2016-08-172016-05-11RODRIGUES, Henrique Carvalho. Uma introdução a análise real: funções contínuas não diferenciáveis e fractais. 2016. 79 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/5951This work has as main objective the study of non-differentiable functions at all points of your domain and its relation to the construction of fractals. We have introduced important definitions and theorems of analysis for the study of non-differentiable func-tions. The subjects studied include sequences, convergence, balls, continuity and series of functions. We built examples of continuous functions without derivatives and the relationship of this process with the construction of some fractals.application/pdfAcesso AbertoConceitos topológicosContinuidadeFunções não-deriváveisFractaisSéries de funçõesTopological conceptsContinuityFunctions non-derivableFractalsFunction seriesMATEMATICA::MATEMATICA APLICADADissertação