This article explores the history of the Eisenstein irreducibility criterion and explains how Theodor Schönemann discovered this criterion before Eisenstein. Both were inspired by Gauss's Disquisitiones Arithmeticae, though they took very different routes to their discoveries. The article will discuss a variety of topics from 19th-century number theory, including Gauss's lemma, finite fields, the lemniscate, elliptic integrals, abelian groups, the Gaussian integers, and Hensel's lemma.
...More
Article
Grünbaum, Branko;
(2012)
Is Napoleon's Theorem Really Napoleon's Theorem?
Article
Lorenat, Jemma;
(2012)
Not Set in Stone: Nineteenth-Century Geometrical Constructions and the Malfatti Problem
Article
Centrone, Stefania;
(2012)
Strenge Beweise und das Verbot der metábasis eis állo génos
Article
Lützen, Jesper;
(2009)
Why Was Wantzel Overlooked for a Century? The Changing Importance of an Impossibility Result
Article
Abeles, Francine F.;
(2012)
Toward A Visual Proof System: Lewis Carroll's Method of Trees
Book
Chemla, Karine;
(2012)
The History of Mathematical Proof in Ancient Traditions
Article
Bir, Atilla;
Kaçar, Mustafa;
(2005)
Salih Zeki's Articles on the Trisection of an Angle
Article
Grabiner, Judith;
(2009)
Why Did Lagrange “Prove” the Parallel Postulate?
Article
Ansten Klev;
(2018)
A Road Map of Dedekind’s Theorem 66
Article
Collison, Mary Joan;
(1977)
The origins of the cubic and biquadratic reciprocity laws
Article
Andrea Sacchetti;
(2020)
Francesco Carlini: Kepler's Equation and the Asymptotic Solution to Singular Differential Equations
Article
Ehrhardt, Caroline;
(2011)
Évariste Galois and the Social Time of Mathematics
Article
Sørensen, Henrik Kragh;
(2013)
What's Abelian about Abelian Groups?
Article
Craik, Alex D. D.;
(2013)
Polylogarithms, Functional Equations and More: The Elusive Essays of William Spence (1777--1815)
Article
Angelelli, Ignacio;
(2012)
Frege's Ancestral and Its Circularities
Book
Gauß, Carl Friedrich;
Reich, Karin;
(2012)
Wolfgang Sartorius von Waltershausen, Gauß zum Gedächtniss: Biographie Carl Friedrich Gauß, Leipzig 1856. Mit dem von Karin Reich verfassten Essay “Wolfgang Sartorius von Waltershausen (1809--1876)”
Article
Doostgharin, Fatemeh;
(2010)
Abū Torāb's Treatise on Trisection of Angles
Book
Reich, Karin;
Roussanova, Elena;
(2013)
Formeln und Sterne: Korrespondenz deutscher Gelehrter mit der Kaiserlichen Akademie der Wissenschaften zu St. Petersburg: Briefe von Johann Wilhelm Andreas Pfaff, Johann Sigismund Gottfried Huth, Wilhelm Struve, Martin Bartels, Magnus Georg Paucker aus der Autographensammlung von Wilhelm Stieda in der Universitätsbibliothek Leipzig
Article
Craik, Alex D. D.;
(2012)
A Forgotten British Analyst: Nicolas Vilant (1737--1807)
Book
Robin Wilson;
John J. Watkins;
David J. Parks;
(2023)
Graph Theory in America: The First Hundred Years
Be the first to comment!