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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Ideals, varieties, and algorithms/ by David A. Cox, John Little, Donal O'Shea.
Reminder of title:	an introduction to computational algebraic geometry and commutative algebra /
Author:	Cox, David A.
other author:	Little, John.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvi, 656 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Geometry, Algebraic - Data processing. -
Online resource:	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:

534087
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 /
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100 1 $a Cox, David A. $3 532047
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 : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
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 534087
650 0 $a Commutative algebra $x Data processing. $3 534088
650 1 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Mathematical Logic and Foundations. $3 892656
650 2 4 $a Mathematical Software. $3 897499
700 1 $a Little, John. $3 897258
700 1 $a O'Shea, Donal. $3 532046
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773 0 $t Springer Nature eBook
830 0 $a Undergraduate texts in mathematics. $3 1041596
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