The Gradient The gradient is a vector operation which operates on a scalar function to produce a vector whose magnitude is the maximum rate of change of the function at the point of the gradient and which is pointed in the direction of that maximum rate of change. In rectangular coordinates the gradient of function f(x,y,z) is:
The divergence of the gradient is called the LaPlacian. It is widely used in physics. Gradient in other coordinate systems 
Index Vector calculus  

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Gradient, Various Coordinates Compared to the gradient in rectangular coordinates: 
Index Vector calculus  

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Divergence, Various Coordinates Compared to the divergence in rectangular coordinates: 
Index Vector calculus  

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