Texts & Monographs in Symbolic Computation

Approximate Commutative Algebra

Editors: Robbiano, Lorenzo, Abbott, John (Eds.)

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  • ISBN 978-3-211-99314-9
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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.

Table of contents (9 chapters)

Table of contents (9 chapters)
  • From Oil Fields to Hilbert Schemes

    Pages 1-54

    Kreuzer, Martin (et al.)

  • Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials

    Pages 55-77

    Bates, Daniel J. (et al.)

  • Towards Geometric Completion of Differential Systems by Points

    Pages 79-97

    Wu, Wenyuan (et al.)

  • Geometric Involutive Bases and Applications to Approximate Commutative Algebra

    Pages 99-124

    Scott, Robin (et al.)

  • Regularization and Matrix Computation in Numerical Polynomial Algebra

    Pages 125-162

    Zeng, Zhonggang

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-211-99314-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.99
price for USA in USD
  • ISBN 978-3-211-99313-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Approximate Commutative Algebra
Editors
  • Lorenzo Robbiano
  • John Abbott
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2010
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Vienna
eBook ISBN
978-3-211-99314-9
DOI
10.1007/978-3-211-99314-9
Softcover ISBN
978-3-211-99313-2
Series ISSN
0943-853X
Edition Number
1
Number of Pages
XIV, 227
Number of Illustrations
11 b/w illustrations, 4 illustrations in colour
Topics