: Mathématiques: gradient theorem

mathematical physics > vector calculus > gradient theorem

mathematical analysis > calculus > vector calculus > gradient theorem

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gradient theorem

The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve. The theorem is a generalization of the second fundamental theorem of calculus to any curve in a plane or space (generally n-dimensional) rather than just the real line.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gradient_theorem)

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