The Geometric Definition of the Gradient











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We are accustom to the standard definition of the gradient vector field as (f_x, f_y, f_z); however, this definition is not coordinate invariant. We give the coordinate invariant definition of the gradient geometrically in three dimensional space before giving the tensorial definition. This will give us a flavor of the more general result. • #mikethemathematician, #profdabkowski, #mikedabkowski

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