Systems of Equations in Ancient Problems
Journal Title: Вісник Житомирського державного університету імені Івана Франка - Year 2016, Vol 85, Issue 3
Abstract
There is a wide range of practical problems as well as theoretical problems in different fields of mathematics, which could be solved using the systems of algebraic equations. This is why a significant attention is devoted to olving such systems beginning with school mathematics. It is noteworthy that in this case pupils are already being taught to apply artificial methods, allowing reducing the system to one equation with one unknown. lgebra includes solving this task using exception theory, particularly University course in a the resultant notion. Since searching for the systems of nonlinear equations solving methods may present serious difficulties, we t would be appropriate to familiarize students and teachers with the methods of solvin consider ig of such systems, which have been suggested in famous historical problems. issues of applying the history of mathematics elements in teaching of mathematics have been researchedV. N. Molodshyi, H. I. Hleizer, A. H. Konforovych, V. H. Bevz, N. O. Virchenko etc. The principle of historicism is considered as pedagogical foundation for working out high quality theoretical knowledge and practical skills in teaching mathematics. We separate the famous historical problems, nvolve solving systems of nonlinear algebraic specifically problems which iequations. The problems are llowed by historical references which stimulate students' interest in advance questions and encourage them tolve problems by themselves. It is recommended to consider the authoring methods in modern designation, tomake conclusions on the methods of solving. As far as it is essential to develop the ability to solve systems of nonlinear algebraic equations, it would be appropriate to investigate the opportunity of using the methods, advised in famous historical problems. We ed in problems of Ancient Egypt, uch potential in problems solved by the mathematicians of "mathematics of constants" and "mathematics ofese methods with modern mathemtake advantage using the latter.
Authors and Affiliations
T. V. Didkivska, I. A. Sverchevska
Keywords
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