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Divergence And Curl In Curvilinear Coordinates
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www.astrosen.unam.mxGradient of a scalar field; divergence of a vector field; curl of a vector field 10.8 Vector operator formulae354 Vector operators acting on sums and products; combinations of grad, div and curl 10.9 Cylindrical and spherical polar coordinates357 10.10 General curvilinear coordinates364 10.11 Exercises369 10.12 Hints and answers375
Vector Calculus
mecmath.net1 Vectors in Euclidean Space 1.1 Introduction In single-variable calculus, the functions that one encounters are functions of a variable (usually x or t) that varies over some subset of the real number line (which we denote by R). For such a function, say, y=f(x), the graph of the function f consists of the points (x,y)= (x,f(x)).These points lie in the Euclidean plane, which, in the …