Esta é uma introdução à Geometria Analítica, isto é, ao uso de coordenadas para estudar a Geometria Euclideana – plana e espacial. À medida em que se fazem necessários, os vetores são introduzidos, tirando-se proveito de sua grande simplicidade notacional e seu forte apelo geométrico.
Os sistemas lineares são mostrados como um exemplo de conexão da Álgebra com a Geometria, motivando a consideração de matrizes e da dependência linear entre suas linhas e colunas. Áreas e volumes levam ao estudo dos determinantes. Cônicas e quádricas conduzem às formas quadráticas, às matrizes simétricas e seus autovalores.
De um modo geral, o livro mostra como conceitos básicos de Álgebra Linear são úteis para tratar, eficiente e elegantemente, problemas de Geometria Analítica.
martes, 22 de octubre de 2019
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Geometria Analítica e Algebra Linear
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