Elimination Methods in Polynomial Computer Algebra
By: by Valery Bykov, Alexander Kytmanov, Mark Lazman ; edited by Mikael Passare
Contributors: Kytmanov, Alexander; Lazman, Mark; Passare, Mikael
Series: Mathematics and Its Applications -- 448; Mathematics and Its Applications -- 448.
Publisher: Springer Netherlands; Imprint; Springer
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 252
ISBN-13: 9789401153027
Description: This book presents a modified method, based on multidimensional residue theory, for the elimination of unknowns from a system of nonlinear algebraic equations. An algorithm is given for constructing the resultant of the system, and a computer implementation making use of formula manipulation software is carried out. Programmes in MAPLE are available. The algorithms and programmes are then applied to questions from the theory of chemical kinetics, such as the search for all stationary solutions of kinetic equations and the construction of kinetic polynomials. The subject of this book is closely connected with a wide range of current problems in the analysis of nonlinear systems. <br/> <em>Audience:</em> This volume will be of interest to graduate students and researchers whose work involves multidimensional theory of residues, mathematical kinetics, computer algebra, and symbolic computation.