000 02367nam a22003738i 4500
001 CR9781107340954
003 UkCbUP
005 20200124160217.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130225s2005||||enk o ||1 0|eng|d
020 _a9781107340954 (ebook)
020 _z9780521811569 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA218
_b.M64 2005
082 0 0 _a512.44
_222
100 1 _aMora, Teo,
_eauthor.
245 1 0 _aSolving polynomial equation systems.
_n2,
_pMacaulay's paradigm and Gröbner technology /
_cTeo Mora.
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xxii, 759 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 ;
_v99
500 _aTitle from publisher's bibliographic system (viewed on 31 May 2016).
520 _aThe second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.
650 0 _aEquations
_xNumerical solutions.
650 0 _aPolynomials.
650 0 _aGröbner bases.
650 0 _aIterative methods (Mathematics)
776 0 8 _iPrint version:
_z9780521811569
830 0 _aEncyclopedia of mathematics and its applications ;
_v99.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107340954
999 _c516384
_d516382