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Ideals, varieties, and algorithms = ...

Cox, David A.

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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 International Publishing : : 2015.,
Description:	xvi, 646 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 eBooks
Subject:	Geometry, Algebraic - Data processing. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-16721-3
ISBN:	9783319167213 (electronic bk.)

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. - 4th ed. - Cham :Springer International Publishing :2015. - xvi, 646 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - 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: 9783319167213 (electronic bk.)

Standard No.: 10.1007/978-3-319-16721-3doiSubjects--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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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.
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvi, 646 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate texts in mathematics, $x 0172-6056
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 Mathematics. $3 515831
650 2 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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