Solving Polynomial Equation Systems : The Kronecker-Duval Philosophy [ electronic resource ] / by Teo Mora.
By: Mora, Teo.
Material type: TextSeries: Encyclopedia of Mathematics and its Applications (88). Publisher: Cambridge: Cambridge University Press , 2009ISBN: 9780511542831 ( e-book ).Subject(s): Computer Science | Computer Algebra | Computational Geometry | Recreational Mathematics | MathematicsGenre/Form: Electronic booksDDC classification: 512.9422 Online resources: https://doi.org/10.1017/CBO9780511542831 View to click Summary: 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.Item type | Current location | Call number | Status | Date due | Barcode |
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E-Book | WWW | 512.9422 MOR/S (Browse shelf) | Available | EB125 |
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512.9 RED/S Design manual on signal processing simulation using MATLAB/ | 512.9 RED/S Design manual on signal processing simulation using MATLAB/ | 512.9 ROW/A Algebra : groupings and feilds / | 512.9422 MOR/S Solving Polynomial Equation Systems : | 512.943 AIT/D Determinats and matrics / | 512.9434 AKE/O The Oxford handbook of random matrix theory / | 512.9434 AYR/S Schaum`s outline of theory and problems of matrices S.I. metric edition / |
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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