Hyperbolic sine and cosine from the iteration theory point of view
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Proceedings |
| Conference | Mathematics, Information Technologies and Applied Sciences 2016, post-conference proceedings of extended versions of selected papers |
| MU Faculty or unit | |
| Citation | |
| Field | Pedagogy and education |
| Keywords | Hyperbolic functions; theory of iteration; iterative roots; vertex graph; mono-unary algebra |
| Description | The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. The article is devoted to an example of a discrete representation of functions from the point of view of an iteration theory. On the basis of two real functions, the hyperbolic sine and cosine are represented through their vertex graphs and the existence of iterative roots is solved. The article includes also basic information and examples of isomorphic mono-unary algebras. In the conclusion of the article there is given a discrete description of a function f(x)=coshx-1, where a formal description of its second iterative roots is demonstrated. |