History of group theory (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "History of group theory" in English language version.

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Kleiner 1986 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 202 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 204 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090

ams.org

Aschbacher, Michael (2004). "The Status of the Classification of the Finite Simple Groups" (PDF). Notices of the American Mathematical Society. 51 (7): 736–740.

archive.org

Le Seur, Thomas (1748). Memoire sur le Calcul Integral (in French). Rome, (Italy): Freres Pagliarini. ; pp. 13 ff, see especially pp. 22–23.
See:
- Waring, Edward (1762). Miscellanea Analytica, de aequationibus algebraicis, et curvarum proprietatibus (in Latin). Cambridge, England: J. Bentham.
- See:
  - Klein, Felix (1872). Vergleichende Betrachtungen über neuere geometrische Forschungen [A comparative review of recent researches in geometry] (in German). Erlangen, Germany: Andreas Deichert.

biodiversitylibrary.org

Abbati, Pietro (1803). "Lettera di Pietro Abbati Modenese al socio Paolo Ruffini" [Letter from Pietro Abbati of Modena to his colleague Paolo Ruffini]. Memorie di Matematica e di Fisica della Società Italiana delle Scienze (in Italian). 10 (part 2): 385–409.

books.google.com

Saunderson, Nicholas (1740). The Elements of Algebra, in Ten Books. Vol. 2. Cambridge, England: Cambridge University Press. pp. 735–736, "Of the resolution of all sorts of biquadratic equations by the mediation of cubics.".
Vandermonde, N. (1888). Itzigsohn, Carl (ed.). Abhandlungen aus der reinen Mathematik (in German). Julius Springer. Mit Vandermonde's im Jahre 1770 der Pariser Akademie vorgelegten Abhand- lung über die Auflösung der Gleichungen beginnt – so hat sich jüngst Herr Kronecker in einer Vorlesung geäussert – der neue Aufschwung der Algebra [With Vandermonde's treatise on the solution of equations presented to the Paris Academy in 1770 – as Kronecker recently said in a lecture – the new boom in algebra begins]

doi.org

Kleiner 1986 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 202 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Cayley, A. (1854). "On the theory of groups, as depending on the symbolic equation θⁿ = 1". Philosophical Magazine. 4th series. 7 (42): 40–47. doi:10.1080/14786445408647421.
Kleiner 1986, p. 204 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 2007, p. 32. Kleiner, Israel (2007). Kleiner, Israel (ed.). A history of abstract algebra. Boston, Mass.: Birkhäuser. doi:10.1007/978-0-8176-4685-1. ISBN 978-0-8176-4685-1.

gutenberg.org

Smith 1906 Smith, David Eugene (1906), History of Modern Mathematics, Mathematical Monographs, No. 1

hathitrust.org

babel.hathitrust.org

Hudde, Johannes (1659) "Epistola prima, de reductione æquationum" (First letter: on the reduction of equations). In: Descartes, René; Beaune, Florimond de; Schooten, Frans van; Hudde, Johannes; Heuraet, Hendrik van. Renati Des-Cartes Geometria. 2nd ed. vol. 1. (in Latin) Amsterdam, Netherlands: Louis and Daniel Elzevir. pp. 406–506.
Burkhardt, Heinrich (1892). "Die Anfänge der Gruppentheorie und Paolo Ruffini" [The beginnings of group theory and Paolo Ruffini]. Zeitschrift für Mathematik und Physik (in German). 37 (Supplement): 119–159.
See:
- Lagrange (1770). "Reflexions sur la résolution algébrique des équations" [Reflections on the algebraic solution of equations]. Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-lettres (Berlin) (in French). 1: 134–215.
- Lagrange 1771, p. 235 Lagrange (1771). "Suite des reflexions sur la résolution algébrique des équations" [Continuation of reflections on the algebraic solution of equations]. Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-lettres (Berlin) (in French). 2: 138–253.
- Vandermonde (1771). "Mémoire sur la resolution des équations" [Memoir on the solution of equations]. Histoire de l'Académie Royale des Sciences. Avec les Mémoires de Mathématique & de Physique (in French): 365–416.
- Ruffini, Paolo (1799). Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica delle equazioni generali di grado superiore al quarto [General Theory of Equations, in which the algebraic solution of general equations of degree higher than four is proven impossible] (in Italian). Vol. 1 & 2. Bologna, (Italy): St. Tommaso d'Aquino.
- Cayley, A. (1854). "On the theory of groups, as depending on the symbolic equation θⁿ = 1". Philosophical Magazine. 4th series. 7 (42): 40–47. doi:10.1080/14786445408647421.

ihp.fr

galois.ihp.fr

"Galois' last letter".

jstor.org

Kleiner 1986 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 202 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 204 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090

nonagon.org

Cauchy, A. L. (3 December 2014) [January 1815]. "Memoire Sur le Nombre des Valeurs" [Paper on the number of values]. Ex Libris. Translated by Bertrand, Mike; Gaschignard, Stephen.

springer.com

link.springer.com

Kleiner 2007, p. 32. Kleiner, Israel (2007). Kleiner, Israel (ed.). A history of abstract algebra. Boston, Mass.: Birkhäuser. doi:10.1007/978-0-8176-4685-1. ISBN 978-0-8176-4685-1.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F., "Alexandre-Théophile Vandermonde", MacTutor History of Mathematics Archive, University of St Andrews, Cauchy states quite clearly that Vandermonde had priority over Lagrange for this remarkable idea which eventually led to the study of group theory.
O'Connor, John J.; Robertson, Edmund F., "The abstract group concept", MacTutor History of Mathematics Archive, University of St Andrews

umich.edu

quod.lib.umich.edu

Galois 1908 Galois, Évariste (1908), Tannery, Jules (ed.), Manuscrits de Évariste Galois, Paris: Gauthier-Villars

wikipedia.org

fr.wikipedia.org

Articles about Thomas Le Seur are available in French Wikipedia and German Wikipedia.

de.wikipedia.org

Articles about Thomas Le Seur are available in French Wikipedia and German Wikipedia.

worldcat.org

search.worldcat.org

Kleiner 1986 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 202 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090
Kleiner 1986, p. 204 Kleiner, Israel (1986), "The evolution of group theory: a brief survey", Mathematics Magazine, 59 (4): 195–215, doi:10.2307/2690312, ISSN 0025-570X, JSTOR 2690312, MR 0863090