave Fermat＇s small theorem,and also noted that the converse is not true.Analyzed the primitive classical literature,and expressed them through modern mathematical symbols and language,obtained the theoretical basis of the determination of prime numbers of LI Shan-lan,and the situation of the development and dissemination of prime number theory at the time. |
| |
| Keywords: | kao shugen law LI Shan-lan(1811-1882) prime number Fermat's small theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
