Abstract C.F Gauss's computational work in number theory attracted renewed interest in the twentieth century due to, on the one hand, the edition of Gauss's Werke, and, on the other hand, the birth of the digital electronic computer. The involvement of the U.S. American mathematicians Derrick Henry Lehmer and Daniel Shanks with Gauss's work is analysed, especially their continuation of work on topics as arccotangents, factors of n 2 + a 2, composition of binary quadratic forms. In general, this strand in Gauss's reception is part of a more general phenomenon, i.e. the influence of the computer on mathematics and one of its effects, the reappraisal of mathematical exploration.
...More
Article
Corry, Leo;
(2008)
Fermat Meets SWAC: Vandiver, the Lehmers, Computers, and Number Theory
Book
Bussotti, Paolo;
(2006)
From Fermat to Gauss: Indefinite Descent and Methods of Reduction in Number Theory
Article
Yap, Audrey;
(2011)
Gauss' Quadratic Reciprocity Theorem and Mathematical Fruitfulness
Article
Catherine Goldstein;
(2016)
«Découvrir des principes en classant» : la classification des formes quadratiques selon Charles Hermite
Article
Bullynck, Maarten;
(2010)
Factor Tables 1657--1817, with Notes on the Birth of Number Theory
Book
Goldstein, Catherine;
Schappacher, Norbert;
Schwermer, Joachim;
(2007)
The Shaping of Arithmetic after C. F. Gauss's Disquisitiones Arithmeticae
Article
Corry, Leo;
(2010)
Hunting Prime Numbers---From Human to Electronic Computers
Article
Sugimoto, Toshio;
(1986)
Berichtigungen der Zahlenrechnungen, die in den Gauss'schen Werken enthalten sind
Book
Pieper, H.;
(1978)
Variationen über ein zahlentheoretisches Thema von C. F. Gauss
Article
Neumann, Olaf;
(1979)
Zur Genesis der algebraischen Zahlentheorie: Bemerkungen aus heutiger Sicht über Gauss' Beiträge zu Zahlentheorie, Algebra und Funktionentheorie
Book
Gauss, Carl Friedrich;
(1995)
Disquisitiones arithmeticae. Traducción al español hecho por Barrantes Campos, Hugo, Michael Josephy, Angel Ruiz Zúñiga
Article
Ren, Xiao-Ming;
Pan, Qin;
(2011)
On Von Neumann's Philosophy of Computer Science
Book
Turing, Alan Mathison;
Appel, Andrew W.;
Feferman, Solomon;
(2012)
Alan Turing's Systems of Logic: The Princeton Thesis
Book
Alberto Cogliati;
(2024)
La geometria non euclidea. Una breve storia dall’antichità a Poincaré
Article
Eric Vandendriessche;
(2022)
The concrete numbers of “primitive” societies: A historiographical approach
Article
Erika Luciano;
Elena Scalambro;
Lea Terracini;
(2020)
Le lezioni di teoria dei numeri di Guido Fubini (1916-1917)
Book
Kurt Godel;
Solomon Feferman;
John W. Dawson;
Warren Goldfarb;
Charles Parsons;
Wilfried Sieg;
(2013)
Kurt Gödel: Collected Works: Volume IV
Book
Donald J. Albers;
(2016)
The G. H. Hardy Reader
Book
Rockmore, Daniel Nahum;
(2005)
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers
Book
Della Dumbaugh;
Joachim Schwermer;
(2015)
Emil Artin and Beyond--Class Field Theory and L-Functions
Be the first to comment!