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"The Riddle of the Ages": James Joseph Sylvester and the Transcendence of π.

Authors :
Rice, Adrian
Source :
American Mathematical Monthly. Jun/Jul2024, Vol. 131 Issue 6, p463-478. 16p.
Publication Year :
2024

Abstract

The first proof of the transcendence of π by Ferdinand Lindemann in 1882 prompted the publication of a wave of further proofs, all attempting to elucidate, simplify, or generalize this epoch-making result. Modifications by the likes of Weierstrass, Gordan, and Hilbert all entered the literature. But one such proof sank without a trace and was almost completely ignored. This is surprising as, not only did it appear in a major journal with a large international readership, but it was also written by one of the most famous mathematicians of the time—James Joseph Sylvester. This paper tells its story. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029890
Volume :
131
Issue :
6
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
177458405
Full Text :
https://doi.org/10.1080/00029890.2024.2322944