Licenciatura em Matemática (Sede)
URI permanente desta comunidadehttps://arandu.ufrpe.br/handle/123456789/24
Siglas das Coleções:
APP - Artigo Publicado em Periódico
TAE - Trabalho Apresentado em Evento
TCC - Trabalho de Conclusão de Curso
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Resultados da Pesquisa
Item Equações polinomiais do I ao IV grau: uma breve história do seu desenvolvimento(2024-10-02) Santos Neto, José Pio dos; Souza, Cícero Monteiro de; http://lattes.cnpq.br/7540654793551489; http://lattes.cnpq.br/5113765752328533The present work aims to present a History of Algebra, with an emphasis on the evolution of concepts and the formalization of polynomial equations from the first to the fourth degree, as well as to analyze the solution methods developed over time. Initially, the algebraic contributions of primitive civilizations are presented chronologically, covering the crucial moment of the systematization of mathematics by the Greeks until the fall of the Roman Empire. Then, with the arrival of the Middle Ages, the Arab invasions, the establishment of the House of Wisdom, and the translation centers, mathematics became accessible to all peoples, and consequently, algebra began to gain significant importance in problem-solving, especially in commercial transactions. By the end of the Middle Ages, first- and second-degree algebraic equations could already be solved, although negative roots were still not considered. Finally, in the 16th century, the concept of imaginary roots and the solution of third- and fourth-degree equations were developed. However, it was only with the French mathematician François Viète (1540 – 1603) that algebra began to evolve into modern algebra, with the creation of a literal notation for the representation of numbers, whether known or unknown, through letters.Item Cálculo de área dos triângulos e quadriláteros: um estudo sobre as fórmulas de Heron e Brahmagupta(2023-12-18) Santos, Ricardo Araújo dos; Souza, Cícero Monteiro de; http://lattes.cnpq.br/7540654793551489; http://lattes.cnpq.br/7957290918342325The present work aims to make a historical analysis of the calculation of areas of triangles and quadrilaterals. Initially, a brief history of mathematics was necessary, more specifically of Geometry in ancient civilizations such as: Mesopotamia, Egypt, India and Greece from Thales of Miletus (c. 624 – 546 B.C.) and Pythagoras (c. 585 – 500 B.C.). In Greece, the areas of plane figures were systematized and recorded in the 13 books of Euclid's Elements. In the 1st century, the mathematician Heron of Alexandria (c.10 – 70 A.D.) came up with a formula to calculate the area of any triangle, requiring only knowledge of its perimeter. In the 7th century, using as a basis the knowledge left by Heron, Brahmagupta (598 – 668) created a formula to determine the area of any quadrilateral when its sides were known. Later, with the advancement of trigonometry, it was found that Brahmagupta's formula was valid only for cyclic or inscribable quadrilaterals.Item Mulheres na Matemática: contribuições, conquistas e desafios ao longo da história(2023-05-05) Santos, Hellen Priscila de Souza; Araújo, Yane Lísley Ramos; Kulesza, Maité; http://lattes.cnpq.br/4001440813037430; http://lattes.cnpq.br/6642941380570085; http://lattes.cnpq.br/0109502986579094In this research, motivated by the analysis of gender inequality, we conducted a bibliographical study to understand the historical and social context of education for women and men. We provided subsidies so that the community could understand the gender inequality still present in mathematics and its consequences. We portrayed female personalities who were pioneers in the field and overcame obstacles, paving the way for others. We presented important awards received by female mathematicians, highlighting the little recognition they received when compared to that received by men. We demonstrated achievements that were made through collective mobilization and struggle and observed that we still have many challenges to face and overcome. With this research, the objective provoking a reflection on the need for recognition and appreciation of women mathematicians, as well as offer examples of initiatives aimed at overcoming the difficulties they face within a predominantly male universe.