Integral Theorems

B. Hague

Chapter 5 in An Introduction to Vector Analysis For Physicists and Engineers, 1970, pp 70-90 from Springer

Abstract: Abstract Consider a closed surface S drawn in a vector field V; the flux through an element of vector area dS = ndS, n being the unit outward drawn normal, is $$ {\text{V}}{\text{.dS = V}}{\text{.ndS,}} $$ as explained on p. 27. The surface integral of such elements will give the total normal flux through the surface in the form given by 2.22, $$ \iint\limits_S {V.dS} \equiv \iint\limits_S {V.ndS}. $$

Date: 1970
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DOI: 10.1007/978-94-009-5841-8_5

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