Editing Helmholtz decomposition (section)

== Notes ==
{{Reflist|30em|refs=

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<!-- <ref name="bladel1958">Jean Bladel: ''On Helmholtz's Theorem in Finite Regions''. Midwestern Universities Research Association, 1958.</ref> -->

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<ref name="murray1898">[[Daniel Murray (mathematician)|Daniel Alexander Murray]]: ''An Elementary Course in the Integral Calculus''. American Book Company, 1898. p. 8.</ref>

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<ref name="petrascheck2015">Dietmar Petrascheck: ''The Helmholtz decomposition revisited''. In: ''[[European Journal of Physics]]'' 37.1, 2015, Artikel 015201, {{doi|10.1088/0143-0807/37/1/015201}}.</ref>

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<ref name="shaw1922">James Byrnie Shaw: ''Vector Calculus: With Applications to Physics''. D. Van Nostrand, 1922, p. 205.<br />See also: [[Green's theorem]].</ref>

<ref name="sprossig2009">Wolfgang Sprössig: ''On Helmholtz decompositions and their generalizations – An overview''. In: ''[[Mathematical Methods in the Applied Sciences]]'' 33.4, 2009, pp. 374–383, {{doi|10.1002/mma.1212}}.</ref>

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<ref name="stokes1849">[[George Gabriel Stokes]]: ''On the Dynamical Theory of Diffraction''. In: ''Transactions of the [[Cambridge Philosophical Society]]'' 9, 1849, pp. 1–62. {{doi|10.1017/cbo9780511702259.015}}, see pp. 9–10.</ref>

<ref name="suda2019">Tomoharu Suda: ''Construction of Lyapunov functions using Helmholtz–Hodge decomposition''. In: ''Discrete & Continuous Dynamical Systems – A'' 39.5, 2019, pp. 2437–2454, {{doi|10.3934/dcds.2019103}}.</ref>

<ref name="suda2020">Tomoharu Suda: ''Application of Helmholtz–Hodge decomposition to the study of certain vector fields''. In: ''[[Journal of Physics]] A: Mathematical and Theoretical'' 53.37, 2020, pp. 375703. {{doi|10.1088/1751-8121/aba657}}.</ref>

<ref name="trancong1993">Ton Tran-Cong: ''On Helmholtz’s Decomposition Theorem and Poissons’s Equation with an Infinite Domain''. In: ''[[Quarterly of Applied Mathematics]]'' 51.1, 1993, pp. 23–35, {{JSTOR|43637902}}.</ref>

<ref name="vermont">{{cite web |url=http://www.cems.uvm.edu/~oughstun/LectureNotes141/Topic_03_(Helmholtz'%20Theorem).pdf |title=Helmholtz' Theorem |publisher=University of Vermont| access-date=2011-03-11 | archive-url=https://web.archive.org/web/20120813005804/http://www.cems.uvm.edu/~oughstun/LectureNotes141/Topic_03_(Helmholtz'%20Theorem).pdf| archive-date=2012-08-13| url-status=dead}}</ref>

<ref name="warner1983">Frank W. Warner: ''The Hodge Theorem''. In: ''Foundations of Differentiable Manifolds and Lie Groups''. (= Graduate Texts in Mathematics 94). Springer, New York 1983, {{doi|10.1007/978-1-4757-1799-0_6}}.</ref>

<ref name="woolhouse1854">[[Wesley Stoker Barker Woolhouse]]: ''Elements of the differential calculus''. Weale, 1854.</ref>

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