rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Approximate Commutative Algebra
  name:
    name part: Robbiano, Lorenzo.
    role:
      role term: editor.
  name:
    name part: Abbott, John.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: au
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 227 p. 15 illus., 4 illus. in color. online resource.
  abstract: Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra.
  table of contents: From Oil Fields to Hilbert Schemes -- Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials -- Towards Geometric Completion of Differential Systems by Points -- Geometric Involutive Bases and Applications to Approximate Commutative Algebra -- Regularization and Matrix Computation in Numerical Polynomial Algebra -- Ideal Interpolation: Translations to and from Algebraic Geometry -- An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint -- ApCoA = Embedding Commutative Algebra into Analysis -- Exact Certification in Global Polynomial Optimization Via Rationalizing Sums-Of-Squares.
  note: edited by Lorenzo Robbiano, John Abbott.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Numerical Analysis
  subject:
    topic: Symbolic and Algebraic Manipulation
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria
  identifier: 9783211993149
  identifier: http://dx.doi.org/10.1007/978-3-211-99314-9
  record info:
    record creation date: 100301
    record change date: 20151031131156.0
    record identifier: 978-3-211-99314-9