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- W53293301 abstract "Publisher SummaryThis chapter discusses two central theorems in vector analysis: (1) The divergence theorem (also called Gauss's theorem), which relates the integral of a vector field F over a closed surface S to the volume integral of divF over the region bounded by S, and (2) Stokes' theorem that relates the integral of a vector field F around a closed curve l to the integral of curl F over any open surface S bounded by l. A simple closed surface S is said to be convex if any straight line meeting it does so in at most two points. A simple closed surface S will be called a semi-convex surface if axes Oxyz can be so chosen that any line drawn parallel to one of the axes and meeting S either (1) does so in just one or just two points, or (2) has a portion of finite length in common with S." @default.
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- W53293301 date "1977-01-01" @default.
- W53293301 modified "2023-09-27" @default.
- W53293301 title "INTEGRAL THEOREMS" @default.
- W53293301 doi "https://doi.org/10.1016/b978-0-12-119050-7.50010-6" @default.
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