Produções Acadêmicas e Científicas dos Servidores da UEA
URI permanente desta comunidadehttps://ri.uea.edu.br/handle/riuea/5439
Espaço para reunir produções científicas realizadas por docentes, discentes e técnicos em outras Instituições Públicas e Privadas de Ensino Superior.
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Item Cartilha de análise: seminários de análise na reta(Universidade do Estado do Amazonas, 2020-09-20) Carvalho, Josimauro Borges de; Pereira, Jhonny Oliveira; Cunha, Francisco Érison Cardoso da; Damasceno, Elcimar Arante; Gomes, Ismael Quirino; Mangabeira, Alisson Athos Rodrigues; Pereira, Alison Thaylo dos Santos; Gomes, Rodrigo CoelhoThis is not a book, this text was written from the notes and doodles of seminars and presentations by students of the course and mathematics of UEA Tefé and Eirunepé, during the execution of the productivity project entitled "Topics of Analysis: Real numbers and topology on the line "that occurred between the months of March 2018 and February 2020 under the coordination of Professor Josimauro Borges and participation the students Jhonny Oliveira, Érison Cardoso, both academics from the mathematics by Eirunepé, by academics Alisson Athos, Alison Taylo, Rodrigo Meza, Ismael Quirino and Elcimar Arante, these are students of the Mathematics course at the Centro of Higher Studies of Tefé- CEST. The project had a total workload of 144 hours distributed over 6 hours per month. There are some questions to be clarified: i) Which sets are considered as bodies ii) Are there two ordered bodies complete, or is the set of real numbers unique with these properties? And, iii) Worth reciprocal of the Borel-Lebesgue theorem? In the part we barely spoke briefly about some important spaces in the mathematical environment. The text has an elementary character because it that, at first, the results have been written for academics beginning the mathematics, although, it also extended to those who intend to enter the courses of post-graduation, since this theme is charged in the entrance exams in such courses. The objective is to facilitate the understanding of some topics covered in the discipline of Mathematical Analysis for undergraduate and Linear Algebra. The material is available at library of Tefé and Eirunepé.Item A não enumerabilidade do conjunto R dos números reais e a desordem no conjunto C dos números complexos(Universidade do Estado do Amazonas, 2020-09-20) Carvalho, Josimauro Borges de; Pereira, Jhonny Oliveira; Gomes, Rodrigo CoelhoThe teaching of Real Analysis and Linear Algebra is of incalculable importance in the area of higher mathemats,ic given its wide use in the most diverse lines of research in graduate courses. Its approach in the area of topology, real numbers and vector spaces brings a contribution to parallel learning in the classroom. This text shows itself as an aid, research and cooperation instrument for the school community and, of course, strengthening the knowledge and learning of academics. There are some questions to be clari ed: It is possible to enumerate the set R of the real numbers? Is the C set of complex numbers ordered and complete? Are there non-iomorphic ordered bodies? Presenting some features and language, we show the answer to each of these questions. The text has an elementary character due to the fact that, at rst, the results were written for academic beginners of the mathematics course, although it also extended to mathematics lovers in general. The results presented here are the product of studies and seminars that were presented by academics from CEST-UEA and also from NESEIR-UEA. Keywords: Field, enumerability, real, complex.