Elimination Methods in Polynomial Computer Algebra

This book presents a modified method, based on multidimensionalresidue theory, for the elimination of unknowns from a system ofnonlinear algebraic equations. An algorithm is given for constructingthe resultant of the system, and a computer implementation making useof formula manipulation software is carried out. Programmes in MAPLEare available. The algorithms and programmes are then applied toquestions from the theory of chemical kinetics, such as the search forall stationary solutions of kinetic equations and the construction ofkinetic polynomials. The subject of this book is closely connectedwith a wide range of current problems in the analysis of nonlinearsystems."Audience: " This volume will be of interest to graduate studentsand researchers whose work involves multidimensional theory ofresidues, mathematical kinetics, computer algebra, and symboliccomputation.