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
Corry, Leo
Feferman, Solomon
Goldstein, Catherine
Schwermer, Joachim
Appel, Andrew W.
Bullynck, Maarten
Journals
Bollettino di Storia delle Scienze Matematiche
Historia Mathematica
Historia Scientiarum: International Journal of the History of Science Society of Japan
IEEE Annals of the History of Computing
Kexue Jishu Zhexue Yanjiu (Studies in Philosophy of Science and Technology)
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Publishers
Princeton University
Cambridge University Press
Academia Colombiana de Ciencias Exactas, Físicas y Naturales
Birkhäuser
Carocci Editore
E. Rauner Verlag
Concepts
Mathematics
Number theory; number concept
Computer science
Logic
Philosophy of mathematics
Algebra
People
Gauss, Carl Friedrich
Fermat, Pierre de
Vandiver, Harry Schultz
Artin, Emil
Bell, Eric Temple
Chevalley, Claude
Time Periods
19th century
20th century
18th century
17th century
20th century, early
20th century, late
Places
United States
Italy
Turin (Italy)
England
Institutions
Princeton University
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