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MARC 21

Approximate Commutative Algebra
Tag	Description
020	$a9783211993149
082	$a516.35
099	$aOnline Resource : Springer
100	$aRobbiano, Lorenzo.
245	$aApproximate Commutative Algebra$h[Ebook]$cedited by Lorenzo Robbiano, John Abbott.
260	$aVienna$bSpringer Vienna$c2010.
300	$aXIV, 227 pages : 15 illus., 4 illus. in color.$bonline resource.
336	$atext
338	$aonline resource
440	$aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,$x0943-853X
505	$aFrom 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.
520	$aApproximate 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aAbbott, John.$eeditor.
710	$aSpringerLink (Online service)
830	$aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
856	$uhttp://dx.doi.org/10.1007/978-3-211-99314-9