Conceitos e técnicas da mecânica estatística e termodinâmica aplicados ao estudo dos grafos aleatórios

This dissertation briefly presents the random graphs and the main quantities calculated from them. At the same time, basic thermodynamics quantities such as energy and temperature are associated with some of their characteristics. Approaches commonly used in Statistical Mechanics are employed and rules that describe a time evolution for the graphs are proposed in order to study their ergodicity and a possible thermal equilibrium between them

Método e sociologia em Weber: alguns conceitos fundamentais

Os parâmetros de análise social fornecidos pelos fundamentos da obra weberiana apontam algumas determinações necessárias à análise de fenômenos sociais. Defendendo uma sociologia capaz de compreender os sentidos e conexões presentes nas ações sociais, Weber propõe uma concepção específica de método e de objeto na sociologia, que se assenta na explicação de ações sociais individuais, sob condições determinadas, e busca, ao mesmo tempo, explicitar as significações das instituições sociais, nas quais os indivíduos agem, como resultantes também da ação humana. A partir de tais idéias, o breve ensaio ora apresentado, propõe-se a debater alguns elementos trabalhados nos conceitos weberianos de método e sociologia

Usando a história da resolução de alguns problemas para introduzir conceitos: sistemas lineares, determinantes e matrizes.

In this work we studied the method to solving linear equations system, presented in the book titled "The nine chapters on the mathematical art", which was written in the first century of this era. This work has the intent of showing how the mathematics history can be used to motivate the introduction of some topics in high school. Through observations of patterns which repeats itself in the presented method, we were able to introduce, in a very natural way, the concept of linear equations, linear equations system, solution of linear equations, determinants and matrices, besides the Laplacian development for determinants calculations of square matrices of order bigger than 3, then considering some of their general applications

Uma ferramenta didática para ajudar na fixação dos conceitos introdutórios de análise combinatória

Humans, as well as some animals are born gifted with the ability to perceive quantities. The needs that came from the evolution of societies and technological resources make the the optimization of such counting methods necessary. Although necessary and useful, there are a lot of diculties in the teaching of such methods.In order to broaden the range of available tools to teach Combinatorial Analysis, a owchart is presented in this work with the goal of helping the students to x the initial concepts of such subject via pratical exercises