© 2010

Approximate Commutative Algebra

  • Lorenzo Robbiano
  • John Abbott

Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Martin Kreuzer, Hennie Poulisse, Lorenzo Robbiano
    Pages 1-54
  3. Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese
    Pages 55-77
  4. Wenyuan Wu, Greg Reid, Oleg Golubitsky
    Pages 79-97
  5. Robin Scott, Greg Reid, Wenyuan Wu, Lihong Zhi
    Pages 99-124

About this book


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.


algebra algebraic geometry approximate commutative algebra calculus commutative algebra computation geometry

Editors and affiliations

  • Lorenzo Robbiano
    • 1
  • John Abbott
    • 2
  1. 1.Dipto. MatematicaUniversità GenovaGenovaItaly
  2. 2.Dipto. MatematicaUniversità GenovaGenovaItaly

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