000			02936nam a2200361 i 4500
008			031210s2005 nyua b 001 0 eng
010			_a2003070363
020			_a0387207066 _qalk. paper
020			_a0387207333 _qpbk. : alk. paper
040			_aDLC _cDLC _dYDX _dCIN
049			_aBAUN_MERKEZ
050	0	4	_aQA564 _b.C688 2005
082	0	0	_222
100	1		_aCox, David A
245	1	0	_aUsing algebraic geometry / _cDavid A. Cox, John Little, Donal O'Shea
250			_a2nd ed
264		1	_aNew York : _bSpringer, _c[2005]
264		4	_c©2005
300			_axii, 572 pages : _billustrations ; _c25 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aGraduate texts in mathematics ; _v185
504			_aIncludes bibliographical references (pages 533-545) and index
505	0	0	_tTable Of Contents: _tPreface to the Second Edition _tPreface to the First Edition _t1 Introduction _t1 Polynomials and Ideals _t2 Monomial Orders and Polynomial Division _t3 Grobner Bases _t4 Affine Varieties _t2 Solving Polynomial Equations _t1 Solving Polynomial Systems by Elimination _t2 Finite-Dimensional Algebras _t3 Grobner Basis Conversion _t4 Solving Equations via Eigenvalues and Eigenvectors _t5 Real Root Location and Isolation _t3 Resultants _t1 The Resultant of Two Polynomials _t2 Multipolynomial Resultants _t3 Properties of Resultants _t4 Computing Resultants _t5 Solving Equations via Resultants _t6 Solving Equations via Eigenvalues and Eigenvectors _t4 Computation in Local Rings _t1 Local Rings _t2 Multiplicities and Milnor Numbers _t3 Term Orders and Division in Local Rings _t4 Standard Bases in Local Rings _t5 Applications of Standard Bases _t5 Modules _tl Modules over Rings _t2 Monomial Orders and Grobner Bases for Modules _t3 Computing Syzygies _t4 Modules over Local Rings _t6 Free Resolutions _t1 Presentations and Resolutions of Modules _t2 Hilbert's Syzygy Theorem _t3 Graded Resolutions _t4 Hilbert Polynomials and Geometric Applications _t7 Polytopes, Resultants, and Equations _t1 Geometry of Polytopes _t2 Sparse Resultants _t3 Toric Varieties _t4 Minkowski Sums and Mixed Volumes _t5 Bernstein's Theorem _t6 Computing Resultants and Solving Equations _t8 Polyhedral Regions and Polynomials _t1 Integer Programming _t2 Integer Programming and Combinatorics _t3 Multivariate Polynomial Splines _t4 The Grobner Fan of an Ideal _t5 The Grobner Walk _t9 Algebraic Coding Theory _t1 Finite Fields _t2 Error-Correcting Codes _t3 Cyclic Codes _t4 Reed-Solomon Decoding Algorithms _t10 The Berlekamp-Massey-Sakata Decoding Algorithm _t1 Codes from Order Domains _t2 The Overall Structure of the BMS Algorithm _t3 The Details of the BMS Algorithm _tReferences _tIndex
650		0	_aGeometry, Algebraic
700	1		_aLittle, John B
700	1		_aO'Shea, Donal
830		0	_919347 _aGraduate texts in mathematics ; _v185
900			_a28414
900			_bsatın
942			_2lcc _cKT
999			_c25111 _d25111