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＜電子ブック＞
Approximate Commutative Algebra / edited by Lorenzo Robbiano, John Abbott
(Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria. ISSN:21978409)

版	1st ed. 2010.
出版者	(Vienna : Springer Vienna : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XIV, 227 p. 15 illus., 4 illus. in color : online resource
著者標目	Robbiano, Lorenzo editor Abbott, John editor SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings LCSH:Numerical analysis LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Algebraic Geometry FREE:Commutative Rings and Algebras FREE:Numerical Analysis FREE:Symbolic and Algebraic Manipulation
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-211-99314-9

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