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方程式 根의 求値法에 對하여 : 實用解析學的 方法에 依한
尹英洙 忠州大學校 1968 한국교통대학교 논문집 Vol.2 No.-
We are usually satisfieel with the explanaton of existence of roots in an equation or with the simple analytical expression of the answer which sometimes results in limitless calculation! However when we think of another side of an equation related with the concrete, practical problems in our nature and society, we can't be satisfied wrth the simple thesretical results. In the long run, the answer which is not expresseed by the practieal and concrete figures in the practical, concrete, real problems, is sometimes meaningiess, Accordingiy to solve this problem, the method of practical analysis is to be worked ont and then the real veal value which can't be expressed is to be answered by approximation. It is what I want to discuss in this thesis. I cliel not touch the generalsoluion of an equation. In this thesis I don't want to introduce the unexploi ted field or to discuss and criticize the new theories, but to introduce the general tendency of modern mathematics, Practical analysis is sometines neglected by some mathematcians. Here I want to discuss this problem for the beginers whs are earnestly stndying it first of all prior to this problem, general consideration onpractical analysis has to be mentioned, but Iomitted it on account of space consideration. In Chapter Ⅰ, Main points of discussion and referred books were introduced In Chepter Ⅱ, The method of numerical solution, that is to soy, the method, by tables and iteration, and the methods by Newton, Horner and Graeffe were mentioned, In Chapter Ⅲ, The methods dy Segner and Lill grounded on graphical calculation and methods applying intersection chart and nomogram were introduced. In Chaptor Ⅳ, The methed using calcnlating machine was to be discussed, but I omitted it onaccornt of space consideration, I cdosed my discussion mentioning matters that demand special atlention on practical calculatcon, and modern tendency of mathematic education.
方程式의 近似解法에 對하여 : 實用解析學的 方法에 依한
尹英洙 淸州大學校 1960 論文集 Vol.3 No.1
We are usually satisfieel with the explanation of existence of roots in an equation or with the simple analytical expression of the answer which sometimes results in limitless calculation! However, when we think of another side of an equation related with the concrete, practical problems in our natnre and society, we can't be satisfied wrth the simple thesretical results. In the long run, the answer which is not expressed by the practical and concrete figures in the practical, concrete, real problems, is sometimes meaningless, Accordingly to solve this problem, the method of practical analysis is to be worked ont and then the real veal value which can't be expressed is to be answered by approximation. It is what I want to discuss in this thesis. I cliel not touch the general solntion of an equation. In this thesis I don't want to introduce the unexploi ted field or to discuss and criticize the new theories, but to introduce the general tendency of modern mathematics, Practical analysis is sometines neglected by some mathematicians. Here I want to discuss this problem for the beginers whs are earnestly stndying it first of all prior to this problem, general consideration onpractical analysis has to be mentioned, but Iomitted it on account of space consideration. In Chapter Ⅰ, Main points of discussion and referred books were introduced In Chepter Ⅱ, The method of numerical solution, that is to say, the method, by tables and iteration, and the methods by Newton, Homer and Graeffe were mentioned, In Chapter Ⅲ, The methods by Segner and Lill grounded on graphical calculation and methods applying intersection chart and nomogram were introduced. In Chaptor Ⅳ, The method using a calcnlating machine was to be discussed, but I omitted it onaccornt of space consideration. I cdosed my discussion mentioning matters that demand special atlention on practical calculatcon, and modern tendency of mathematic education.