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不定方程领域中的基本问题是:不定方程有无整数解,有多少整数解,如何求出整数解。围绕这些基本问题,至今存在着大量的未解决的问题。因此,不定方程仍是一个很活跃的数学领域。中小学数学竞赛也常常因为某些不定方程的解法巧妙而引进不定方程的问题。
本文主要是从基本的问题出发,讨论二元一次不定方程有无整数解、有多少整数解、如何求出整数解。而求整数解的方法是一些初等的方法,体现出用初等数学的思想解决高等数学中的问题。
电脑翻译的也行,只要是英语的。

Indefinite equation in the field of basic question is: whether integer solution indefinite equation, the number of integer solution, how obtained integer solution. On these fundamental issues, since there are a large number of outstanding issues. Therefore, the volatile equation is still a very active areas of mathematics. Primary and secondary school mathematics competition and are often volatile because of some ingenious solution of the equation and the introduction of indefinite equation problem.
This article is from the fundamental issue of starting to discuss the volatile equation of whether a dual integer solutions, the number of integer solution, how obtained integer solution. And integral solutions for some of the methods is the primary method used to reflect the thinking of elementary mathematics to solve problems in higher mathematics.

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第1个回答  2008-04-23
can't,points
第2个回答  2008-05-04
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