TY - GEN AU - Robbiano, Lorenzo, ed. AU - Abbott, John, ed. TI - Approximate commutative algebra SN - 9783211993132 U1 - 512.4 PY - 2009/// CY - New York PB - Springer KW - Commutative algebra KW - Mathematics KW - Numerical analysis KW - Geometry, Algebraic KW - Algebra KW - Algebra--Data processing KW - Commutative rings KW - Computer science--Mathematics N1 - 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 ER -