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<図書>
Solving polynomial equation systems I

責任表示 Teo Mora
シリーズ Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 88
データ種別 図書
出版情報 Cambridge, U.K. : Cambridge University Press , 2003
本文言語 英語
大きさ xiii, 423 p. ; 24 cm
概要 With the advent of computers, theoretical studies and solution methods for polynomial equations have changed dramatically. Many classical results can be more usefully recast within a different framewo...k 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, emphasizing 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. 続きを見る
目次 The Kronecker-Duval philosophy
Factorization

所蔵情報


: hardback 理系図3F 数理独自 MORA/5/1-1 2003
023212003000723

書誌詳細

内容注記 The Kronecker-Duval philosophy
Factorization
一般注記 Bibliography: p. 420-421
Includes index
著者標目 *Mora, Teo
件 名 LCSH:Equations -- Numerical solutions  全ての件名で検索
LCSH:Polynomials
LCSH:Iterative methods (Mathematics)
分 類 LCC:QA218
DC21:512.9/4
書誌ID 1001392870
ISBN 0521811546
NCID BA61545144
巻冊次 : hardback ; ISBN:0521811546
登録日 2009.11.02
更新日 2009.11.02

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