**Contemporary Mathematics**

Volume: 286;
2001;
240 pp;
Softcover

MSC: Primary 68; 12; 14; 13; 11;

Print ISBN: 978-0-8218-2679-9

Product Code: CONM/286

List Price: $72.00

Individual Member Price: $57.60

**Electronic ISBN: 978-0-8218-7876-7
Product Code: CONM/286.E**

List Price: $72.00

Individual Member Price: $57.60

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

Share this page *Edited by *
*Edward L. Green; Serkan Hoşten; Reinhard C. Laubenbacher; Victoria Ann Powers*

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.

#### Readership

Graduate students and research mathematicians interested in symbolic computation, applied mathematics, and engineering.

# Table of Contents

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

- Contents v6 free
- Preface vii8 free
- Equations of parametric curves and surfaces via syzygies 110 free
- An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computation 2130
- Numerical irreducible decomposition using projections from points on the components 3746
- Counting stable solutions of sparse polynomial systems in chemistry 5362
- Central configurations in the Newtonian N-body problem of celestial mechanics 7180
- A power function approach to Kouchnirenko's conjecture 99108
- Finiteness for arithmetic fewnomial systems 107116
- Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems 115124
- Computing sparse projection operators 121130
- Gröbner bases of abelian matrix groups 141150
- Lexicographic Gröbner bases of 3-dimensional transportation problems 145154
- Simplicial complexes and syzygies of lattice ideals 169178
- Algorithmic determination of the rational cohomology of complex varieties via differential forms 185194
- Differential algebras on semigroup algebras 207216
- Noncommutative Gröbner bases and Hochschild cohomology 227236