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, non commutative systems, and applications.
Equations of parametric curves and surfaces via syzygies by D. A. Cox An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations by G. M. Diaz-Toca and L. Gonzalez-Vega Numerical irreducible decomposition using projections from points on the components by A. J. Sommese, J. Verschelde, and C. W. Wampler Counting stable solutions of sparse polynomial systems in chemistry by K. Gatermann Central configurations in the Newtonian N-body problem of celestial mechanics by I. S. Kotsireas A power function approach to Kouchnirenko's conjecture by D. Napoletani Finiteness for arithmetic fewnomial systems by J. M. Rojas Constructing double-exponential number of vectors of multiplicities of solutions of polynomial systems by D. Grigoriev Computing sparse projection operators by C. D'Andrea and I. Z. Emiris Grobner bases of abelian matrix groups by B. Sturmfels Lexicographic Grobner bases of 3-dimensional transportation problems by G. Boffi and F. Rossi Simplicial complexes and syzygies of lattice ideals by E. Briales, A. Campillo, P. Pison, and A. Vigneron Algorithmic determination of the rational cohomology of complex varieties via differential forms by U. Walther Differential algebras on semigroup algebras by M. Saito and W. N. Traves Noncommutative Grobner bases and Hochschild cohomology by M. J. Bardzell.