O teorema da função implicita em um contexto aplicado e algumas conexões no calculo de areas de regiões planas / The implicit function thorem in an applied context and some connections in the calculus of the area of plane regions
AUTOR(ES)
Epitacio Pedro da Silva Junior
DATA DE PUBLICAÇÃO
2008
RESUMO
The objective of this work is twofold. First, it presents an applied context for using the Implicit Function Theorem. This result allows to analyze the influence of the accuracy of the clocks involved in the working of the GPS (Global Positioning System), the receiver of which is a device used to locate the position of a point on the surface of the earth. Second, it points some connections among concepts of Analytic Geometry, together with Calculus of Several Variables, apparently not linked for the university student. To achieve such goal, the idea was to start with the calculus of the area of simple regions, like triangles and polygons, and reach the computation of more sophisticated areas by using Green s theorem. This result allows to justify the working of the mechanical device called planimeter
ASSUNTO(S)
green´s theorem calculo de areas sistema de posicionamento global areas calculation green teorema de planar regions gps (global positioning system) teorema da função implicita implicit function theorem regiões planas
