Symmetry of second derivatives (English Wikipedia)

Minguzzi 2015. Minguzzi, E. (2015). "The equality of mixed partial derivatives under weak differentiability conditions". Real Analysis Exchange. 40: 81–98. arXiv:1309.5841. doi:10.14321/realanalexch.40.1.0081. S2CID 119315951.

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"Young's Theorem" (PDF). University of California Berkeley. Archived from the original (PDF) on 2006-05-18. Retrieved 2015-01-02.

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Lindelöf 1867. Lindelöf, L. L. (1867), "Remarques sur les différentes manières d'établir la formule d² z/dx dy = d² z/dy dx", Acta Societatis Scientiarum Fennicae, 8: 205–213
Schwarz 1873. Schwarz, H. A. (1873), "Communication", Archives des Sciences Physiques et Naturelles, 48: 38–44

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Allen 1964, pp. 300–305. Allen, R. G. D. (1964). Mathematical Analysis for Economists. New York: St. Martin's Press. ISBN 9781443725224. {{cite book}}: ISBN / Date incompatibility (help)
Sandifer 2007, pp. 142–147, footnote: Comm. Acad. Sci. Imp. Petropol. 7 (1734/1735) 1740, 174-189, 180-183; Opera Omnia, 1.22, 34-56.. Sandifer, C. Edward (2007), "Mixed partial derivatives are equal", The Early Mathematics of Leonhard Euler, Vol. 1, Mathematics Association of America, ISBN 9780883855591
James 1966, p. ^{[page needed]}. James, R. C. (1966). Advanced Calculus. Belmont, CA: Wadsworth.

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Aksoy & Martelli 2002. Aksoy, A.; Martelli, M. (2002), "Mixed Partial Derivatives and Fubini's Theorem", College Mathematics Journal of MAA, 33 (2): 126–130, doi:10.1080/07468342.2002.11921930, S2CID 124561972

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Minguzzi 2015. Minguzzi, E. (2015). "The equality of mixed partial derivatives under weak differentiability conditions". Real Analysis Exchange. 40: 81–98. arXiv:1309.5841. doi:10.14321/realanalexch.40.1.0081. S2CID 119315951.
McGrath 2014. McGrath, Peter J. (2014), "Another proof of Clairaut's theorem", Amer. Math. Monthly, 121 (2): 165–166, doi:10.4169/amer.math.monthly.121.02.165, S2CID 12698408
Aksoy & Martelli 2002. Aksoy, A.; Martelli, M. (2002), "Mixed Partial Derivatives and Fubini's Theorem", College Mathematics Journal of MAA, 33 (2): 126–130, doi:10.1080/07468342.2002.11921930, S2CID 124561972
Katz 1981. Katz, Victor J. (1981), "The history of differential forms from Clairaut to Poincaré", Historia Mathematica, 8 (2): 161–188, doi:10.1016/0315-0860(81)90027-6

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Higgins 1940. Higgins, Thomas James (1940). "A note on the history of mixed partial derivatives". Scripta Mathematica. 7: 59–62. Archived from the original on 2017-04-19. Retrieved 2017-04-19.

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Hubbard & Hubbard 2015, pp. 732–733. Hubbard, John; Hubbard, Barbara (2015). Vector Calculus, Linear Algebra and Differential Forms (5th ed.). Matrix Editions. ISBN 9780971576681.

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Euler 1740. Euler, Leonhard (1740). "De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis" [On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type]. Commentarii Academiae Scientiarum Petropolitanae (in Latin). 7: 174–189, 180–183 – via The Euler Archive, maintained by the University of the Pacific.

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Minguzzi 2015. Minguzzi, E. (2015). "The equality of mixed partial derivatives under weak differentiability conditions". Real Analysis Exchange. 40: 81–98. arXiv:1309.5841. doi:10.14321/realanalexch.40.1.0081. S2CID 119315951.
McGrath 2014. McGrath, Peter J. (2014), "Another proof of Clairaut's theorem", Amer. Math. Monthly, 121 (2): 165–166, doi:10.4169/amer.math.monthly.121.02.165, S2CID 12698408
Aksoy & Martelli 2002. Aksoy, A.; Martelli, M. (2002), "Mixed Partial Derivatives and Fubini's Theorem", College Mathematics Journal of MAA, 33 (2): 126–130, doi:10.1080/07468342.2002.11921930, S2CID 124561972

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Marshall, Donald E., Theorems of Fubini and Clairaut (PDF), University of Washington

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"Young's Theorem" (PDF). University of California Berkeley. Archived from the original (PDF) on 2006-05-18. Retrieved 2015-01-02.
Higgins 1940. Higgins, Thomas James (1940). "A note on the history of mixed partial derivatives". Scripta Mathematica. 7: 59–62. Archived from the original on 2017-04-19. Retrieved 2017-04-19.

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Apostol 1965. Apostol, Tom M. (1965), Mathematical analysis: a modern approach to advanced calculus, London: Addison-Wesley, OCLC 901554874

Symmetry of second derivatives (English Wikipedia)

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