000			03283nam a22005175i 4500
001			978-3-211-99314-9
003			DE-He213
005			20140220084518.0
007			cr nn 008mamaa
008			100301s2010 au | s |||| 0|eng d
020			_a9783211993149 _9978-3-211-99314-9
024	7		_a10.1007/978-3-211-99314-9 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aRobbiano, Lorenzo. _eeditor.
245	1	0	_aApproximate Commutative Algebra _h[electronic resource] / _cedited by Lorenzo Robbiano, John Abbott.
264		1	_aVienna : _bSpringer Vienna, _c2010.
300			_aXIV, 227p. 15 illus., 4 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, _x0943-853X
505	0		_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.
650		0	_aMathematics.
650		0	_aAlgebra _xData processing.
650		0	_aGeometry, algebraic.
650		0	_aAlgebra.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aCommutative Rings and Algebras.
650	2	4	_aNumerical Analysis.
650	2	4	_aSymbolic and Algebraic Manipulation.
700	1		_aAbbott, John. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783211993132
830		0	_aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, _x0943-853X
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-211-99314-9
912			_aZDB-2-SMA
999			_c111136 _d111136