Abstract
American Journal of Mathematics, vol. xi. No. 3 (Baltimore, April 1889.)—Were it not for the size of the pages, this number might be taken to be a number of the Mathematische Annalen, seeing that out of its ninety-eight pages sixty-eight are written in German. The first memoir, by Oskar Bolza (pp. 195–214), is entitled “On the Construction of Intransitive Groups,” and touches on points discussed by Jordan (“Traité des Substitutions”) Capelli (“Sopra l'Isomorfismo dei Gruppi di Sostituzioni”), and Dyck(“Gruppentheoretische Studien”). This is followed by a short note by Karl Heun. (pp. 215–20), on. “Die herstellung einer linearen Difrerentialgleichung aus einem gegebenen Element der Integralfunction.” Next we have an important memoir by Koenigsberger (pp. 221–82), “Ueber die Reduction von Integralen transcendenter Functionen.” The closing note, by Dr. Franklin (pp, 283–92), “On the Double Periodicity of the Elliptic Functions,” inter alia, proves a theorem of a bicircular quartic, enunciated by Clifford (see Crofton, L.M.Soc. Proc.,vol. ii), and also results due to Siebeck and Greenhill, but all are established here from a different point of view.
Article PDF
Rights and permissions
About this article
Cite this article
Scientific Serials . Nature 39, 571 (1889). https://doi.org/10.1038/039571a0
Issue Date:
DOI: https://doi.org/10.1038/039571a0