| 中世纪数学家阿尔·胡塔里及其代数著作 |
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| 引用本文： | 依里哈木·玉素甫,纳阿尔·木拉托夫·纳尔库里,哈米旦·库尔班.中世纪数学家阿尔·胡塔里及其代数著作[J].广西民族大学学报,2004,10(4):26-31. |
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| 作者姓名： | 依里哈木·玉素甫 纳阿尔·木拉托夫·纳尔库里 哈米旦·库尔班 |
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| 作者单位： | 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046;乌兹别克斯坦民族大学,机械与数学系,乌兹别克斯坦,塔什干;新疆师范大学,数理信息学院数学系,新疆,乌鲁木齐,830054 |
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| 基金项目： | 吴文俊数学与天文丝路基金资助项目(WSF 2003) |
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| 摘 要： | 主要研究中世纪著名数学家伊本·土热克·阿尔·胡塔里和他的有关一元二次方程的学术著作,他与同时代的花拉子米一样,研究了一元二次方程的一般解法,并给出了二次方程的求根公式.不同的是他运用判别式来讨论一元二次方程解的情况,指出当判别式小于零时一元二次方程没有实根并给出了严格的几何证明.
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| 关 键 词： | 一元二次方程 求根公式 判别式 |
| 文章编号： | 1007-0311(2004)04-0026-06 |
| 修稿时间： | 2004年9月25日 |
A Famous mathematician of the Middle Ages Ibn Truk Al Hutalli and his scientific works on quadratic equations |
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| IIHAM Yusup,NAAR MURATOF Narkul,HAMIDA Kurban.A Famous mathematician of the Middle Ages Ibn Truk Al Hutalli and his scientific works on quadratic equations[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2004,10(4):26-31. |
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| Authors: | IIHAM Yusup NAAR MURATOF Narkul HAMIDA Kurban |
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| Institution: | IIHAM Yusup~1,NAAR MURATOF Narkul~2,HAMIDA Kurban~3 |
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| Abstract: | In this paper, we mainly studied the life of a famous mathematician Ibn Truk Al Hutalli in the Middle-Ages and his scientific works on quadratic equations. Like al Khowarizmi in the same time, he also studied general solutions, and obtained the formula for roots of quadratic equations. The differeace was that he used the discriminant to discuss the solutions of quadratic equations. Moreover, he presented a strict geometric proof of the fact that the quadratic equations have no real roots when the discriminant less than zero. |
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| Keywords: | Quadratic equations formula for roots discriminant |
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