Riemann mapping theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Riemann mapping theorem" in English language version.

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For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Gray 1994, pp. 78–80, citing Carathéodory 1912 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426
Gray 1994, pp. 80–83 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591

arxiv.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Greene & Kim 2017, p. 1 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7
Binder, Ilia; Braverman, Mark; Yampolsky, Michael (2007). "On the computational complexity of the Riemann mapping". Arkiv för Matematik. 45 (2): 221. arXiv:math/0505617. Bibcode:2007ArM....45..221B. doi:10.1007/s11512-007-0045-x. S2CID 14545404.

doi.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Gray 1994, pp. 78–80, citing Carathéodory 1912 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426
Greene & Kim 2017, p. 1 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7
Lakhtakia, Akhlesh; Varadan, Vijay K.; Messier, Russell (August 1987). "Generalisations and randomisation of the plane Koch curve". Journal of Physics A: Mathematical and General. 20 (11): 3537–3541. doi:10.1088/0305-4470/20/11/052.
Marshall, Donald E.; Rohde, Steffen (2007). "Convergence of a Variant of the Zipper Algorithm for Conformal Mapping". SIAM Journal on Numerical Analysis. 45 (6): 2577. CiteSeerX 10.1.1.100.2423. doi:10.1137/060659119.
Binder, Ilia; Braverman, Mark; Yampolsky, Michael (2007). "On the computational complexity of the Riemann mapping". Arkiv för Matematik. 45 (2): 221. arXiv:math/0505617. Bibcode:2007ArM....45..221B. doi:10.1007/s11512-007-0045-x. S2CID 14545404.

harvard.edu

ui.adsabs.harvard.edu

Binder, Ilia; Braverman, Mark; Yampolsky, Michael (2007). "On the computational complexity of the Riemann mapping". Arkiv för Matematik. 45 (2): 221. arXiv:math/0505617. Bibcode:2007ArM....45..221B. doi:10.1007/s11512-007-0045-x. S2CID 14545404.

jstor.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285

psu.edu

citeseerx.ist.psu.edu

Marshall, Donald E.; Rohde, Steffen (2007). "Convergence of a Variant of the Zipper Algorithm for Conformal Mapping". SIAM Journal on Numerical Analysis. 45 (6): 2577. CiteSeerX 10.1.1.100.2423. doi:10.1137/060659119.

researchgate.net

"What did Riemann Contribute to Mathematics? Geometry, Number Theory and Others".

semanticscholar.org

api.semanticscholar.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Gray 1994, pp. 78–80, citing Carathéodory 1912 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426
Binder, Ilia; Braverman, Mark; Yampolsky, Michael (2007). "On the computational complexity of the Riemann mapping". Arkiv för Matematik. 45 (2): 221. arXiv:math/0505617. Bibcode:2007ArM....45..221B. doi:10.1007/s11512-007-0045-x. S2CID 14545404.

stonybrook.edu

math.stonybrook.edu

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Gray 1994, pp. 78–80, citing Carathéodory 1912 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426
Gray 1994, pp. 80–83 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591

worldcat.org

search.worldcat.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285

zbmath.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285

zenodo.org

For the original paper, see Osgood 1900. For accounts of the history, see Walsh 1973, pp. 270–271; Gray 1994, pp. 64–65; Greene & Kim 2017, p. 4. Also see Carathéodory 1912, p. 108, footnote ** (acknowledging that Osgood 1900 had already proven the Riemann mapping theorem). Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285 Walsh, J. L. (1973), "History of the Riemann mapping theorem", The American Mathematical Monthly, 80 (3): 270–276, doi:10.2307/2318448, ISSN 0002-9890, JSTOR 2318448, MR 0323996 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Greene, Robert E.; Kim, Kang‑Tae (2017), "The Riemann mapping theorem from Riemann's viewpoint", Complex Analysis and Its Synergies, 3, arXiv:1604.04071, doi:10.1186/s40627-016-0009-7 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426 Osgood, W. F. (1900), "On the Existence of the Green's Function for the Most General Simply Connected Plane Region", Transactions of the American Mathematical Society, 1 (3), Providence, R.I.: American Mathematical Society: 310–314, doi:10.2307/1986285, ISSN 0002-9947, JFM 31.0420.01, JSTOR 1986285
Gray 1994, pp. 78–80, citing Carathéodory 1912 Gray, Jeremy (1994), "On the history of the Riemann mapping theorem" (PDF), Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento (34): 47–94, MR 1295591 Carathéodory, C. (1912), "Untersuchungen über die konformen Abbildungen von festen und veranderlichen Gebieten", Mathematische Annalen, 72: 107–144, doi:10.1007/bf01456892, S2CID 115544426