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ТОР 5 статей:

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КАТЕГОРИИ:






Task 2. Reconstruct the rendered article, according to the plan for rendering.




A -. The author maintains that the computation is emerging as a major new approach to the sci­ence, supplementing the long-standing methodologies of theory and experiment. According to the text the computer program is a medium in which the algorithms can be expressed and applied. Any physical objects and mathematical structures can be represented as numbers and symbols in a computer, and a program can be written to manipulate them according to the algorithms. Further the text maintains that the objects in a computer experiment are not bound by the laws of nature, they follow the laws embodied in the computer program.
B -. I find this article interesting and of great impotence, because the idea of using computers in mathematics becomes more popular and obvious. Moreover, on reading this article I realize the fact that my personal computer can be a new means of describing and investigating scientific and mathematical systems. C -. The main idea of the article is the following one: the study of many complex systems is consequently being made possible through computer experiments and computer models.  
D -. The headline of the article I have read is “Computer Software in Science and Mathematics”. Stephen Wolfram, the author of the article, discusses an important problem of computer programs and algorithms.

 

Task 3. Read, analyze the given article which is taken from Mathematical Reviews, June 1983 (Babbah, R.P. “Mathematics and Society”). Add some missing components of the rendered article.

 

The author points out some discrete and indirect contributions of maths to the benefit and welfare of society. Firstly, he mentions some of the great achievements of maths during the last two decades, arguing that whenever difficult and important problems are solved, "the whole human race shares in the glory". As for the "indirect contributions, the relations between maths, physics and chemistry are considered. The study of functions of several vari­ables is assumed to be one of the most favoured research areas with respect to these relations. Symmetry and qualitative analysis, leading to group theory, and, respectively, to topology are general principles used in handling the cor­responding problems. More "direct" contributions of maths to society can be seen in the applications in economics, planning, industry, management and the author gives some examples, e.g., linear programming and input-output analysis. He mentions some special relations of maths to other areas, such as maths and biology, maths and communications, etc. Finally the author con­fesses his belief in the benefit of math education for gifted young people.

The book shows the author's view of the beauty and usefulness of maths. It should be useful supplementary reading for students who seek an intro­ductory overview to maths, its utility and beauty. The book encourages the maths students to be involved more deeply into the history of current maths.

 






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