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DIFFERENTIATION AND INTEGRATION
SCALAR AND VECTOR FIELDS INTEGRATION
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a a b axis b a c boundary Chapter closed curve closed surface condition constant vector continuous first partial coordinate lines coplanar curl F curvilinear coordinates cylindrical polar coordinates defined definition denotes differential displacement divergence divF dxdy electrostatic field enclosed equal evaluated example expressed field vector fluid flux formula Gauss's law Gauss's theorem given grad f gradient Green's Laplace's equation level surfaces magnitude normal notation obtain orthogonal parallel partial derivatives perpendicular point charge Poisson's equation position vector potential prove real numbers region respect result right handed rotation satisfies scalar and vector scalar function scalar point function scalar product scalar triple product solid angle sphere spherical polar coordinates Stokes's theorem surface integral tangential line integral tends to zero three vectors unit vector variable vector F vector field vector function vector point function vector product xy plane