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...Math a calculus of several variables i textbook vector by marsden and tromba e suggested number minute lectures vectors in two three dimensional space lecture the inner product length distance matrices determinants cross include from point to line cylindrical spherical coordinates n euclidean geometry real valued functions limits continuity differentiation iterated partial derivatives introduction paths curves properties derivative chain rule gradients directional taylor s theorem extrema constrained lagrange multipliers arc curvature principle normal binormal torsion exercises following section fields divergence curl sections omitted implicit function acceleration newton second law rl...