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Manim como ferramenta didática para potencializar o ensino de cálculo
(Universidade Federal de São Carlos, 2024-09-17)
Visualization in Mathematics is an area of research that studies visual elements in computational tools, such as graphs, diagrams and geometric representations to communicate certain mathematical content that can assist ...
Regressão múltipla e logística: explorando suas relações e aplicações
(Universidade Federal de São Carlos, 2024-02-08)
This thesis explores statistical regression techniques, organized into three main sections. The first section addresses the construction of linear regression using the least squares method, which minimizes discrepancies ...
Estrutura de álgebras associativas com dimensão finita
(Universidade Federal de São Carlos, 2024-09-19)
The present work aims to introduce concepts and properties of finite-dimensional associative algebras, in order to describe their structure. In the first chapter, we will present properties of a few algebraic structures, ...
Geodésicas em superfícies
(Universidade Federal de São Carlos, 2024-09-16)
The main objective of this monograph was to study geodesics on surfaces of revolution. We defined the concepts of covariant derivative, parallel transport, geodesic curves, the algebraic value of the covariant derivative, ...
Cohomologia de feixes
(Universidade Federal de São Carlos, 2024-09-18)
This work aims to present and study Sheaf Cohomology, which is a theory used measure the obstruction of solving a problem globally when it can be solved locally. To this end, we discuss basic definitions and results from ...