ANOTHER LOOK AT THE REPRESENTATION OF FOURIER SERIES FUNCTIONS

Investigation article

Abstract

Learning mathematics requires reasoning, development of logical, algorithmic and ordered thinking. Some scholars of these hard sciences identify it as the science that needs patterns. When working with sequences and series, patterns are recognized, that is why it is so important to do it from a constructivist position, involving the learner in the construction and reconstruction of their own learning, providing the importance that the connections between acquired knowledge and new knowledge require for learning, demonstrating the practical utility and social significance of the content. In the study of series, in practice there are problems whose models are functions that are not continuous or are of a nature that do not allow the use of power series. That is why this research focuses on studying another type of series that allows representing a broader class of functions: the Fourier series, from the application of methods such as induction-deduction and analysis-synthesis, the main definitions, theorems and their proofs from a different perspective than the traditional ones, methods that caused a significantly higher assimilation to previous stages.

Keywords: convergent, derived, function, graphic.