Funkcionální rovnice ve školské matematice

Title in English Functional equations in mathematic education
Authors

BERÁNEK Jaroslav

Year of publication 2005
Type Article in Proceedings
Conference Sborník příspěvků ze 2. žilinské didaktické konference s mezinárodní účastí
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords Functional equation; vertex graph; iteratice cycle; conjugacy
Description The aim of the article is to show how it is possible to introduce to students the problem of functional equations and with them connected study of orbital structures of real functions. The basic example is taken from a set of examples for the maturita exam, the generalisation of which leads to studying cycles of real functions and solving the problem of their conjugacy. Some of the problems shown in the article can be solved with the help of the computer programs, which can be used as the motivation for introducing programs MAPLE, DERIVE etc.

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