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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."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Cox, David A
Dewey number
516.35
Illustrations
illustrations
Index
index present
LC call number
QA564
LC item number
.C688 2007
Literary form
non fiction
Nature of contents
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
  • Geometria algébrica
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
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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.
  • dimension of a variety
  • 1.
  • App. A.
  • Some concepts from algebra
  • App. B.
  • Pseudocode
  • App. C.
  • Computer algebra systems
  • App. D.
  • Independent projects
  • Geometry, algebra, and algorithms
  • 2.
  • Groebner bases
  • 3.
  • Elimination theory
  • 4.
  • algebra-geometry dictionary
Control code
78203220
Dimensions
25 cm
Edition
3rd ed.
Extent
xv, 551 pages
Isbn
9780387356501
Isbn Type
(acid-free paper)
Lccn
2006930875
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)78203220
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
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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.
  • dimension of a variety
  • 1.
  • App. A.
  • Some concepts from algebra
  • App. B.
  • Pseudocode
  • App. C.
  • Computer algebra systems
  • App. D.
  • Independent projects
  • Geometry, algebra, and algorithms
  • 2.
  • Groebner bases
  • 3.
  • Elimination theory
  • 4.
  • algebra-geometry dictionary
Control code
78203220
Dimensions
25 cm
Edition
3rd ed.
Extent
xv, 551 pages
Isbn
9780387356501
Isbn Type
(acid-free paper)
Lccn
2006930875
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)78203220

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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