The Resource Computational Linear and Commutative Algebra, by Martin Kreuzer, Lorenzo Robbiano, (electronic resource)

Computational Linear and Commutative Algebra, by Martin Kreuzer, Lorenzo Robbiano, (electronic resource)

Label
Computational Linear and Commutative Algebra
Title
Computational Linear and Commutative Algebra
Statement of responsibility
by Martin Kreuzer, Lorenzo Robbiano
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations
http://library.link/vocab/creatorName
Kreuzer, Martin
Image bit depth
0
LC call number
QA251.3
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Robbiano, Lorenzo.
  • SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Commutative algebra
  • Commutative rings
  • Matrix theory
  • Algebra
  • Mathematics
  • Commutative Rings and Algebras
  • Linear and Multilinear Algebras, Matrix Theory
Label
Computational Linear and Commutative Algebra, by Martin Kreuzer, Lorenzo Robbiano, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Foreword -- Introduction -- 1 Endomorphisms -- 2 Families of Commuting Endomorphisms -- 3 Special Families of Endomorphisms -- 4 Zero-Dimensional Affine Algebras -- 5 Computing Primary and Maximal Components -- 6 Solving Zero-Dimensional Polynomial Systems -- Notation -- References -- Index
Dimensions
unknown
Extent
XVIII, 321 p. 1 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319436012
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-43601-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-43601-2
Label
Computational Linear and Commutative Algebra, by Martin Kreuzer, Lorenzo Robbiano, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Foreword -- Introduction -- 1 Endomorphisms -- 2 Families of Commuting Endomorphisms -- 3 Special Families of Endomorphisms -- 4 Zero-Dimensional Affine Algebras -- 5 Computing Primary and Maximal Components -- 6 Solving Zero-Dimensional Polynomial Systems -- Notation -- References -- Index
Dimensions
unknown
Extent
XVIII, 321 p. 1 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319436012
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-43601-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-43601-2

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