Title Symbolic Computation : Solving Equations in Algebra, Geometry, and Engineering

Published Providence : American Mathematical Society, 2001

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Description 1 online resource (250 pages) Series Contemporary Mathematics ; v. 286 Contemporary Mathematics Contents Contents -- Preface -- Equations of parametric curves and surfaces via syzygies -- An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computation -- Numerical irreducible decomposition using projections from points on the components -- Counting stable solutions of sparse polynomial systems in chemistry -- Central configurations in the Newtonian N-body problem of celestial mechanics -- A power function approach to Kouchnirenko's conjecture -- Finiteness for arithmetic fewnomial systems Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systemsComputing sparse projection operators -- GrÃœbner bases of abelian matrix groups -- Lexicographic GrÃœbner bases of 3-dimensional transportation problems -- Simplicial complexes and syzygies of lattice ideals -- Algorithmic determination of the rational cohomology of complex varieties via differential forms -- 1. Introduction -- 2. Review of the affine case -- 3. Chern classes in projective space -- 4. Open sets in projective space -- 5. An example 6. Closed and locally closed subsets7. Toric varieties -- References -- Differential algebras on semigroup algebras -- Noncommutative GrÃœbner bases and Hochschild cohomology Notes English Print version record Subject Algebra -- Data processing -- Congresses Equations -- Numerical solutions -- Data processing -- Congresses Algebra -- Data processing Equations -- Numerical solutions -- Data processing Genre/Form Conference papers and proceedings Form Electronic book Author Hoşten, Serkan Laubenbacher, Reinhard C ISBN 9780821878767 082187876X

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 286 Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering Symbolic computation: solving equations in algebra, geometry, and engineering : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering, Mount Holyoke College, South

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