Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Models of discriminant surfaces
HTML articles powered by AMS MathViewer

by Jaap Top and Erik Weitenberg PDF
Bull. Amer. Math. Soc. 48 (2011), 85-90 Request permission
References
  • New publications, Bull. Amer. Math. Soc. 16 (1910), no. 9, 502–506. MR 1558954, DOI 10.1090/S0002-9904-1910-01959-5
  • Walther von Dyck, Katalog mathematischer und mathematisch-physikalischer Modelle, Apparate und Instrumente. München : C. Wolf & Sohn, 1892 and 1893. (The original catalog published in 1892 consists of 430 pages; a supplement (Nachtrag) which appeared in 1893 contains another 135 pages.) See also http://libsysdigi.library. uiuc.edu/ilharvest/MathModels/0007KATA/
  • Arnold Emch, New Models for the Solution of Quadratic and Cubic Equations, Natl. Math. Mag. 9 (1935), no. 6, 162–164. MR 1569206
  • Helaman Ferguson, A parametric form of the quintic discriminant, very remarkable and deserves to be better known. See http://www.helasculpt.com/gallery/ quniticmaryemI/
  • Judy Green and Jeanne LaDuke, Pioneering women in American mathematics, History of Mathematics, vol. 34, American Mathematical Society, Providence, RI; London Mathematical Society, London, 2009. The pre-1940 PhD’s. MR 2464022, DOI 10.1090/hmath/034
  • Roderich Hartenstein, Die Diskriminantenfläche der Gleichung 4ten Grades. (Mathematische Abhandlungen aus dem Verlage mathematischer Modelle von M. Schilling. Neue Folge. Nr. 8.) Leipzig: Schilling, 1909. (19 pages.)
  • G. Kerschensteiner, Geometrische Darstellung der Discriminanten dritten und vierten Grades, pp. 168–173 in \cite{Dyck}, 1892.
  • G. Kerschensteiner, Geometrische Darstellung der Discriminante der Hauptgleichung fünften Grades, pp. 23–25 in the Nachtrag of \cite{Dyck}, 1893.
  • F. Klein, Geometrisches zur Abz’"ahlung der reellen Wurzeln algebraischer Gleichungen, pp. 3–15 in \cite{Dyck}, 1892.
  • Felix Klein, Elementary mathematics from an advanced standpoint, Dover Publications, Inc., Mineola, NY, 2004. Arithmetic, algebra, analysis; Translated from the third German edition by E. R. Hedrick and C. A. Noble; Reprint of the 1932 translation. MR 2098410
  • Verslagen der Zittingen van de Wis- en Natuurkundige Afdeeling der Koninklijke Akademie van Wetenschappen, van 27 Mei 1893 tot 21 April 1894. Amsterdam: Johannes Müller, 1894. See also the second half of http://www.archive.org/ stream/verslagenderzit00netgoog
  • V. Malthe Bruun and C. Crone, Quatre modèles représentant des surfaces développables, avec des renseignements sur la construction des modèles sur les singularités qu’ils représentent (avec quelques remarques sur les surfaces développables et sur l’utilité des modèles par M. le Docteur H.G. Zeuthen). Paris: J. Baudry, 1877.
  • Catalog mathematischer Modelle für den höheren mathematischen Unterricht. Siebente Auflage. Leipzig: Martin Schilling, 1911. See also http://libsysdigi. library.uiuc.edu/ilharvest/MathModels/0006CATA/
  • P.H. Schoute, Drei Fadenmodelle von entwickelbaren Flächen, die mit algebraischen Gleichungen höheren Grades in Verbindung stehen, pp. 25–28 in the Nachtrag of \cite{Dyck}, 1893.
  • Schoute biography, on http://www-history.mcs.st-and.ac.uk/Biographies/ Schoute.html
  • Mary Emily Sinclair, Concerning the Discriminantal Surface for the Quintic in the Normal Form: $u^5+10xu^3+5yu+z=0$. Master’s thesis, Faculties of Arts, Literature, and Science, University of Chicago, 1903.
  • Mary Emily Sinclair, Discriminantal Surface for the Quintic in the Normal Form $u^5+10xu^3+5yu+z=0$. Halle: Verlag von Martin Schilling, 8 pages, 1908.
  • J.J. Sylvester, Algebraical Researches, Containing a Disquisition on Newton’s Rule for the Discovery of Imaginary Roots, and an Allied Rule Applicable to a Particular Class of Equations, Together with a Complete Invariantive Determination of the Character of the Roots of the General Equation of the Fifth Degree, &c, Philosophical Transactions of the Royal Society of London, Series A, 154 (1864), 579-666.
  • H. Weber, Lehrbuch der Algebra. Vol. 1. Braunschweig: Friedrich Vieweg und Sohn, 1895. See also http://www.archive.org/details/ lehrbuchderalgeb01weberich
Similar Articles
Additional Information
  • Jaap Top
  • Affiliation: Johann Bernoulli Institute, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands
  • MR Author ID: 259891
  • ORCID: 0000-0002-5265-7608
  • Email: j.top@rug.nl
  • Erik Weitenberg
  • Affiliation: Johann Bernoulli Institute, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands
  • Email: e.r.a.weitenberg@gmail.com
  • Received by editor(s): May 11, 2010
  • Published electronically: October 7, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Bull. Amer. Math. Soc. 48 (2011), 85-90
  • MSC (2010): Primary 14-03, 14J26, 55-03, 55R80
  • DOI: https://doi.org/10.1090/S0273-0979-2010-01315-X
  • MathSciNet review: 2738907