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200 1 $aFrontiers of economics$fedited by Kenneth J. Arrow & Seppo Honkapohja
210   $aOxford$cBasil Blackwell$d1985
215   $aVIII, 458 p.$d23 cm
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676   $a330
702  1$aARROW,$bKenneth. J.
702  1$aHONKAPOHJA,$bSeppo
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200 10$aSolving polynomial equation systems$h1$iThe Kronecker-Duval philosophy /$fTeo Mora$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2003.
215   $a1 online resource (xiii, 423 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications ;$v88
300   $aTitle from publisher's bibliographic system (viewed on 31 May 2016).
311   $a0-521-81154-6 
320   $aIncludes bibliographical references and index.
327   $a1. The Kronecker-Duval philosophy
330   $aPolynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. 
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615  0$aIterative methods (Mathematics)
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