| 000 | 02315nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511542831 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160217.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090505s2003||||enk o ||1 0|eng|d | ||
| 020 | _a9780511542831 (ebook) | ||
| 020 | _z9780521811545 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA218 _b.M64 2003 |
| 082 | 0 | 0 |
_a512.9/4 _221 |
| 100 | 1 |
_aMora, Teo, _eauthor. |
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| 245 | 1 | 0 |
_aSolving polynomial equation systems. _n1, _pThe Kronecker-Duval philosophy / _cTeo Mora. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2003. |
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| 300 |
_a1 online resource (xiii, 423 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aEncyclopedia of mathematics and its applications ; _v88 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 31 May 2016). | ||
| 520 | _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. | ||
| 650 | 0 |
_aEquations _xNumerical solutions. |
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| 650 | 0 | _aPolynomials | |
| 650 | 0 | _aIterative methods (Mathematics) | |
| 776 | 0 | 8 |
_iPrint version: _z9780521811545 |
| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _v88. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511542831 |
| 999 |
_c516383 _d516381 |
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