haha
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haha asked in 科學數學 · 1 decade ago

divergence theorem & its appl

State the divergence theorem and discuss its applications!

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  • 1 decade ago
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    divergence thm:

    ∫∫_∂V (F‧n)dA=∫∫∫_V div(F) dA

    左式為曲面積分,通常較難計算,除非函數F在V之邊界有很簡單的性質

    右式為三重積分,比較容易計算,或者估計

    通常應用於物理電學(電通量),即Gauss thm.

    最常練習看到的是: 曲面積分改為體積分(三重積分)

    Source(s): me
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