國立虎尾科技大學 |

Ideals, varieties, and algorithms = an introduction to computational algebraic geometry and commutative algebra /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Ideals, varieties, and algorithms/ by David A. Cox, John Little, Donal O'Shea.
其他題名:	an introduction to computational algebraic geometry and commutative algebra /
作者:	Cox, David A.
其他作者:	Little, John.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xvi, 656 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Geometry, Algebraic - Data processing. -
電子資源:	https://doi.org/10.1007/978-3-031-91841-4
ISBN:	9783031918414

Ideals, varieties, and algorithms = an introduction to computational algebraic geometry and commutative algebra /
Cox, David A.

Ideals, varieties, and algorithmsan introduction to computational algebraic geometry and commutative algebra /[electronic resource] :by David A. Cox, John Little, Donal O'Shea. - Fifth edition. - Cham :Springer Nature Switzerland :2025. - xvi, 656 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,2197-5604. - Undergraduate texts in mathematics..

Preface -- Notation for Sets and Functions -- 1 Geometry, Algebra, and Algorithms -- 2 Groebner Bases -- 3 Elimination Theory -- 4 The Algebra-Geometry Dictionary -- 5 Polynomial and Rational Functions on a Variety -- 6 Robotics and Automatic Geometric Theorem Proving -- 7 Invariant Theory of Finite Groups -- 8 Projective Algebraic Geometry -- 9 The Dimension of a Variety -- 10 Additional Groebner Basis Algorithms -- Appendix A Some Concepts from Algebra -- Appendix B Pseudocode -- Appendix C Computer Algebra Systems -- Appendix D Independent Projects -- References -- Index.

ISBN: 9783031918414

Standard No.: 10.1007/978-3-031-91841-4doiSubjects--Topical Terms:

1482661
Geometry, Algebraic
--Data processing.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Ideals, varieties, and algorithms = an introduction to computational algebraic geometry and commutative algebra /
LDR:01711nam a2200337 a 4500 001 1166538
003 DE-He213
005 20250823130200.0
006 m d
007 cr nn 008maaau
008 251217s2025 sz s 0 eng d
020 $a 9783031918414 $q (electronic bk.)
020 $a 9783031918407 $q (paper)
024 7 $a 10.1007/978-3-031-91841-4 $2 doi
035 $a 978-3-031-91841-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA564
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .C877 2025
100 1 $a Cox, David A. $3 672007
245 1 0 $a Ideals, varieties, and algorithms $h [electronic resource] : $b an introduction to computational algebraic geometry and commutative algebra / $c by David A. Cox, John Little, Donal O'Shea.
250 $a Fifth edition.
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xvi, 656 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate texts in mathematics, $x 2197-5604
505 0 $a Preface -- Notation for Sets and Functions -- 1 Geometry, Algebra, and Algorithms -- 2 Groebner Bases -- 3 Elimination Theory -- 4 The Algebra-Geometry Dictionary -- 5 Polynomial and Rational Functions on a Variety -- 6 Robotics and Automatic Geometric Theorem Proving -- 7 Invariant Theory of Finite Groups -- 8 Projective Algebraic Geometry -- 9 The Dimension of a Variety -- 10 Additional Groebner Basis Algorithms -- Appendix A Some Concepts from Algebra -- Appendix B Pseudocode -- Appendix C Computer Algebra Systems -- Appendix D Independent Projects -- References -- Index.
650 0 $a Geometry, Algebraic $x Data processing. $3 1482661
650 0 $a Commutative algebra $x Data processing. $3 1495322
650 1 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Commutative Rings and Algebras. $3 672054
650 2 4 $a Mathematical Logic and Foundations. $3 669393
650 2 4 $a Mathematical Software. $3 672446
700 1 $a Little, John. $3 672008
700 1 $a O'Shea, Donal. $e author. $3 1262105
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Undergraduate texts in mathematics. $3 881276
856 4 0 $u https://doi.org/10.1007/978-3-031-91841-4
950 $a Mathematics and Statistics (SpringerNature-11649)