000 02826nam a2200361 i 4500
008 040330s2004 gw b 001 0 eng
010 _a 2004104811
020 _a3540213112
_qpbk. : alk. paper
035 _a(DLC) 2004104811
040 _aDLC
_cDLC
_dDLC
_dBAUN
_erda
049 _aBAUN_MERKEZ
050 0 4 _aQA251.3
_b.V365 2004
082 0 0 _222
100 1 _aVasconcelos, Wolmer V.,
_d1937-
245 1 0 _aComputational methods in commutative algebra and algebraic geometry /
_cWolmer V. Vasconcelos ; with chapters by David Eisenbud ... [and others].
250 _aCorr. 3rd printing.
264 1 _aBerlin ;
_aNew York :
_bSpringer,
_c2004.
300 _axiii, 408 pages ;
_c24 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aAlgorithms and computation in mathematics,
_x1431-1550 ;
_vv. 2
504 _aIncludes bibliographical references (pages [393]-403) and index.
505 0 0 _t-- Fundamental Algorithms.
_t--Toolkit.
_t--Principles of Primary Decomposition.
_t--Computing in Artin Algebras.
_t--Nullstellensätze.
_t--Integral Closure.
_t--Ideal Transforms and Rings of Invariants.
_t--Computation of Cohomology
_r(by David Eisenbud).
_t--Degrees of Complexity of a Graded Module.
_t--Appendix A. A Primer on Commutative Algebra.
_t--Appendix B. Hilbert Functions
_r(by Jürgen Herzog).
_t--Appendix C. Using Macaulay 2
_r(by David Eisenbud, Daniel Grayson and Michael Stillman).
_t--Bibliography.
_t--Index.
520 _aFrom the reviews: "... Many parts of the book can be read by anyone with a basic abstract algebra course... it was one of the author's intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage them to do further research in commutative algebra and algebraic geometry. But researchers will also benefit from this exposition. They will find an up-to-date description of the related research ... The reviewer recommends the book to anybody who is interested in commutative algebra and algebraic geometry and its computational aspects." Math. Reviews 2002 "... a sophisticated notebook, with plenty of suggestions, examples and cross references ... It is a welcome new and deep exploration into commutative algebra and its relations with algebraic geometry. It is full of results, from simple tricks to more elaborate constructions, all having in common a computational and constructive nature..." Jahresberichte der DMV 1999
650 0 _aCommutative algebra
_xData processing.
650 0 _aGeometry, Algebraic
_xData processing.
700 1 _aEisenbud, David.
830 0 _9108493
_aAlgorithms and computation in mathematics,
_x1431-1550 ;
_vv. 2
900 _a25742
900 _bsatın
942 _2lcc
_cKT
999 _c21049
_d21049