Article ID: CBB000932086

Reading Gauss in the Computer Age: On the U.S. Reception of Gauss's Number Theoretical Work (1938--1989) (2009)

unapi

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.

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Authors & Contributors
Schwermer, Joachim
Goldstein, Catherine
Feferman, Solomon
Corry, Leo
Albers, Donald J.
Scalambro, Elena
Journals
IEEE Annals of the History of Computing
Cahiers François Viète Center for Epistemology and History of Science and Technology (CFV)
VIET: Voprosy Istorii Estestvoznaniia i Tekhniki
Studies in History and Philosophy of Science
Rutherford Journal: The New Zealand Journal for the History and Philosophy of Science and Technology
Revue d'Histoire des Mathématiques
Publishers
Springer
Oxford University Press
European Mathematical Society
E. Rauner Verlag
Carocci Editore
Cambridge University Press
Concepts
Mathematics
Number theory; number concept
Computer science
Philosophy of mathematics
Computers and computing
Logic
People
Gauss, Carl Friedrich
Fermat, Pierre de
Vandiver, Harry Schultz
Turing, Alan Mathison
Ramanujan, Srinivasa
Langlands, Robert
Time Periods
20th century
19th century
18th century
20th century, early
17th century
20th century, late
Places
United States
England
Turin (Italy)
Italy
India
Institutions
Princeton University
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