Gradient of a scalar field and the calculus of surfaces
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Example - The gradient of a scalar field
Equations are omitted for technical reasons - download the original pdf
The gravitational potential at a point [Equation goes here - download the original to see it.] of a gravitational field is given by [Equation goes here - download the original to see it.] where is a constant. For example, the gravitational field surrounding the sun [Diagram goes here - download the original to see it.] The gravitational potential is inversely proportional to the distance of the point from the centre of the sun [Diagram goes here - download the original to see it.] Find and show that this points in the direction of the centre of the gravitational field. [Equation goes here - download the original to see it.]
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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
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