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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2021.tde-21122021-101734
Document
Author
Full name
Darlene Dias da Silva Mendes
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2021
Supervisor
Committee
Ribeiro, Hermano de Souza (President)
Carbinatto, Maria do Carmo
Sampaio, Camila Fernanda Bassetto
Silva, Paulo Leandro Dattori da
Title in Portuguese
Triângulos aritméticos
Keywords in Portuguese
Bernoulli
Euler
Leibniz
Números binomiais
Triângulo de Pascal
Abstract in Portuguese
Esta dissertação apresenta um estudo sobre os números binomiais e os triângulos artméticos como o triângulo de Pascal, triângulo harmônico de Leibniz, triângulo euleriano e outros. É um estudo das propriedades e curiosidades desses triângulos, que geralmente não são estudados no ensino médio. Sendo assim pode ser utilizado pelos docentes para aprofundar seus conhecimentos nesse assunto, bem como incentivar os alunos à busca de conhecimentos que vão além da sala de aula.
Title in English
Arithmetic triangles
Keywords in English
Bernoulli
Binomial number
Euler
Leibniz
Pascals triangle
Abstract in English
This dissertation presents a study on binomial numbers and arithmetic triangles such as Pascals triangle, Leibnizs harmonic triangle, the Eulerian triangle and others. It is a study of the properties and curiosities of these triangles, which are not usually studied in high school. Therefore, it can be used by teachers to deepen their knowledge on this subject, as well as encourage students to seek knowledge that goes beyond the classroom.
 
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Publishing Date
2021-12-21
 
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