Solving Polynomial Equation Systems I 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Mora, Teo 作者

Cambridge Univ Pr

译者

2003-3 出版日期

438 页数

$ 240.69 价格

HRD

丛书系列

9780521811545 图书编码

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发表于2024-09-22

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Solving Polynomial Equation Systems I 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Solving Polynomial Equation Systems I 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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Polynomial 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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