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Doctoral Thesis
DOI
Document
Author
Full name
Mariana de Almeida Nery Coutinho
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2019
Supervisor
Committee
Borges Filho, Herivelto Martins (President)
Hefez, Abramo
Levcovitz, Daniel
Orihuela, Fernando Eduardo Torres
Title in English
Three topics in algebraic curves over finite fields
Keywords in English
Automorphisms
Curves over finite fields
Plane and space curves
Rational points
Zeta functions
Abstract in English
In the present work is presented a brief data collection about the history of prime numbers and how this subject is shown in the new scenario brought by BNCC (Common Curricular National Base) . It was proved the Fundamental Arithmetic Theorem and it was presented two important ways to calculate that are the Congruence and the Fermet Theorem. It is given a teaching method and a differentiated material to be used in class.
Title in Portuguese
Três tópicos em curvas algébricas sobre corpos finitos
Keywords in Portuguese
Automorfismos
Curvas planas e espaciais
Curvas sobre corpos finitos
Funções zeta
Pontos racionais
Abstract in Portuguese
Neste trabalho é apresentado um breve levantamento da história dos números primos e de que maneira o assunto acerca desses números aparecem no novo cenário trazido pela BNCC. Provamos o Teorema Fundamental da Aritmética e apresentamos duas ferramentas importantes de cálculo, que são as Congruências e o Pequeno Teorema de Fermat. Apresentamos ainda uma proposta didática e um material diferenciado para ser utilizado em sala de aula.
 
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Publishing Date
2019-07-17
 
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