The text begins by expanding the familiar concepts of limits, continuity, and derivatives into the realm of multivariable functions. Edwards and Penney emphasize the transition from the Cartesian plane to three-dimensional space, utilizing vector algebra as a fundamental language for describing lines, planes, and surfaces in
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: The study of line and surface integrals, culminating in the fundamental theorems of Green, Stokes, and Gauss. Pedagogical Impact multivariable calculus edwards penney pdf