Coverart for item
The Resource Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra, David A. Cox, John Little, Donal O'Shea

Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra, David A. Cox, John Little, Donal O'Shea

Label
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra
Title
Ideals, varieties, and algorithms
Title remainder
an introduction to computational algebraic geometry and commutative algebra
Statement of responsibility
David A. Cox, John Little, Donal O'Shea
Creator
Contributor
Subject
Language
eng
Summary
"The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory."--Jacket
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Cox, David A
Dewey number
516.35
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA564
LC item number
.C688 2007eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Little, John B
  • O'Shea, Donal
Series statement
Undergraduate texts in mathematics
http://library.link/vocab/subjectName
  • Geometry, Algebraic
  • Commutative algebra
  • Commutative algebra
  • Geometry, Algebraic
  • Commutative algebra
  • Geometry, Algebraic
  • Algebraïsche meetkunde
  • Dataprocessing
  • Commutatieve algebra's
  • Idealen (wiskunde)
  • Manifolds
  • Algoritmen
  • Computational geometry
Label
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra, David A. Cox, John Little, Donal O'Shea
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 535-539) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface to the First Edition -- Preface to the Second Edition -- Preface to the Third Edition -- Geometry, Algebra, and Algorithms -- Groebner Bases -- Elimination Theory -- The Algebra-Geometry Dictionary -- Polynomial and Rational Functions on a Variety -- Robotics and Automatic Geometric Theorem Proving -- Invariant Theory of Finite Groups -- Projective Algebraic Geometry -- The Dimension of a Variety -- Appendix A. Some Concepts from Algebra -- Appendix B. Pseudocode -- Appendix C. Computer Algebra Systems -- Appendix D. Independent Projects -- References -- Index
Control code
186509567
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xv, 551 pages)
Form of item
online
Isbn
9781441922571
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-35651-8
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-35650-1
Specific material designation
remote
System control number
(OCoLC)186509567
Label
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra, David A. Cox, John Little, Donal O'Shea
Publication
Bibliography note
Includes bibliographical references (pages 535-539) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface to the First Edition -- Preface to the Second Edition -- Preface to the Third Edition -- Geometry, Algebra, and Algorithms -- Groebner Bases -- Elimination Theory -- The Algebra-Geometry Dictionary -- Polynomial and Rational Functions on a Variety -- Robotics and Automatic Geometric Theorem Proving -- Invariant Theory of Finite Groups -- Projective Algebraic Geometry -- The Dimension of a Variety -- Appendix A. Some Concepts from Algebra -- Appendix B. Pseudocode -- Appendix C. Computer Algebra Systems -- Appendix D. Independent Projects -- References -- Index
Control code
186509567
Dimensions
unknown
Edition
3rd ed.
Extent
1 online resource (xv, 551 pages)
Form of item
online
Isbn
9781441922571
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-35651-8
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-35650-1
Specific material designation
remote
System control number
(OCoLC)186509567

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      38.944491 -92.326012
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