Calculus In 3d Geometry, Vectors, And Multivariate Calculus
by Z. Nitecki /
2010 / English / PDF
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Perhaps the fundamental subtext of my treatment is the way that the theory developed for functions of one variable interacts with geometry to handle higher-dimension situations. The progression here, after an initial chapter developing the tools of vector algebra in the plane and in space (including dot products and cross products), is first to view vector-valued functions of a single real variable in terms of parametrized curves—here.