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Differential Calculus - Differential Operators


Differential Operators

 

Unit vectors along the coordinate axes: 

Scalar functions (scalar fields): f (x,y, z), u (x1, x2, …,xn)

Gradient of a scalar field: grad u, ∇u

Directional derivative:

Vector function (vector field):

Divergence of a vector field:

Curl of a vector field:

Laplacian operator:

 

  • Gradient of a Scalar Function
    

 

  • Directional Derivative

     

  • Divergence of a Vector Field

     

  • Curl of a Vector Field

      

  • Laplacian Operator

     
 



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Labels: Mathematician

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