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A Note on Surface Integrals of Vector Fields

DOI: 10.4236/oalib.1107934, PP. 1-11

Subject Areas: Applied Physics, Mathematics, Mathematical Statistics, Financial Mathematics, Mathematical Analysis

Keywords: Surface Integrals, Gauss Theorem, Green Theorem

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Surface integrals of vector fields play an important role in the solutions of natural science and physical science. The Gauss theorem reduces the difficulty of directly computing surface integrals of vector fields. This paper introduces an approach for the computation of integral surfaces in vector fields and obtains a generalized mathematical expression based on Gauss theorem. Moreover, the computation time is investigated by two classical examples.

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Wei, Z. , Zhou, X. and Jiang, J. (2021). A Note on Surface Integrals of Vector Fields. Open Access Library Journal, 8, e7934. doi:


[1]  Michiel, H. (ed.) (2001) Surface Integral, Encyclopedia of Mathematics. Springer, Heidelberg.
[2]  Bronshtein, I.N. and Semendyayev, K.A. (2007) Handbook of Mathematics. 5th Edition. Springer, Heidelberg.
[3]  Wilfred, K. (2002) Advanced Calculus. Jones and Bartlett Publishers, Burlington.


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