Iterace reálných funkcí a školská matematika

Title in English The Iteration of Real Functions and Teaching of Mathematics
Authors

BERÁNEK Jaroslav

Year of publication 2006
Type Article in Proceedings
Conference Sborník příspěvků z žilinské didaktické konference s mezinárodní účastí
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords Iteration of the function; vertex graph; functional equation; iterative roots.
Description The article contains a brief review of possibilities how to exploit the discrete iterative theory of functions in mathematical education. These problems are suitable for individual creative work of students and their preparation for different mathematical competitions. After a short preview there follows the solution of two simple functional equations. Then there is solved the problem if there exist iterative roots on mappings of the finite sets in itself. The end of the article is devoted to the problem of the conjugation of real functions.

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