000			02789nam a22003737a 4500
003			OSt
005			20240626122750.0
008			240625b |||||||| |||| 00| 0 hin d
020			_a9783319167206
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a512.7 _bCOX-I
100			_aCox, David A.
245			_aIdeals, varieties, and algorithms : _ban introduction to computational algebraic geometry and commutative algebra.
250			_a4th ed.
260			_aNew York : _bSpringer, _c2024.
300			_axvi, 646p. : _bill. ;
490			_aUndergraduate texts in mathematics
504			_aIncludes bibliographical references (p. 627-633) and index.
520			_aThis text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D). The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. Appendix C describes features of Maple™, Mathematica® and Sage, as well as other systems that are most relevant to the text. Pseudocode is used in the text; Appendix B carefully describes the pseudocode used.
650			_aGeometry, Algebraic _xData processing.
650			_aCommutative algebra _xData processing.
650			_aCoCoA algebraic geometry
650			_aHilbert basis theorem
650			_aMaple algebraic geometry
650			_aComputational algebraic geometry
650			_aInvariant theory
650			_aAlgorithms algebraic geometry
700			_aLittle, John
700			_aO'Shea, Donal.
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-16721-3/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/26497490-ideals-varieties-and-algorithms?ref=nav_sb_ss_1_13#CommunityReviews
942			_cN _2udc
999			_c35076 _d35076