Abstract
We have already seen something of the role of the divergence theorem and of Stokes’ theorem in the study of fields of force and other vector fields; we shall also find them indispensable tools in later work. Our first task will be to prove them under rather restrictive assumptions, so that the proofs will not have their essential features buried in the minutiae which are unescapable if general results are to be attained.
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References
Osgood, Funktionentheorie, Leipzig, 1923 ed., p. 38
Borel, Annales de l’Ecole Normale Superieure, 3D Ser. Vol. 12 (1895) p. 51.
Heine, Die Elemente der Funktionentheorie, Journal für Mathematik und Physik, Vol. 74 (1872), p. 188.
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© 1929 Verlag Von Julius Springer
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Kellogg, O.D. (1929). The Divergence Theorem. In: Foundations of Potential Theory. Die Grundlehren der Mathematischen Wissenschaften, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-90850-7_4
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DOI: https://doi.org/10.1007/978-3-642-90850-7_4
Publisher Name: Springer, Berlin, Heidelberg
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