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On the impossibility of a fixed point proof of the fundamental theorem of algebra. Seminar on mathematical analysis

Aleman, Alexandru LU (1985) In Seminar on mathematical analysis (Cluj-Napoca, 1985), p.157-161
Abstract
The author shows that the proofs of \n B. H. Arnold\en [Amer. Math. Monthly 56 (1949), 465--466; MR0031725 (11,195h)] and \n I. Niven\en [ibid. 57 (1950), 246--248; MR0035738 (12,4c)] of the fundamental theorem of algebra, based on the Brouwer fixed point theorem, are incomplete. Both Arnold and Niven recognized that the proofs are invalid, and they remarked that no easy remedy seems to save their proofs.



In his note the author shows that it is impossible to prove the fundamental theorem of algebra using the method of these authors.
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
Seminar on mathematical analysis (Cluj-Napoca, 1985),
pages
157 - 161
language
English
LU publication?
no
id
7d15cb08-06bd-471d-98c2-29b3521a8e17 (old id 1467475)
date added to LUP
2009-09-16 14:50:11
date last changed
2016-06-29 09:13:28
@misc{7d15cb08-06bd-471d-98c2-29b3521a8e17,
  abstract     = {The author shows that the proofs of \n B. H. Arnold\en [Amer. Math. Monthly 56 (1949), 465--466; MR0031725 (11,195h)] and \n I. Niven\en [ibid. 57 (1950), 246--248; MR0035738 (12,4c)] of the fundamental theorem of algebra, based on the Brouwer fixed point theorem, are incomplete. Both Arnold and Niven recognized that the proofs are invalid, and they remarked that no easy remedy seems to save their proofs.<br/><br>
<br/><br>
In his note the author shows that it is impossible to prove the fundamental theorem of algebra using the method of these authors.},
  author       = {Aleman, Alexandru},
  language     = {eng},
  pages        = {157--161},
  series       = {Seminar on mathematical analysis (Cluj-Napoca, 1985),},
  title        = {On the impossibility of a fixed point proof of the fundamental theorem of algebra. Seminar on mathematical analysis},
  year         = {1985},
}