Article ID: CBB000014873

William Rowan Hamilton's paper of 1837 on the arithmetization of analysis (1978)

unapi

Description “My study of the Essay and the literature citing it suggest that (1) although Hamilton's attempt to construct the real numbers was incorrect, the fact of its incorrectness was not discovered or noted ...and (2), the Essay was a substantial contribution towards arithmetizing analysis...”


Citation URI
https://data.isiscb.org/isis/citation/CBB000014873/

Similar Citations

Article Wilson, Nancy; (1971 (pub. 1974))
On Hamilton's conception of algebra as the science of pure time (/isis/citation/CBB000011449/)

Chapter Attis, David; (1997)
The social context of W.R. Hamilton's prediction of conical refraction (/isis/citation/CBB000077720/)

Article Anne van Weerden; Steven Wepster; (2018)
A Most Gossiped About Genius: Sir William Rowan Hamilton (/isis/citation/CBB864123041/)

Article Nakane, Michiyo; Fraser, Craig G.; (2002)
The Early History of Hamilton-Jacobi Dynamics, 1834--1837 (/isis/citation/CBB000300291/)

Article Hendry, John; (1984)
The evolution of William Rowan Hamilton's view of algebra as the science of pure time (/isis/citation/CBB000027927/)

Article Ohrstrøm, Peter; (1985)
W.R. Hamilton's view of algebra as the science of pure time and his revision of this view (/isis/citation/CBB000032020/)

Article Craig Fraser; Michiyo Nakane; (2023)
Canonical transformations from Jacobi to Whittaker (/isis/citation/CBB563006808/)

Chapter Hankins, Thomas L.; (1976)
Algebra as pure time: William Rowan Hamilton and the foundations of algebra (/isis/citation/CBB000012332/)

Book Hankins, Thomas L.; (2004)
Sir William Rowan Hamilton (/isis/citation/CBB000520068/)

Article Bachelard, S.; (1971 (pub. 1974))
Du rôle de l'interprétation dans les théories algébriques de Hamilton (/isis/citation/CBB000002219/)

Article Bruno, Giuseppe; Genovese, Andrea; Improta, Gennaro; (2011)
Routing Problems: A Historical Perspective (/isis/citation/CBB001034720/)

Chapter Bloor, David; (1981)
Hamilton and Peacock on the essence of algebra (/isis/citation/CBB000020242/)

Article Hankins, Thomas L.; (1977)
Triplets and triads: Sir William Rowan Hamilton on the metaphysics of mathematics (/isis/citation/CBB000022414/)

Article Simmons, Charlotte; (2008)
William Rowan Hamilton and George Boole (/isis/citation/CBB000931920/)

Article Thomas William Barrett; (2015)
On the Structure of Classical Mechanics (/isis/citation/CBB188856810/)

Authors & Contributors
Nakane, Michiyo
Hankins, Thomas L.
Fraser, Craig G.
Anne van Weerden
Thomas William Barrett
Wilson, Nancy
Concepts
Mathematics
Algebra
Mathematicians
Physics
Mechanics
Biographies
Time Periods
19th century
18th century
20th century, early
Places
Ireland
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment