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TOUCHE ROUCHE
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 Title & Authors
TOUCHE ROUCHE
Harte, Robin; Keogh, Gary;
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 Abstract
There seems to be a love-hate relationship between Brouwer`s fixed point theorem and the fundamental theorem of algebra; in this note we offer one more tweak at it, and give a version of Rouches theorem.
 Keywords
contractible mapping;Brouwer fixed point theorem;fundamental theorem of algebra;Rouche′s theorem;
 Language
English
 Cited by
1.
Ruston, Riesz and perturbation classes, Journal of Mathematical Analysis and Applications, 2012, 389, 2, 871  crossref(new windwow)
 References
1.
Amer. Math. Monthly, vol.56. pp.465-466 crossref(new window)

2.
Topology and analysis: the Atiyah-Singer formula and gauge-theoretic physics,

3.
The fundamental theorem of algebra,

4.
Functions of one complex variable,

5.
Invertibility and singularity,

6.
An introduction to algebraic topology,

7.
Notices Amer. Math. Soc., vol.104. pp.855-859

8.
Amer. Math. Monthly, vol.96. pp.911-913 crossref(new window)