Abel–Ruffini theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Abel–Ruffini theorem" in English language version.

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abelprisen.no

Abel, Niels Henrik (1881) [1824], "Mémoire sur les équations algébriques, ou l'on démontre l'impossibilité de la résolution de l'équation générale du cinquième degré" (PDF), in Sylow, Ludwig; Lie, Sophus (eds.), Œuvres Complètes de Niels Henrik Abel (in French), vol. I (2nd ed.), Grøndahl & Søn, pp. 28–33
Abel, Niels Henrik (1881) [1826], "Démonstration de l'impossibilité de la résolution algébrique des équations générales qui passent le quatrième degré" (PDF), in Sylow, Ludwig; Lie, Sophus (eds.), Œuvres Complètes de Niels Henrik Abel (in French), vol. I (2nd ed.), Grøndahl & Søn, pp. 66–87

abelprize.no

Abel, Niels Henrik (1881) [1828], "Sur la resolution algébrique des équations" (PDF), in Sylow, Ludwig; Lie, Sophus (eds.), Œuvres Complètes de Niels Henrik Abel (in French), vol. II (2nd ed.), Grøndahl & Søn, pp. 217–243

ams.org

mathscinet.ams.org

Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253–277, doi:10.1007/BF00357046, JSTOR 41133596, MR 0606270, S2CID 123447349, Zbl 0471.01008
Fieker, Claus; Klüners, Jürgen (2014), "Computation of Galois groups of rational polynomials", LMS Journal of Computation and Mathematics, 17 (1): 141–158, arXiv:1211.3588, doi:10.1112/S1461157013000302, MR 3230862
Rosen, Michael I. (1995), "Niels Hendrik Abel and Equations of the Fifth Degree", American Mathematical Monthly, 102 (6): 495–505, doi:10.2307/2974763, JSTOR 2974763, MR 1336636, Zbl 0836.01015
Kiernan, B. Melvin (1971), "The Development of Galois Theory from Lagrange to Artin", Archive for History of Exact Sciences, 8 (1/2): 40–154, doi:10.1007/BF00327219, JSTOR 41133337, MR 1554154, S2CID 121442989
Alekseev, Valeriy B. (2004), Abel's Theorem in Problems and Solutions: Based on the Lectures of Professor V. I. Arnold, Kluwer Academic Publishers, ISBN 1-4020-2186-0, MR 2110624, Zbl 1065.12001

arxiv.org

Fieker, Claus; Klüners, Jürgen (2014), "Computation of Galois groups of rational polynomials", LMS Journal of Computation and Mathematics, 17 (1): 141–158, arXiv:1211.3588, doi:10.1112/S1461157013000302, MR 3230862

books.google.com

Ruffini, Paolo (1813). Riflessioni intorno alla soluzione delle equazioni algebraiche generali opuscolo del cav. dott. Paolo Ruffini ... (in Italian). presso la Societa Tipografica.

doi.org

Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253–277, doi:10.1007/BF00357046, JSTOR 41133596, MR 0606270, S2CID 123447349, Zbl 0471.01008
Fieker, Claus; Klüners, Jürgen (2014), "Computation of Galois groups of rational polynomials", LMS Journal of Computation and Mathematics, 17 (1): 141–158, arXiv:1211.3588, doi:10.1112/S1461157013000302, MR 3230862
Rosen, Michael I. (1995), "Niels Hendrik Abel and Equations of the Fifth Degree", American Mathematical Monthly, 102 (6): 495–505, doi:10.2307/2974763, JSTOR 2974763, MR 1336636, Zbl 0836.01015
Kiernan, B. Melvin (1971), "The Development of Galois Theory from Lagrange to Artin", Archive for History of Exact Sciences, 8 (1/2): 40–154, doi:10.1007/BF00327219, JSTOR 41133337, MR 1554154, S2CID 121442989
Khovanskii, Askold (2014), Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms, Springer Monographs in Mathematics, Springer-Verlag, doi:10.1007/978-3-642-38871-2, ISBN 978-3-642-38870-5

education.fr

bibnum.education.fr

Galois, Évariste (1846), "Mémoire sur les conditions de resolubilité des équations par radicaux" (PDF), Journal de Mathématiques Pures et Appliquées (in French), XI: 417–433

jstor.org

Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253–277, doi:10.1007/BF00357046, JSTOR 41133596, MR 0606270, S2CID 123447349, Zbl 0471.01008
Rosen, Michael I. (1995), "Niels Hendrik Abel and Equations of the Fifth Degree", American Mathematical Monthly, 102 (6): 495–505, doi:10.2307/2974763, JSTOR 2974763, MR 1336636, Zbl 0836.01015
Kiernan, B. Melvin (1971), "The Development of Galois Theory from Lagrange to Artin", Archive for History of Exact Sciences, 8 (1/2): 40–154, doi:10.1007/BF00327219, JSTOR 41133337, MR 1554154, S2CID 121442989

numdam.org

Wantzel, Pierre (1845), "Démonstration de l'impossibilité de résoudre toutes les équations algébriques avec des radicaux", Nouvelles Annales de Mathématiques (in French), 4: 57–65

semanticscholar.org

api.semanticscholar.org

Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253–277, doi:10.1007/BF00357046, JSTOR 41133596, MR 0606270, S2CID 123447349, Zbl 0471.01008
Kiernan, B. Melvin (1971), "The Development of Galois Theory from Lagrange to Artin", Archive for History of Exact Sciences, 8 (1/2): 40–154, doi:10.1007/BF00327219, JSTOR 41133337, MR 1554154, S2CID 121442989

williams.edu

web.williams.edu

Goldmakher, Leo, Arnold's Elementary Proof of the Insolvability of the Quintic (PDF)

zbmath.org

Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253–277, doi:10.1007/BF00357046, JSTOR 41133596, MR 0606270, S2CID 123447349, Zbl 0471.01008
Rosen, Michael I. (1995), "Niels Hendrik Abel and Equations of the Fifth Degree", American Mathematical Monthly, 102 (6): 495–505, doi:10.2307/2974763, JSTOR 2974763, MR 1336636, Zbl 0836.01015
Tignol, Jean-Pierre (2016), "Ruffini and Abel on General Equations", Galois' Theory of Algebraic Equations (2nd ed.), World Scientific, ISBN 978-981-4704-69-4, Zbl 1333.12001
Pesic, Peter (2004), Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability, Cambridge: MIT Press, ISBN 0-262-66182-9, Zbl 1166.01010
Tignol, Jean-Pierre (2016), "Galois", Galois' Theory of Algebraic Equations (2nd ed.), World Scientific, ISBN 978-981-4704-69-4, Zbl 1333.12001
Alekseev, Valeriy B. (2004), Abel's Theorem in Problems and Solutions: Based on the Lectures of Professor V. I. Arnold, Kluwer Academic Publishers, ISBN 1-4020-2186-0, MR 2110624, Zbl 1065.12001