Refletindo sobre os números complexos - da sua história às suas aplicações

• Autor(a) principal: Assis, César Lopes de
• Data de Publicação: 2019
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• dARK ID: ark:/38995/001300000cj13
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/9550
• topic: Números complexos; Trigonometria; Complex numbers; Trigonometry; CIENCIAS EXATAS E DA TERRA::MATEMATICA

The present work aims is to increase the knowledge of teachers and students on the complex numbers, highlighting their importance in the study of geometry, trigonometry and providing a perspective on their construction and concepts. Initially, we present the reasons for choosing the main theme of the work, complex numbers. The, the reader will find data obtained with a reserch with secondary and higher education teachers, on the importance of studying complex numbers. Subsequently, historical facts that were relevant in the process of evolution of complex numbers. The paper also presents the theories of Gauss and Argand, and addresses the idea of complex numers and their representation on the Cartesian plane. In the end, relevant aspects of the correspondence are between complex numebers, trigonometry, and analytic geometry. The work is intended to lead the reader to reflect on the methodologies for teaching content and the impacts of these methods on student learning.