Approximate Commutative Algebra
Author:   Lorenzo Robbiano ,  John Abbott
Publisher:   Springer Verlag GmbH
Edition:   2010 ed.
ISBN:  

9783211993132


Pages:   227
Publication Date:   01 October 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Approximate Commutative Algebra


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Overview

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.

Full Product Details

Author:   Lorenzo Robbiano ,  John Abbott
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   2010 ed.
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.423kg
ISBN:  

9783211993132


ISBN 10:   3211993134
Pages:   227
Publication Date:   01 October 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

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