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Gradient of a scalar field and the calculus of surfaces


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The Vector Operator nabla or del


Instead of grad phi we can use the expression nabla phi. The symbol [nabla] is pronounced del or nabla and it stands for [Equation goes here - download the original to see it.] It signifies the operation of finding the first-order partial derivatives of nabla and the formation of a vector field. Nabla is not itself a vector, but by applying nabla to a scalar field a vector field is defined; hence it is called a differential vector operator
Contents of
Gradient of a scalar field and the calculus of surfaces

1 The gradient of a scalar field
2 Example - The gradient of a scalar field
3 The Vector Operator nabla or del

Related articles: (1) Scalar fields and vector functions, (2) Directional derivatives and grad