000			02133nam a22003618i 4500
001			CR9781139015998
003			UkCbUP
005			20200124160214.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110215s2015||||enk o ||1 0|eng|d
020			_a9781139015998 (ebook)
020			_z9780521811552 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA218 _b.M64 2015
082	0	0	_a512.9/4 _221
100	1		_aMora, Teo, _eauthor.
245	1	0	_aSolving polynomial equation systems. _nVolume 3, _pAlgebraic solving / _cTeo Mora.
264		1	_aCambridge : _bCambridge University Press, _c2015.
300			_a1 online resource (xviii, 275 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 157
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Gröbner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni-Kalkbrener Theorem, Stetter Algorithm, Cardinal-Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bézout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
650		0	_aEquations _xNumerical solutions.
650		0	_aPolynomials.
650		0	_aIterative methods (Mathematics)
776	0	8	_iPrint version: _z9780521811552
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 157.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139015998
999			_c516105 _d516103