Electronic ISBN:  9780821878767 
Product Code:  CONM/286.E 
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Book DetailsContemporary MathematicsVolume: 286; 2001; 240 ppMSC: Primary 68; 12; 14; 13; 11;
This volume contains papers related to the research conference, “Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering,” held at Mount Holyoke College (MA). It provides a broad range of active research areas in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.
ReadershipGraduate students and research mathematicians interested in symbolic computation, applied mathematics, and engineering.

Table of Contents

Articles

David A. Cox  Equations of parametric curves and surfaces via syzygies [ MR 1874268 ]

Gema M. DíazToca and Laureano GonzálezVega  An explicit description for the triangular decomposition of a zerodimensional ideal through trace computations [ MR 1874269 ]

Andrew J. Sommese, Jan Verschelde and Charles W. Wampler  Numerical irreducible decomposition using projections from points on the components [ MR 1874270 ]

Karin Gatermann  Counting stable solutions of sparse polynomial systems in chemistry [ MR 1874271 ]

Ilias S. Kotsireas  Central configurations in the Newtonian $N$body problem of celestial mechanics [ MR 1874272 ]

Domenico Napoletani  A power function approach to Kouchnirenko’s conjecture [ MR 1874273 ]

J. Maurice Rojas  Finiteness for arithmetic fewnomial systems [ MR 1874274 ]

Dima Grigoriev  Constructing doubleexponential number of vectors of multiplicities of solutions of polynomial systems [ MR 1874275 ]

Carlos D’Andrea and Ioannis Z. Emiris  Computing sparse projection operators [ MR 1874276 ]

Bernd Sturmfels  Gröbner bases of abelian matrix groups [ MR 1874277 ]

Giandomenico Boffi and Fabio Rossi  Lexicographic Gröbner bases of 3dimensional transportation problems [ MR 1874278 ]

E. Briales, A. Campillo, P. Pisón and A. Vigneron  Simplicial complexes and syzygies of lattice ideals [ MR 1874279 ]

Uli Walther  Algorithmic determination of the rational cohomology of complex varieties via differential forms [ MR 1874280 ]

Mutsumi Saito and William N. Traves  Differential algebras on semigroup algebras [ MR 1874281 ]

Michael J. Bardzell  Noncommutative Gröbner bases and Hochschild cohomology [ MR 1874282 ]


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This volume contains papers related to the research conference, “Symbolic Computation: Solving Equations in Algebra, Analysis, and Engineering,” held at Mount Holyoke College (MA). It provides a broad range of active research areas in symbolic computation as it applies to the solution of polynomial systems. The conference brought together pure and applied mathematicians, computer scientists, and engineers, who use symbolic computation to solve systems of equations or who develop the theoretical background and tools needed for this purpose. Within this general framework, the conference focused on several themes: systems of polynomials, systems of differential equations, noncommutative systems, and applications.
Graduate students and research mathematicians interested in symbolic computation, applied mathematics, and engineering.

Articles

David A. Cox  Equations of parametric curves and surfaces via syzygies [ MR 1874268 ]

Gema M. DíazToca and Laureano GonzálezVega  An explicit description for the triangular decomposition of a zerodimensional ideal through trace computations [ MR 1874269 ]

Andrew J. Sommese, Jan Verschelde and Charles W. Wampler  Numerical irreducible decomposition using projections from points on the components [ MR 1874270 ]

Karin Gatermann  Counting stable solutions of sparse polynomial systems in chemistry [ MR 1874271 ]

Ilias S. Kotsireas  Central configurations in the Newtonian $N$body problem of celestial mechanics [ MR 1874272 ]

Domenico Napoletani  A power function approach to Kouchnirenko’s conjecture [ MR 1874273 ]

J. Maurice Rojas  Finiteness for arithmetic fewnomial systems [ MR 1874274 ]

Dima Grigoriev  Constructing doubleexponential number of vectors of multiplicities of solutions of polynomial systems [ MR 1874275 ]

Carlos D’Andrea and Ioannis Z. Emiris  Computing sparse projection operators [ MR 1874276 ]

Bernd Sturmfels  Gröbner bases of abelian matrix groups [ MR 1874277 ]

Giandomenico Boffi and Fabio Rossi  Lexicographic Gröbner bases of 3dimensional transportation problems [ MR 1874278 ]

E. Briales, A. Campillo, P. Pisón and A. Vigneron  Simplicial complexes and syzygies of lattice ideals [ MR 1874279 ]

Uli Walther  Algorithmic determination of the rational cohomology of complex varieties via differential forms [ MR 1874280 ]

Mutsumi Saito and William N. Traves  Differential algebras on semigroup algebras [ MR 1874281 ]

Michael J. Bardzell  Noncommutative Gröbner bases and Hochschild cohomology [ MR 1874282 ]